The area and circumference of a circle of radius r are given by a(r)=πr^2 c(r)=2πr
a. show mathematically that the average rate of change of the area of the circle as the radius increases from r to r+0.01 units is very close to the circumference of the circle.
b. explain why this makes sense geometrically.

answer is 67%

step-by-step explanation:

15 batches are the most you can make

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.