Rate of change of Area in a Rectangle

• April 26th 2008, 06:51 AM
rawrzjaja
Rate of change of Area in a Rectangle
Thank you =)
• April 26th 2008, 06:55 AM
Moo
Hello,

Let $A$ be the area of the rectangle.

$A(t)=ab=(1+t^{1/3})^3 (10-\sqrt{t})^2$

What you look for is $\frac{dA}{dt}(64)$

So find the derivative for $A(t)$ and find its value at t=64.
• April 27th 2008, 04:11 AM
CaptainBlack
Quote:

Originally Posted by Moo
Hello,

Let $A$ be the area of the rectangle.

$A(t)=ab=(1+t^{1/3})^3 (10-\sqrt{t})^2$

What you look for is $\frac{dA}{dt}(64)$

So find the derivative for $A(t)$ and find its value at t=64.

Another consequence of not quoting the post you are replying to is this, the blighter has deleted his/her question leaving your answer hanging. This makes it more difficult for someone else to learn from what you have done.

(Quoting also makes it more difficult for someone who is trying to cheat in maths competions or on their exams to elliminate the evidence)

RonL
• April 27th 2008, 08:06 AM
Moo
I'll do it next time (Bow)
But I've got something like 50% of accuracy when it comes to quote things :D