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41. fa) = x - 4x² + 3x, [a, b] = [O, 3] %3D

41. fa) = x - 4x² + 3x, [a, b] = [O, 3] %3D

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
Problem 11E
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questions 41, 44, 47

41. f(x) = x – 4x² + 3x, [a, b] = [0, 3] 42 f(x) = x – 4xr² + 3x, [a, b] = [1, 3] 43. fl2) = x - 3.24x² – 3.04, [a, b] = [-2, 2] x2 - 4x %3D 44. f(x) = [a, b) = [0, 4] %3D x2-4x+3' JT 3T 45. f(x) = cos x, [a, b] = %3D 2 2 46. f(x) = sin 2x, [a, b] = [0, 27 ] 47. fx) = e*(x² - 2r), [a, b] = [0, 2] %3D %3D 48. f) = In |x? – 11, [a, b] = [-v2, v2] %3D For each graph of f in Exercises 49-52, explain why f satisfies the hypotheses of the Mean Value Theorem on the given in- terval la, b] and approximate any values ce (a, b) that satisty the conclusion of the Mean Value Theorem. 49. la, b] = [0, 2] 50. [a, b) = [-1,3]
Transcribed Image Text:41. f(x) = x – 4x² + 3x, [a, b] = [0, 3] 42 f(x) = x – 4xr² + 3x, [a, b] = [1, 3] 43. fl2) = x - 3.24x² – 3.04, [a, b] = [-2, 2] x2 - 4x %3D 44. f(x) = [a, b) = [0, 4] %3D x2-4x+3' JT 3T 45. f(x) = cos x, [a, b] = %3D 2 2 46. f(x) = sin 2x, [a, b] = [0, 27 ] 47. fx) = e*(x² - 2r), [a, b] = [0, 2] %3D %3D 48. f) = In |x? – 11, [a, b] = [-v2, v2] %3D For each graph of f in Exercises 49-52, explain why f satisfies the hypotheses of the Mean Value Theorem on the given in- terval la, b] and approximate any values ce (a, b) that satisty the conclusion of the Mean Value Theorem. 49. la, b] = [0, 2] 50. [a, b) = [-1,3]
fies the hypotme nes Then approximate any values H70) val Satisfy the 101 conclusion of Rolle's Theorem. la, b] = [-3, 1] 38. [a, b] = (-3, 3] 37. 3 2. 1. 3+ -1 4f -1+ -2+ X- -37 [a, b] = [0, 4] 40. (a, b] = [-1, 1] 39. 3+ 4. 2+ 3 1- 3 4. 2+ ercises 27-36. ether f has a each of these -1+ -2- x+ 3 -3 -2 -1 1. -3+ -1t Determine whether or not each function f in Exercises 41-48 satisfies the hypotheses of Rolle's Theorem on the given interval [a, b]. For those that do, use derivatives and algebra to find the exact values of all c e (a, b) that satisfy the conclusion of Rolle's Theorem. x² +1 | 1)5 2*
Transcribed Image Text:fies the hypotme nes Then approximate any values H70) val Satisfy the 101 conclusion of Rolle's Theorem. la, b] = [-3, 1] 38. [a, b] = (-3, 3] 37. 3 2. 1. 3+ -1 4f -1+ -2+ X- -37 [a, b] = [0, 4] 40. (a, b] = [-1, 1] 39. 3+ 4. 2+ 3 1- 3 4. 2+ ercises 27-36. ether f has a each of these -1+ -2- x+ 3 -3 -2 -1 1. -3+ -1t Determine whether or not each function f in Exercises 41-48 satisfies the hypotheses of Rolle's Theorem on the given interval [a, b]. For those that do, use derivatives and algebra to find the exact values of all c e (a, b) that satisfy the conclusion of Rolle's Theorem. x² +1 | 1)5 2*
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