3) Find the area of the region enclosed by the following curves. y = -x? + 4x + 14 and y = (x - 2)2

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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3) Find the area of the region enclosed by the following curves.
y = -x? + 4x + 14 and y = (x – 2)²
4) Find the volume of the solid obtained by rotating about the x-axis, the region under the curve.
y = 3x +1 and line y = 0 from x = 0 to x = 2
5) Find the angle between the lines.
z+3
x = 2y + 7 = z - 9 & = -11
2
Transcribed Image Text:3) Find the area of the region enclosed by the following curves. y = -x? + 4x + 14 and y = (x – 2)² 4) Find the volume of the solid obtained by rotating about the x-axis, the region under the curve. y = 3x +1 and line y = 0 from x = 0 to x = 2 5) Find the angle between the lines. z+3 x = 2y + 7 = z - 9 & = -11 2
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