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Marina CMI [18]
2 years ago
10

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

,
Mathematics
1 answer:
nordsb [41]2 years ago
4 0
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<span />
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Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

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The radius can be calculated by dividing the diameter by 2. Then:

r=\frac{18in}{2}\\\\r=9in

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(9in)(\frac{1yd}{36in})=0.25yd

Substitute this radius into the formula:

C=2(3.14)(0.25yd)\\C=1.57yd

Since there are 21 circles of wire, you need to multiply C=1.57yd by 21:

C_T=(1.57yd)(21)=32.97yd

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough  to complete the job.

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