Approximate the area of the region bounded f(t) = cos(t/2-3x/4) 1- by the graph of f(t) = cos (t/2-3x/4) and the t-axis on [3x/4,7x/4] with n= 4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle (see figure). 0.5 3x 2x 2 The approximate area of the region is (Round to two decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Approximate the area of the region bounded
by the graph of f(t) = cos (t/2-31/4) and the
t-axis on [3x/4,7x/4] with n=4 subintervals.
Use the midpoint of each subinterval to
determine the height of each rectangle (see
figure).
f(t) = cos(t/2- 3x/4)
1-
0.5-
2
The approximate area of the region is
(Round to two decimal places as needed.)
rec
Transcribed Image Text:Approximate the area of the region bounded by the graph of f(t) = cos (t/2-31/4) and the t-axis on [3x/4,7x/4] with n=4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle (see figure). f(t) = cos(t/2- 3x/4) 1- 0.5- 2 The approximate area of the region is (Round to two decimal places as needed.) rec
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