Question

If q is positive and increasing, for what value of q is the rate of increase of q3 twelve times that of q?

Answer 1

I am in calculus and was asked this question -- but I'm totally stumped just trying to figure out what it means. Does anyone else get it? (Answers are 2, 3, 4.5, 12, and 36) I think maybe it's 3, but I'm just not sure...

Answer 2

I'm sorry, i don't get the question. What's q3?

Answer 3

Is it \[q^3\]

Answer 4

Oh my bad, formatting thing. Yep it's q^3

Answer 5

\[(q^3)/dq = (3q^2)\]\[(q)dq = (1)\]
3q^2=12
q=2

Answer 6

So then q=2 would make the rate of increase of q3 twelve times that of q?

Answer 7

*q^3

Answer 8

Yep That's what I get

Answer 9

Thanks!