Help with rate of change
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Help with rate of change

[From: ] [author: ] [Date: 12-06-28] [Hit: ]
The professor did not go over this type of problem in class, and the textbook does not explain it either.I have no idea where to even begin with this problem.Could someone please explain step by step how to do this?I would really, really appreciate it!......
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40 cm/s. Find the rate at which the area within the circle is increasing after each of the following.

(a) after 1 s
(b) after 4 s
(c) after 6 s

Answers must be in cm^2/s


The professor did not go over this type of problem in class, and the textbook does not explain it either. I have no idea where to even begin with this problem.

Could someone please explain step by step how to do this? I would really, really appreciate it!

-
r = v t

A = π r²

dA/dt = 2π r (dr/dt)

dA/dt = 2π v t * v

dA/dt = 2π v² t

at t = 1s

dA/dt = 2π (40)² (1)

dA/dt = 3200π cm^2/s
1
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