Find (algebraically) the absolute maximum and minimum values of f(x) = cos² x+ sin 2x on [0, 5), if any, and state where those values occur. If f has no absolute maximum or minimum value, explain why.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 61E
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Find (algebraically) the absolute maximum and minimum values of f(x) = cos² x+ sin 2x on [0, ),
if any, and state where those values occur. If f has no absolute maximum or minimum value, explain
why.
Transcribed Image Text:Find (algebraically) the absolute maximum and minimum values of f(x) = cos² x+ sin 2x on [0, ), if any, and state where those values occur. If f has no absolute maximum or minimum value, explain why.
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