Thread: Calculus - Solving equation with y sub zero in it

Solve for t: y0e-kt = y0 / 2 y0 > 0, k >0

I have no idea how to approach this problem. I don't even know what category this falls under so I'm having trouble googling info this type of problem.[/b]

in my experience y sub 0 usually indicates the value of y at time = 0 and is usually some constant.

I think your problem is related to decay processes and the t value here represents the half life of your sample.

Mod note: This looks like homework. Let me urge all members to restrict their responses to HINTS ONLY. Thank you.

Its not homework its a question from a sample exam paper. Its supposed to be y0^e-kt. I couldn't [SUP] tags to work on this forum.

Same thing. [sup] tags have been disabled because we have a LaTex facility.

Your question, then is, if

, then solve for .

This is an elementary half-life problem whose solution is simple algebra. Where are you stuck?

I did a bit of algebra and got

but I'm assuming they gave me the info
y0 > 0, k > 0
so I can solve for k and fully solve for t.

EDIT: Can't get the latex to work.

the tags will work after a few posts of yours. It's afaik a precaution to prevent spammers from posting offensive pictures