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42. f(x) = xª - 8x, [0, 2]

42. f(x) = xª - 8x, [0, 2]

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 64E
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#42. Determine whether mean value theorem can be applied to f on closed interval. If mean value theorem can be applied, find all values of c in the open interval... (full question in picture)
ed. 236 /1321 125% (d) Use a graphing utility tangent line. grhf, the secant line, and the Using the Mean Value Theorem In Exercises 39-52, determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = f6) – f(a) b - a If the Mean Value Theorem cannot be applied, explain why not. [0. 6] 39. f(x) = x', [-2, 1] 41. f(x) = x + 2x. [-1,1] 42. (x) = x* - 8x, [0, 2] 40. /(x) = 2r, x + 1 43. f(x) = x2/3, [0. 1] 44. /(x) = [-1, 2] 45. f(x) = |2x + 1. [-1.3] 46. S) = /2 – x (-7,2] 47. f(x) = sin x, [0. 7] %3D 48. fu) = e , [0. 2] 49. f(x) = cos x + tan x. [0. 7] 50. f(x) = (x + 3) In(x + 3), [-2. -1] 51. f(x) = x log , x. [1. 2] 52. f(x)= arctan(1-). O, 1] Using the Mean Value Theorem a graphing utility to (a) graph the function / on the given interval, (b) find and graph the secant line through points on the graph of f at the endpoints of the given interval, and (c) find and graph any tangent lines to the graph of f that are parallel In Exercises 53-58, use to the secant line.
Transcribed Image Text:ed. 236 /1321 125% (d) Use a graphing utility tangent line. grhf, the secant line, and the Using the Mean Value Theorem In Exercises 39-52, determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = f6) – f(a) b - a If the Mean Value Theorem cannot be applied, explain why not. [0. 6] 39. f(x) = x', [-2, 1] 41. f(x) = x + 2x. [-1,1] 42. (x) = x* - 8x, [0, 2] 40. /(x) = 2r, x + 1 43. f(x) = x2/3, [0. 1] 44. /(x) = [-1, 2] 45. f(x) = |2x + 1. [-1.3] 46. S) = /2 – x (-7,2] 47. f(x) = sin x, [0. 7] %3D 48. fu) = e , [0. 2] 49. f(x) = cos x + tan x. [0. 7] 50. f(x) = (x + 3) In(x + 3), [-2. -1] 51. f(x) = x log , x. [1. 2] 52. f(x)= arctan(1-). O, 1] Using the Mean Value Theorem a graphing utility to (a) graph the function / on the given interval, (b) find and graph the secant line through points on the graph of f at the endpoints of the given interval, and (c) find and graph any tangent lines to the graph of f that are parallel In Exercises 53-58, use to the secant line.
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