Estimate the derivative from the table of average rates of change. HINT [See discussion at the beginning of the section.] (Round your answer to one decimal place.) r'(−8) =    h 1 0.1 0.01 0.001 0.0001 Ave. Rate of Change of r Over [ −8, −8 + h] -5.4 -3.51 -3.523 -3.50045 -3.5000024 h -1 -0.1 -0.01 -0.001 -0.0001 Ave. Rate of Change of r Over [−8 + h, −8] -2.6 -3.41 -3.480 -3.49945 -3.4999

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A: Rate of change can be found using following formula :

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Q: Estimate the derivative from the table of average rates of change. HINT [See discussion at the…

A: The table of average rates of change is as shown below:

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A:

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A: The given function is f(x)=7e0.5x.

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A:

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A: Given function is

Q: Estimate the derivative from the table of average rates of change. HINT [See discussion at the…

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A: Definition used-              The average rate of change =f(x2)-f(x1)x2-x1

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A:

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A: For part a).   f'(x) >0                         Answer : a, b, d   For part b).   f'(x) <0…

Q: Need help

A: Given function:

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A: Given,

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A: The objective is to find r'(6) from the given table.

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A:

Q: Estimate the derivative from the table of average rates of change. HINT [See discussion at the…

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Q: Estimate the derivative from the table of average rates of change. HINT [See discussion at the…

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Q: Estimate the derivative from the table of average rates of change. HINT [See discussion at the…

A: With the help of given Table we have to determine r'(8).

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A:

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A: Using the formula of average rate of change.

Q: Estimate the derivative from the table of average rates of change. HINT [See discussion at the…

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A:

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A: Since multiple sub parts are asked , I am solving first 3 subparts.

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A: Given:

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A:

Exponential Growth Model

The relation that represents an exponential function is: