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If S is a surface with equation z = g(x, y) with x and y belonging to domain D, then the surface area of S is S S √ z² + z ² + D [] f ( x, y, z ) d A D [[ ƒ (x, y, D 1dA 9(x, y)) √ z² + z² + 1dA [] f ( x, y, g(x, y)) dA D None of the above

If S is a surface with equation z = g(x, y) with x and y belonging to domain D, then the surface area of S is S S √ z² + z ² + D [] f ( x, y, z ) d A D [[ ƒ (x, y, D 1dA 9(x, y)) √ z² + z² + 1dA [] f ( x, y, g(x, y)) dA D None of the above

Elementary Geometry For College Students, 7e
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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If S is a surface with equation z = g(x, y) with x and y belonging to domain D, then the surface area of S is S S √ z² + z ² + D [] f ( x, y, z ) d A D [[ ƒ (x, y, D 1dA 9(x, y)) √ z² + z² + 1dA [] f ( x, y, g(x, y)) dA D None of the above
Transcribed Image Text:If S is a surface with equation z = g(x, y) with x and y belonging to domain D, then the surface area of S is S S √ z² + z ² + D [] f ( x, y, z ) d A D [[ ƒ (x, y, D 1dA 9(x, y)) √ z² + z² + 1dA [] f ( x, y, g(x, y)) dA D None of the above
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