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4:36 PM Tue Apr 21 * 39% 4 3.6: Exercise Set A AA 19. Let Ax) = x². a. Find the linearization L(x) of f at a = 3 . b. Use the linearization to approximate 3.12 . c. Find 3.1 using a calculator. d. What is the difference between the approximation and the actual value of 3.12? 20. Let g(x) = x'. a. Find the linearization L(x) of g at a = 4. b. Use the linearization to approximate 3.9° . c. Find 3.9° using a calculator. d. What is difference between the approximation and the actual value of 3.9 ? 21. Let h(x) VA. a. Find the linearization L(x) of h at a = 16. b. Use the linearization to approximate V17. c. Find V17 using a calculator. d. What is the difference between the approximation and the actual value of V17? 22. Let k(x) = 1/ x. a. Find the linearization L(x) of k at a = 4. b. Use the linearization to approximate 1/V3. c. Find 1//3 using a calculator. d. What is the difference between the approximation and the actual value of 1/ 3? 23. Let f(x) = e* . a. Find the linearization L(x) of f at a = 2. b. Use the linearization to approximate e . c. Find e using a calculator. d. What is the difference between the approximation and the actual value of e2.1 ? 24. Let f(x) = In x . a. Find the linearization L(x) of f at a = e . b. Use the linearization to approximate In 2.72. c. Find In 2.72 using a calculator. d. What is the difference between the approximation and the actual value of ln 2.72?

4:36 PM Tue Apr 21 * 39% 4 3.6: Exercise Set A AA 19. Let Ax) = x². a. Find the linearization L(x) of f at a = 3 . b. Use the linearization to approximate 3.12 . c. Find 3.1 using a calculator. d. What is the difference between the approximation and the actual value of 3.12? 20. Let g(x) = x'. a. Find the linearization L(x) of g at a = 4. b. Use the linearization to approximate 3.9° . c. Find 3.9° using a calculator. d. What is difference between the approximation and the actual value of 3.9 ? 21. Let h(x) VA. a. Find the linearization L(x) of h at a = 16. b. Use the linearization to approximate V17. c. Find V17 using a calculator. d. What is the difference between the approximation and the actual value of V17? 22. Let k(x) = 1/ x. a. Find the linearization L(x) of k at a = 4. b. Use the linearization to approximate 1/V3. c. Find 1//3 using a calculator. d. What is the difference between the approximation and the actual value of 1/ 3? 23. Let f(x) = e* . a. Find the linearization L(x) of f at a = 2. b. Use the linearization to approximate e . c. Find e using a calculator. d. What is the difference between the approximation and the actual value of e2.1 ? 24. Let f(x) = In x . a. Find the linearization L(x) of f at a = e . b. Use the linearization to approximate In 2.72. c. Find In 2.72 using a calculator. d. What is the difference between the approximation and the actual value of ln 2.72?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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4:36 PM Tue Apr 21 * 39% 4 3.6: Exercise Set A AA 19. Let Ax) = x². a. Find the linearization L(x) of f at a = 3 . b. Use the linearization to approximate 3.12 . c. Find 3.1 using a calculator. d. What is the difference between the approximation and the actual value of 3.12? 20. Let g(x) = x'. a. Find the linearization L(x) of g at a = 4. b. Use the linearization to approximate 3.9° . c. Find 3.9° using a calculator. d. What is difference between the approximation and the actual value of 3.9 ? 21. Let h(x) VA. a. Find the linearization L(x) of h at a = 16. b. Use the linearization to approximate V17. c. Find V17 using a calculator. d. What is the difference between the approximation and the actual value of V17? 22. Let k(x) = 1/ x. a. Find the linearization L(x) of k at a = 4. b. Use the linearization to approximate 1/V3. c. Find 1//3 using a calculator. d. What is the difference between the approximation and the actual value of 1/ 3? 23. Let f(x) = e* . a. Find the linearization L(x) of f at a = 2. b. Use the linearization to approximate e . c. Find e using a calculator. d. What is the difference between the approximation and the actual value of e2.1 ? 24. Let f(x) = In x . a. Find the linearization L(x) of f at a = e . b. Use the linearization to approximate In 2.72. c. Find In 2.72 using a calculator. d. What is the difference between the approximation and the actual value of ln 2.72?
Transcribed Image Text:4:36 PM Tue Apr 21 * 39% 4 3.6: Exercise Set A AA 19. Let Ax) = x². a. Find the linearization L(x) of f at a = 3 . b. Use the linearization to approximate 3.12 . c. Find 3.1 using a calculator. d. What is the difference between the approximation and the actual value of 3.12? 20. Let g(x) = x'. a. Find the linearization L(x) of g at a = 4. b. Use the linearization to approximate 3.9° . c. Find 3.9° using a calculator. d. What is difference between the approximation and the actual value of 3.9 ? 21. Let h(x) VA. a. Find the linearization L(x) of h at a = 16. b. Use the linearization to approximate V17. c. Find V17 using a calculator. d. What is the difference between the approximation and the actual value of V17? 22. Let k(x) = 1/ x. a. Find the linearization L(x) of k at a = 4. b. Use the linearization to approximate 1/V3. c. Find 1//3 using a calculator. d. What is the difference between the approximation and the actual value of 1/ 3? 23. Let f(x) = e* . a. Find the linearization L(x) of f at a = 2. b. Use the linearization to approximate e . c. Find e using a calculator. d. What is the difference between the approximation and the actual value of e2.1 ? 24. Let f(x) = In x . a. Find the linearization L(x) of f at a = e . b. Use the linearization to approximate In 2.72. c. Find In 2.72 using a calculator. d. What is the difference between the approximation and the actual value of ln 2.72?
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