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. approximation - exact exact f(x) = sec x at a = 0, f(-0.01) where the exact value is given by a calculator.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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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
f(x) = sec x at a = 0, f(-0.01)
●
approximation - exact
exact
"
where the exact value is given by a calculator.
Transcribed Image Text: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 f(x) = sec x at a = 0, f(-0.01) ● approximation - exact exact " where the exact value is given by a calculator.
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