Assume f and g are continuous with f(x) ≥ g(x) 20 on [a,b]. The region bounded by the graphs of f and g and the lines x = a and x = b is revolved about the y axis. Write the integral given by the shell method that equals the volume of the resulting solid. Identify the integral. Choose the correct answer below. b OA. 2xx(g(x)-f(x))dx a OD. b OB. 2x(g(x)-f(x))dx a b oc. 2лx(f(x)-g(x))dx a b 2x(f(x)-g )-g(x))dx ····

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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K
Assume f and g are continuous with f(x) ≥ g(x) ≥0 on [a,b]. The region bounded by the graphs of f and g and the lines x = a and x = b is revolved about the y axis. Write
the integral given by the shell method that equals the volume of the resulting solid.
Identify the integral. Choose the correct answer below.
OA.
b
21x(9
2лx(g(x)-f(x))dx
a
b
B. 2x(g(x)-f(x) dx
a
b
O C. [2rx(f(x)
2лx(f(x) - g(x))dx
a
b
OD. [2(f(x)-g(x) dx
a
Transcribed Image Text:K Assume f and g are continuous with f(x) ≥ g(x) ≥0 on [a,b]. The region bounded by the graphs of f and g and the lines x = a and x = b is revolved about the y axis. Write the integral given by the shell method that equals the volume of the resulting solid. Identify the integral. Choose the correct answer below. OA. b 21x(9 2лx(g(x)-f(x))dx a b B. 2x(g(x)-f(x) dx a b O C. [2rx(f(x) 2лx(f(x) - g(x))dx a b OD. [2(f(x)-g(x) dx a
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