4. (i) Use the parametric equations of an ellipse, x = a cos (t) , y = b sin (t), 0 < t 2m, to find the area that it encloses. (ii) Find the area of the region bounded by r2 200 cos (20).

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
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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4. (i) Use the parametric equations of an ellipse, r
= a cos (t) , y = bsin (t), 0 < t < 27, to find
the area that it encloses.
(ii) Find the area of the region bounded by r² = 200 cos (20).
Transcribed Image Text:4. (i) Use the parametric equations of an ellipse, r = a cos (t) , y = bsin (t), 0 < t < 27, to find the area that it encloses. (ii) Find the area of the region bounded by r² = 200 cos (20).
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