The graphs of y = 5, y = f(z) (solid) and y = g(z) (dashed) are shown; the graph is not drawn to scale. Region One, B Q The points labeled are A = (3,5), B = (9,5), C = (7,2), and D= (2,0). Suppose Region One is revolved around the y-axis.
The graphs of y = 5, y = f(z) (solid) and y = g(z) (dashed) are shown; the graph is not drawn to scale. Region One, B Q The points labeled are A = (3,5), B = (9,5), C = (7,2), and D= (2,0). Suppose Region One is revolved around the y-axis.
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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Question

Transcribed Image Text:Question 14
The graphs of y = 5, y = f(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to scale.
A
Region One,
Q
The points labeled are A = (3,5), B = (9,5), C = (7,2), and D= (2,0).
Suppose Region One is revolved around the y-axis.
Select the expression(s) needed to find the volume of the solid of revolution formed when the region is
revolved around the y-axis.
of 2m² (
© * 2nx (5 – 9(x)) dx
027²
M
2πx(g(x) - f(x)) dr
(g(x))² – (f(x))² de
2лx(5-f(x)) dx
© ſ² ×(5² – (9(x))²) de
¯ [² ~(5² − (ƒ(x)}²) de
B
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