a) Sketch the region S enclosed by the curves y=x²-3x and y = 2x - 6. b) Find the Area of the region S.

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Work Problem 1
a) Sketch the region S enclosed by the curves
y
= x² – 3x and y = 2x - 6.
b) Find the Area of the region S.
Work Problem 2
a) Find the points of intersection of the curves
y = -4x² and y = x² - 20.
b) Find the Volume of the solid obtained by
rotating the region bounded by the curves
-4x² and y=x² – 20,
y =
about the x-axis.
=
Transcribed Image Text:Work Problem 1 a) Sketch the region S enclosed by the curves y = x² – 3x and y = 2x - 6. b) Find the Area of the region S. Work Problem 2 a) Find the points of intersection of the curves y = -4x² and y = x² - 20. b) Find the Volume of the solid obtained by rotating the region bounded by the curves -4x² and y=x² – 20, y = about the x-axis. =
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