3 Let R be the shaded region between the graphs of y == and y =- 3x from x 1 to r+1 V3, as shown in the figure above. (a) Find the area of R. (b) Find the volume of the solid generated by revolving R about the y-axis.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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19 BC
3
3x
Let R be the shaded region between the graphs of y== and y =-
from x =1 to
x=V3, as shown in the figure above.
(a) Find the area of R.
(b) Find the volume of the solid generated by revolving R about the y-axis.
A=
3x
x²41) dx
%3D
W3, 1,7321)
= 3In (13) -n(8)
- n(3) - In C6)
%3D
Transcribed Image Text:19 BC 3 3x Let R be the shaded region between the graphs of y== and y =- from x =1 to x=V3, as shown in the figure above. (a) Find the area of R. (b) Find the volume of the solid generated by revolving R about the y-axis. A= 3x x²41) dx %3D W3, 1,7321) = 3In (13) -n(8) - n(3) - In C6) %3D
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