S be the region in the first quadrant bounded by the graphs of y = = and y = x, as shown in the figure above. The graphs intersect at = 0 and x = 4. ume of the solid generated when S is revolved about the line y = -2?

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
y
6+
5+
4+
3+
2+
S
1+
+
2
3
4
Let S be the region in the first quadrant bounded by the graphs of y =
and y
4
= x, as shown in the figure above. The graphs intersect at x =
O and x =
4. Which of the following gives the
volume of the solid generated when S is revolved about the line y = -2?
4
2
A
(x + 2) – (-
+2
dx
.4
2
B
(x + 2) – ( -
+ 2
dx
>
-(-)
4
2
2° – (
(x
2
dx
LO
Transcribed Image Text:y 6+ 5+ 4+ 3+ 2+ S 1+ + 2 3 4 Let S be the region in the first quadrant bounded by the graphs of y = and y 4 = x, as shown in the figure above. The graphs intersect at x = O and x = 4. Which of the following gives the volume of the solid generated when S is revolved about the line y = -2? 4 2 A (x + 2) – (- +2 dx .4 2 B (x + 2) – ( - + 2 dx > -(-) 4 2 2° – ( (x 2 dx LO
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