Figure 14 shows the graph of (x) = x sin x. Let (a) Locate the local max

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Figure 14 shows the graph of ƒ(x) = x sin x. Let F(x) = S t sint dt.

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(a) Locate the local max and absolute max of F on [0, 3π].
(b) Justify graphically: F has precisely one zero in [π, 2π].

(c) How many zeros does F have in [0, 3π]?
(d) Find the inflection points of F on [0, 3π]. For each one, state whether the concavity changes from up to down or from down to up.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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