1. The graph of a function f, consisting of only line segments and portions of circular arcs is illustrated. =ff(t)dt. (a) Using just geometry, compute g(-2), g(1), and g(3). Include work. Define g(x) = (b) Find the domain (expressed in interval notation) on which g is increasing. (c) Find the location of the absolute maximum of g on the interval [-6, 7]. Be sure to justify.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. The graph of a function f, consisting of only line segments and portions of circular arcs is
illustrated.
Define g(x) = [₁ f(t)dt.
(a) Using just geometry, compute g(-2), g(1), and g(3). Include work.
(b) Find the domain (expressed in interval notation) on which g is increasing.
(c) Find the location of the absolute maximum of g on the interval [-6, 7]. Be sure to justify.
Transcribed Image Text:1. The graph of a function f, consisting of only line segments and portions of circular arcs is illustrated. Define g(x) = [₁ f(t)dt. (a) Using just geometry, compute g(-2), g(1), and g(3). Include work. (b) Find the domain (expressed in interval notation) on which g is increasing. (c) Find the location of the absolute maximum of g on the interval [-6, 7]. Be sure to justify.
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