a. Witte 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)=12-2? at a=2;1(2.1) a. L(x) = b. Using the linear approximation, (2.1) (Type an integer or a decimal.) c. The percent error in the approximation is %. (Round to three decimal places as needed.) approximation-exact exact where the exact value is given by a calculator.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a. Wirte the eguation 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
lapproximation-exact
exact
e. Compute the percent error in the approximation, 100 -
where the exact value is given by a calculator.
f0x)= 12-22 at a= 2, 12.1)
a. L(x)=
b. Using the linear approximation, f(2.1)
(Type an integer or a decimal.)
c. The percent error in the approximation is %.
(Round to three decimal places as needed.)
Transcribed Image Text:a. Wirte the eguation 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 lapproximation-exact exact e. Compute the percent error in the approximation, 100 - where the exact value is given by a calculator. f0x)= 12-22 at a= 2, 12.1) a. L(x)= b. Using the linear approximation, f(2.1) (Type an integer or a decimal.) c. The percent error in the approximation is %. (Round to three decimal places as needed.)
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