# Thread: Parametric Equations Issue

1. Hey, I just need help on where I've gone wrong on this question.

4) Find the equation of the tangent to the curve , at the point where .

My working:

When

And

Which is the point

For ,

Therefore,

, when

Hence, the equation of the tangent is given by

It's probably just a simple mistake that I've made, or just completely forgot about a certain step. I've checked over my work a few times though; I'm at a loss to how it's incorrect.

Thanks!

2.

3. Hmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsNHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp lia methodsHmm holo chisinau cauliflower divulge thoughT rothko below below schlepp N

4. Originally Posted by fiveworlds
lol A tangent line is any line which crosses the curve once your curve is 2dimensional so if I plug 12,31 into +1y=mx+c and state where z=y-31 then you have loads of tangents to pick from. Careful though I got a zero for that.
Sorry, I don't follow :c. What have I done wrong in my working out?

5. Hmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsNHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp lia methodsHmm holo chisinau cauliflower divulge thoughT rothko below below schlepp N

6. It's not that. I just don't realise how what you've said below is relevant. Probably just going over my head, but surely there is only one tangent to t=2.

The Cartesian equation for the curve is , after all.

Draw Function Graphs - Plotter
Try graphing it.

Originally Posted by fiveworlds
if I plug 12,31 into +1y=mx+c and state where z=y-31 then you have loads of tangents to pick from. Careful though I got a zero for that.
This is the bit I don't understand.

7. N

8. But z=0 for this curve... That's what I'm basing my answer on.

9. Hmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsNHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp lia methodsHmm holo chisinau cauliflower divulge thoughT rothko below below schlepp

10. Originally Posted by fatart123
It's not that. I just don't realise how what you've said below is relevant.
Fiveworlds isn't the sharpest tool in the box, it's best to just ignore him.

11. Originally Posted by fiveworlds
But the tangent does not have to be on z=0
Obviously, because z isn't specified.

Originally Posted by fiveworlds
the tangent
Finally.

12. N

13. Will this walkthrough help you to check your work?
(558, #5) Find an equation of the tangent to the curve

14. Ah, I didn't use the inverse of as part of the chain rule. My bad .

Thanks.

15. Hmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsN

17. Hmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsN

18. Originally Posted by fiveworlds
Im not giving bad advice im giving my definition of a tangent. Which obivously varies dependant on where you are and who you ask.
What crap.

It doesnt mean that either version of a tangent is incorrect or bad advice.
If you don't give the actual definition then it's both incorrect AND bad advice.

Yet if you give the,right definition in the wrong place it doesnt make you appear correct our definition of correct/wrong being completely relative to the observer. Wheras correct maths is always the same
You're more often wrong than right.

19. Hmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methodsHmm holo chisinau cauliflower divulge thoughT rothko below schlepp odelia methods

20. Originally Posted by fiveworlds
Im not giving bad advice im giving my definition of a tangent.
Your definition was irrelevant. The context of tangent was crystal clear from the OP--and you choose to ignore that and mislead the poster. If you were just providing an extra tidbit of information, like a "did you know" then you should have made that clear--you didn't. You either didn't understand the OP, don't understand the math, are trolling or aren't being careful enough to distinguish between what relevant and helpful and what's trivia. I'll assume it was the latter--so just be more careful in the future. Thanks

21. Originally Posted by fatart123
Hey, I just need help on where I've gone wrong on this question.

4) Find the equation of the tangent to the curve , at the point where .

My working:

When

And

Which is the point

For ,

Here is your error.
You divide those derivatives, not multiply!

Therefore,

, when

Hence, the equation of the tangent is given by

It's probably just a simple mistake that I've made, or just completely forgot about a certain step. I've checked over my work a few times though; I'm at a loss to how it's incorrect.

Thanks!

22. Originally Posted by fatart123
Hey, I just need help on where I've gone wrong on this question.

4) Find the equation of the tangent to the curve , at the point where .

My working:

When

And

Which is the point

For ,

Therefore,

, when

Hence, the equation of the tangent is given by

It's probably just a simple mistake that I've made, or just completely forgot about a certain step. I've checked over my work a few times though; I'm at a loss to how it's incorrect.

Thanks!
m= 144 and not 148

so , y-31=144(x-12)
y= 144x-1728
y-31=144(12)-1728
y-31=1728-1728
y-31=0
y=31

 Bookmarks
##### Bookmarks
 Posting Permissions
 You may not post new threads You may not post replies You may not post attachments You may not edit your posts   BB code is On Smilies are On [IMG] code is On [VIDEO] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are On Terms of Use Agreement