(c) Compute the volume of the solid of revolution of R about the y axis.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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Solve c please
4. Consider f(x) defined as follows:
|1+x _ifx€ [-1, 0]
– x if x € [0, 1].
f(x) =
(a) Draw the graph of f(x).
(b) Let R be the region between the graph of f(x) and the x-axis. Use moments
about the x and y axis to compute the center of gravity of R.
(c) Compute the volume of the solid of revolution of R about the y axis.
(d) Apply Pappus Guldin Theorem to get the volume of solid of revolution around
y-axis. Is there a problem? If yes, explain why?
5. This preblem is optional, you don't have to submit for grade. However, I recommend
Transcribed Image Text:4. Consider f(x) defined as follows: |1+x _ifx€ [-1, 0] – x if x € [0, 1]. f(x) = (a) Draw the graph of f(x). (b) Let R be the region between the graph of f(x) and the x-axis. Use moments about the x and y axis to compute the center of gravity of R. (c) Compute the volume of the solid of revolution of R about the y axis. (d) Apply Pappus Guldin Theorem to get the volume of solid of revolution around y-axis. Is there a problem? If yes, explain why? 5. This preblem is optional, you don't have to submit for grade. However, I recommend
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