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. Japproximation - exact| Jexact| c. Compute the percent error in the approximation, 100 • where the exact value is given by a calculator. f(x) = 9 -x at a = 1; f(0.9) ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Question

4.6.4

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.
lapproximation - exact|
|exact|
c. Compute the percent error in the approximation, 100 •
where the exact value is given by a calculator.
f(x) %3 9 — х* at а%3D1; f(0.9)
-x²
а. L(x) %3D — 2х + 10
b. Using the linear approximation, f(0.9) 8.2.
(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. 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. lapproximation - exact| |exact| c. Compute the percent error in the approximation, 100 • where the exact value is given by a calculator. f(x) %3 9 — х* at а%3D1; f(0.9) -x² а. L(x) %3D — 2х + 10 b. Using the linear approximation, f(0.9) 8.2. (Type an integer or a decimal.) c. The percent error in the approximation is %. (Round to three decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning