(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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 xdx
tan(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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74111e01-1334-4077-9bcd-a605a85cd47f%2F730c2b2f-66ad-4d74-8a36-3f7cd0bd2aca%2Fceo89mm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) By the Fundamental Theorem of Calculus, Part 2, sec2 xdx
tan(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
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