Find the center, the foci, the vertices, and the eccentricity of the ellipse with general equation: x2 + 4y² – 4x + 8y – 8 = 0. 7. -

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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Part III.
5. Find the volume generated by revolving the region bounded by
y = 9-
x' and y = 0 about the x-axis.
6. Sketch the region bounded by the graphs of y = 2 – x², and y = -x
and find the area of this region by means of a definite integral.
I
7.
Find the center, the foci, the vertices, and the eccentricity of the ellipse
with general equation: x² + 4y2 – 4x + 8y – 8 = 0.
Transcribed Image Text:Part III. 5. Find the volume generated by revolving the region bounded by y = 9- x' and y = 0 about the x-axis. 6. Sketch the region bounded by the graphs of y = 2 – x², and y = -x and find the area of this region by means of a definite integral. I 7. Find the center, the foci, the vertices, and the eccentricity of the ellipse with general equation: x² + 4y2 – 4x + 8y – 8 = 0.
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