Let R be the region bounded by y = 10 sin point (2,10). a) Find the area of R T T y= = 10(x-2)², and y = 7x+3, and containing the b) Find the volume of R rotated about the x-axis c) Find the volume of R rotated about the y-axis d) Suppose R is the base of a shape in which cross-sections perpendicular to the x-axis are squares. Find the volume of this shape.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Let R be the region bounded by y = 10 sin
point (2,10).
a) Find the area of R
T
T
y=
= 10(x-2)², and y = 7x+3, and containing the
b) Find the volume of R rotated about the x-axis
c) Find the volume of R rotated about the y-axis
d) Suppose R is the base of a shape in which cross-sections perpendicular to the x-axis are squares. Find the
volume of this shape.
Transcribed Image Text:Let R be the region bounded by y = 10 sin point (2,10). a) Find the area of R T T y= = 10(x-2)², and y = 7x+3, and containing the b) Find the volume of R rotated about the x-axis c) Find the volume of R rotated about the y-axis d) Suppose R is the base of a shape in which cross-sections perpendicular to the x-axis are squares. Find the volume of this shape.
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