Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y = bsint. The eccentricity of the ellipse √a²-b² is e = a 2mab a. 2лb² + Arcsin e 2nab b. 2лb² + 2лab C. Arcsin e e d. 2πb² 2wab Arcsin e e. NONE OF THE ABOVE

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 20T
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Find the area of the surface generated by revolving about the
x-axis the ellipse x = acost, y = bsint. The eccentricity of the ellipse
√a²-b²
is e =
a
2лab
a. 2лb² + Arcsin e
e
Σπab
b. 2лb² +
2πab
C. Arcsin e
e
2пab
d. 2πb²-
Arcsin e
e. NONE OF THE ABOVE
Transcribed Image Text:Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y = bsint. The eccentricity of the ellipse √a²-b² is e = a 2лab a. 2лb² + Arcsin e e Σπab b. 2лb² + 2πab C. Arcsin e e 2пab d. 2πb²- Arcsin e e. NONE OF THE ABOVE
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