The size, S, of a tumor (in cubic millimeters) is given by S=2^t, where t is the number of months since the tumor was discovered. Give units with your answers.

(a) What is the total change in the size of the tumor during the first 9 months?

Answer: The total change is

and its units =.

(b) What is the average rate of change in the size of the tumor during the first 9 months?

Answer: The average rate of change is

,

and its units =.

(c) Use an interval of 0.001 to approximate the rate of change at which the tumor is growing at t=9.

Answer: The rate is

,

Question

Mathematics

Sasha Frazier

Today, 07:35

The size, S, of a tumor (in cubic millimeters) is given by S=2^t, where t is the number of months since the tumor was discovered. Give units with your answers.

(a) What is the total change in the size of the tumor during the first 9 months?

Answer: The total change is

and its units =.

(b) What is the average rate of change in the size of the tumor during the first 9 months?

Answer: The average rate of change is

,

and its units =.

(c) Use an interval of 0.001 to approximate the rate of change at which the tumor is growing at t=9.

Answer: The rate is

,

+5

Answers (1)

Know the Answer?

Sarai · Answer 1

A) you just do 2^9 which is 512 cubic millimeters

b) using the average rate of change formula you get 56.78 cubic millimeters per month

c) I do not understand at all I am stuck on the same one