Soap is sometimes used to determine the location of leaks in industrial pipes. A perfectly spherical soap bubble is growing at a rate of . What is the rate of change of the surface area of the bubble when the radius of the bubble is ?

A pizzeria chef is flattening a circular piece of dough. The surface area of the dough (we are only considering the top of the dough) is increasing at a rate of 0.5 inches/sec. How quickly is the diameter of the pizza changing when the radius of the pizza measures 4 inches?

Given the velocity function

where is real number such that , find the acceleration function

.

Given the velocity function

where is real number such that , find the acceleration function

.

Given the velocity function

where is real number such that , find the acceleration function

.

Given the velocity function

where is real number such that , find the acceleration function

.

Given the velocity function

where is real number such that , find the acceleration function

.

Given the velocity function

where is real number such that , find the acceleration function

.

Find the equation of the line tangent to the curve at the point where

Given the velocity function

where is real number such that , find the acceleration function

.