13-20. Linear approximation a. Write the equation of the line that represents the linear approxima- tion to the following functions at the given point a. b. Graph the function and the linear approximation at a. c. Use the linear approximation to estimate the given function value. d. Compute the percent error in your approximation, 100 | approximation – exact|/|exact|, where the exact value is given by a calculator. 13. f(x) = 12 – x²; a = 2; f(2.1) 14. f(x) = sin x; a = 7/4; f(0.75) 15. f(x) = In (1 + x); a = 0; f(0.9) 16. f(x) = x/(x + 1); a = 1; f(1.1) 17. f(x) = cos x; a = 0; f(-0.01) 18. f(x) — e*; а — 0; f(0.05) 19. f(x) = (8 + x)-/½; a = 0; f(-0.1) 20. f(x) = Vx; a = 81; f(85)

13-20. Linear approximation a. Write the equation of the line that represents the linear approxima- tion to the following functions at the given point a. b. Graph the function and the linear approximation at a. c. Use the linear approximation to estimate the given function value. d. Compute the percent error in your approximation, 100 | approximation – exact|/|exact|, where the exact value is given by a calculator. 13. f(x) = 12 – x²; a = 2; f(2.1) 14. f(x) = sin x; a = 7/4; f(0.75) 15. f(x) = In (1 + x); a = 0; f(0.9) 16. f(x) = x/(x + 1); a = 1; f(1.1) 17. f(x) = cos x; a = 0; f(-0.01) 18. f(x) — e*; а — 0; f(0.05) 19. f(x) = (8 + x)-/½; a = 0; f(-0.1) 20. f(x) = Vx; a = 81; f(85)

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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