The graphs of x = 6, y = f(x) (solid) and y = h(x) (dashed) are shown; the graph is not drawn to scale. The points labeled are A = (6,4), B = (6, 6), C = (4,5), and D (2,0). Suppose the portion of Region One in the First Quadrant is revolved around the x-axis. Select the expression (s) needed to find the volume of the solid of revolution formed when the region is revolved around the x-axis. Region One - [³ 7 ((4² - (S (~^))²¹) 6 [ 2mx (h(x) = f(x)) 2² B 6 0 [₁ 7 ((4² - (h(x))²³) 2πr(4- f(x)) -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The graphs of x = 6, y = f(x) (solid) and y = h(x) (dashed) are shown; the graph is not drawn to
scale.
The points labeled are A
=
5
© L₁ =
S
4
6
D
(6,4), B = (6, 6), C = (4, 5), and D = (2,0).
Suppose the portion of Region One in the First Quadrant is revolved around the x-axis.
Select the expression (s) needed to find the volume of the solid of revolution formed when the region is
revolved around the x-axis.
6
- L₁ =
ㅠ
5
Region One
((4² − (ƒ(x))²)
2πx(h(x) — f(x))
-
B
((4² – (h(x))²)
2πx(4- f(x))
A
Transcribed Image Text:The graphs of x = 6, y = f(x) (solid) and y = h(x) (dashed) are shown; the graph is not drawn to scale. The points labeled are A = 5 © L₁ = S 4 6 D (6,4), B = (6, 6), C = (4, 5), and D = (2,0). Suppose the portion of Region One in the First Quadrant is revolved around the x-axis. Select the expression (s) needed to find the volume of the solid of revolution formed when the region is revolved around the x-axis. 6 - L₁ = ㅠ 5 Region One ((4² − (ƒ(x))²) 2πx(h(x) — f(x)) - B ((4² – (h(x))²) 2πx(4- f(x)) A
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