5. Find the volume generated by revolving the region bounded by y = 9- x2 and y = 0 about the x-axis.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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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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