11, y = (x² + 1)-², y = 2-(x² + 1)-2, x = 2

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Can you help me solve 11 using the shell method? Thank you!
1. f(x)= x³, [0, 1]
3.
f(x)=x-¹, [1,3]
ZBT(ZY
f(x)=√x² +9, [0,3]
6. f(x)=√
In Exercises 7-14, use the Shell Method to compute the volume obtained by
rotating the region enclosed by the graphs as indicated, about the y-axis.
7, y = 3x-2, y = 6-x, x=0
2.
4.
13, y = et², y = 0, x = 1,
8.
y = √√√x, y=x²
9. y=x², y=8-x², x = 0, for x ≥ 0
10. y=8-x³, y = 8-4x, for x ≥ 0
11. y = (x² + 1)-², y = 2-(x² + 1)-2, x = 2
LANG
12. y = 1- |x-1|, y=0 mW both
f(x) = √√x, [0,4]
bilde
f(x) = 4-x², [0,2]
gish) Cuben)
x = 2
[1,4]
x = 4
BIXA
14. y = √x² +9, y = 0, x = 0,
In Exercises 15 and 16, use a graphing utility to find the points of inter-
section of the curves numerically and then compute the volume of rai ion
irigad(author)
(23.) x =
24. x =
25. x =
& JUCAT
26. x =
COUL
(27) y =
28. y =
29. De
to dete
cal axi
y = g
interva
(a) x
(c) x
(e) x
30. L
Transcribed Image Text:1. f(x)= x³, [0, 1] 3. f(x)=x-¹, [1,3] ZBT(ZY f(x)=√x² +9, [0,3] 6. f(x)=√ In Exercises 7-14, use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as indicated, about the y-axis. 7, y = 3x-2, y = 6-x, x=0 2. 4. 13, y = et², y = 0, x = 1, 8. y = √√√x, y=x² 9. y=x², y=8-x², x = 0, for x ≥ 0 10. y=8-x³, y = 8-4x, for x ≥ 0 11. y = (x² + 1)-², y = 2-(x² + 1)-2, x = 2 LANG 12. y = 1- |x-1|, y=0 mW both f(x) = √√x, [0,4] bilde f(x) = 4-x², [0,2] gish) Cuben) x = 2 [1,4] x = 4 BIXA 14. y = √x² +9, y = 0, x = 0, In Exercises 15 and 16, use a graphing utility to find the points of inter- section of the curves numerically and then compute the volume of rai ion irigad(author) (23.) x = 24. x = 25. x = & JUCAT 26. x = COUL (27) y = 28. y = 29. De to dete cal axi y = g interva (a) x (c) x (e) x 30. L
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