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a. Write the equation of the line that represents the linear approximation to the following function at the given point a.b. Use the linear approximation to estimate the given quantity.C. Compute the percent error in the approximation, 100 .where the exact value is given by a calculator.exact-0.02f(x)-e-x; a = 0:

Question
a. Write the equation of the line that represents the linear approximation to the following function at the given point a.
b. Use the linear approximation to estimate the given quantity.
C. Compute the percent error in the approximation, 100 .
where the exact value is given by a calculator.
exact
-0.02
f(x)-e-x; a = 0:
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a. Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity. C. Compute the percent error in the approximation, 100 . where the exact value is given by a calculator. exact -0.02 f(x)-e-x; a = 0:

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Step 1

The expression for calculating linear approximation is shown on board. We substitute the values of a, f(a), f'(a) to get the required equation of line.

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Step 2

To find e^-0.02 , we substitute the value x=0.02 in the expression of linear  approximation.

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Step 3

The calculation for % errro...

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