Assume that the radius rr of a sphere is expanding at a rate of 19 in./min.19 in./min. the volume of a sphere is v=43πr3v=43πr3. determine the rate at which the volume is changing with respect to time when t=5 min. t=5 min. assuming that r=4r=4 at t=0t=0. the volume is changing at a rate of

.

Step-by-step explanation:

We are given that

Volume of sphere=

Integrating on both sides then  we get

Substitute r=4 and t=0

Substitute t=5

Hence, the volume is changing at the rate of .

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )