Calculus help

[floralcloud]

There are some problems that I am correcting, but I don't really understand why I got them wrong. I would greatly appreciate some help! My work is under the cut. Thank you in advance!

( Read more... )

Comments

[amaylia]

I think your volume equation is wrong in #1. Volume = length x width x height. Therefore, for that shape it would be V = l(w^2).

[floralcloud]

Oh, okay- so my volume equation should really be V= (96-4w)w^2?

[korean_guy_01]

yes

[misteral]

For question 2, you're not using the product rule correctly.

For

V = πr2h,

you'll have

dV/dt = πr2 × dh/dt + d/dt(πr2) × h

[floralcloud]

D'oh! I feel so silly now. Thank you!