The following 3 statements all have faulty reasoning. Explain what it is that is wrong with each statement. (a) By the Fundamental Theorem of Calculus, Part 2, sec2 xdxtan(x) |5(b) The Mean Value Theorem guarantees there is a point c in the interval [-2, 1]such that h'(c) = ? where the function h(t) = |2x + 2|.(c) If f(x) > 0 on [1,5] and f'(x) > 0 on [1, 5] then Ln (the left hand approxi-mation) will overestimate the integral f(x) dx

Name: The following 3 statements all have faulty reasoning. Explain what it
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Description: The following 3 statements all have faulty reasoning. Explain what it is that is wrong with each statement. (a) By the Fundamental Theorem of Calculus, Part 2, sec2 xdxtan(x) |5(b) The Mean Value Theorem guarantees there is a point c in the interval

Given statement is: by the Fundamental theorem of calculus, ∫0πsec2xdx=0 According to the…

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(a) By the Fundamental Theorem of Calculus, Part 2, sec2 xdx tan(x) |5 = |3| (b) The Mean Value Theorem guarantees there is a point c in the interval [-2, 1] such that h'(c) = ? where the function h(t) = |2x + 2|. (c) If f(x) > 0 on [1,5] and f'(x) > 0 on [1, 5] then Ln (the left hand approxi- mation) will overestimate the integral f(x) dx

(a) By the Fundamental Theorem of Calculus, Part 2, sec2 xdx tan(x) |5 = |3| (b) The Mean Value Theorem guarantees there is a point c in the interval [-2, 1] such that h'(c) = ? where the function h(t) = |2x + 2|. (c) If f(x) > 0 on [1,5] and f'(x) > 0 on [1, 5] then Ln (the left hand approxi- mation) will overestimate the integral f(x) dx

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 52E

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