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

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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Approximate the area of the region bounded.
by the graph of f(t) = cos (t/2-3/4) and the
t-axis on [π/2,3π/2] with n = 4 subintervals.
Use the midpoint of each subinterval to
determine the height of each rectangle (see
figure).
The approximate area of the region is
(Round to two decimal places as needed.)
The left Riemann sum is
(Simplify your answer.)
0.5-
The right Riemann sum is
(Simplify your answer.)
f(t) = cos(t/2-3/4)
A
2
7
Зл 2x
Q
Q
Use the tabulated values of f to evaluate the left and right Riemann sums for n = 10 over the interval [0,5].
X
2.5 3 3.5 4 4.5 5
0 0.5 1 1.5 2
f(x) 3 5 11 16 24
36 22 15 8 6
G
Transcribed Image Text:Approximate the area of the region bounded. by the graph of f(t) = cos (t/2-3/4) and the t-axis on [π/2,3π/2] with n = 4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle (see figure). The approximate area of the region is (Round to two decimal places as needed.) The left Riemann sum is (Simplify your answer.) 0.5- The right Riemann sum is (Simplify your answer.) f(t) = cos(t/2-3/4) A 2 7 Зл 2x Q Q Use the tabulated values of f to evaluate the left and right Riemann sums for n = 10 over the interval [0,5]. X 2.5 3 3.5 4 4.5 5 0 0.5 1 1.5 2 f(x) 3 5 11 16 24 36 22 15 8 6 G
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