a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. f(x)= 1 X a = 1; approximate a. p₁(x) = 1 + (x − 1) b. P₂(x) = −1+ (x-1) - (x − 1)² 1 0.98 c. Using the linear approximating polynomial to estimate, (Type an integer or a decimal.) - 1 0.98 is approximately ...
a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. f(x)= 1 X a = 1; approximate a. p₁(x) = 1 + (x − 1) b. P₂(x) = −1+ (x-1) - (x − 1)² 1 0.98 c. Using the linear approximating polynomial to estimate, (Type an integer or a decimal.) - 1 0.98 is approximately ...
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Step 1: Define the problem
VIEWStep 2: Calculate the derivative of given function
VIEWStep 3: Calculate the linear approximation
VIEWStep 4: Calculate the second derivative of function
VIEWStep 5: Calculate the Quadratic approximation
VIEWStep 6: Using the linear approximation estimate -1/0.98
VIEWStep 7: Using the Quadratic approximation estimate -1/0.98
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