Question

A rock is dropped in a pond, causing circular ripples. The radius increased with a rate 1 foot per second. When the radius is 4 feet, the area is increasing by 8π square feet per second.1. True2. False

Answer 1

true

Step-by-step explanation:

A = πr²

Differentiating in respect to r

we get

dA/dr = 2πr

since r = 4feet

so ,

2π(4) = 8π