Let I be the region between the graphs of f(2) = 2 - r and g(x) = Let II be the shaded region between the graph of g(x) = and the x-axis for r € [0, 2). 2 II Use the shell method to match each region with the volume of the solid formed when the given region is rotated about the y-axis. I А. (4r – x') dr II (4x – a? – x/2a) da I+ II C. r/2z dr 4 – x*) dz D. E. (4y – y) dy

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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Let I be the region between the graphs of f(2) = 2 - r and g(x) =
Let II be the shaded region between the graph of g(x) =
and the x-axis for r € [0, 2).
2
II
Use the shell method to match each region with the volume of the solid formed when the given region is rotated about the y-axis.
I
А.
(4r – x') dr
II
(4x – a? – x/2a) da
I+ II
C.
r/2z dr
4 – x*) dz
D.
E.
(4y – y) dy
Transcribed Image Text:Let I be the region between the graphs of f(2) = 2 - r and g(x) = Let II be the shaded region between the graph of g(x) = and the x-axis for r € [0, 2). 2 II Use the shell method to match each region with the volume of the solid formed when the given region is rotated about the y-axis. I А. (4r – x') dr II (4x – a? – x/2a) da I+ II C. r/2z dr 4 – x*) dz D. E. (4y – y) dy
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