Question

Find the rate of change of the area of a square whose side is 8 cm long, if this side length is increasing at 2 cm/min

Answer 1

Step-by-step explanation:

ds/dt = 5

A = s^2

Let A be area in cm, Let s be the length of the side, Let t be the time in seconds

So we are looking for dA/dt when s = 10

dA/dt = d/dt (s^2)

= 2s(ds/dt)