81. Consider the function f(x) = x cos 2r. (a) Find the signed area between the graph of f(x) and the x-axis on [0, 31/4] shown in the figure next at the left. (b) Find the area between the graph of f(x) and the graph of g(x) = - cos 2x on [0, 37 /4] shown in the figure next at the right. 2.0- 2.0- 1.5+ 1.5 1.0+ 1.0- 0.5+ 0.5+ -0.5+ -0.5+ 4 4 -1.0+ -1.5+ -2.0 -1.0 -1.5+ -2.0

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Question
81. Consider the function f(x) = x cos 2r.
(a) Find the signed area between the graph of f(x) and
the x-axis on [0, 31/4] shown in the figure next at the
left.
(b) Find the area between the graph of f(x) and the graph
of g(x) = - cos 2x on [0, 37 /4] shown in the figure
next at the right.
2.0-
2.0-
1.5+
1.5
1.0+
1.0-
0.5+
0.5+
-0.5+
-0.5+
4
4
-1.0+
-1.5+
-2.0
-1.0
-1.5+
-2.0
Transcribed Image Text:81. Consider the function f(x) = x cos 2r. (a) Find the signed area between the graph of f(x) and the x-axis on [0, 31/4] shown in the figure next at the left. (b) Find the area between the graph of f(x) and the graph of g(x) = - cos 2x on [0, 37 /4] shown in the figure next at the right. 2.0- 2.0- 1.5+ 1.5 1.0+ 1.0- 0.5+ 0.5+ -0.5+ -0.5+ 4 4 -1.0+ -1.5+ -2.0 -1.0 -1.5+ -2.0
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