The graphs of y = 2, y = g(z) (solid) and y = f(z) (dashed) are shown; the graph is not drawn to scale Region One ◆. a The points labeled are A = (3, 2), B = (6,2), C = (4,1), and D= (2,0). Suppose the portion of Region One in the First Quadrant 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. f*2x2(2) d **((2)² = f(x)²) dz **(g(2))² – (1(2))² dz dr (2)² da Of 2.2 2nz (2-f(z)) dz [*2rz(g(z)-f(x)) dz
The graphs of y = 2, y = g(z) (solid) and y = f(z) (dashed) are shown; the graph is not drawn to scale Region One ◆. a The points labeled are A = (3, 2), B = (6,2), C = (4,1), and D= (2,0). Suppose the portion of Region One in the First Quadrant 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. f*2x2(2) d **((2)² = f(x)²) dz **(g(2))² – (1(2))² dz dr (2)² da Of 2.2 2nz (2-f(z)) dz [*2rz(g(z)-f(x)) dz
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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Transcribed Image Text:Question 10
The graphs of y=2, y = g(x) (solid) and y = f(z) (dashed) are shown; the graph is not drawn to scale.
Region
One
a
The points labeled are A=(3, 2), B = (6,2), C = (4,1), and D = (2,0).
Suppose the portion of Region One in the First Quadrant is revolved around the 3-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*2mz (2) dr
¯ * =((2)² – ƒ(x)²) dz
>
**((9(2))² – (1(2))² dz
f*(2)² de
Jo
*2m2 (2 - ƒ(2)) dz
0 * 2nx(g(2) - f(x)) dz
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