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1. (a) Find an equation of the tangent plane to the graph of x² + y² + z² = 16 at (0, 2, 2√3).

1. (a) Find an equation of the tangent plane to the graph of x² + y² + z² = 16 at (0, 2, 2√3).

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.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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1. (a) Find an equation of the tangent plane to the graph of x² + y² + z²2 = 16 at (0, 2, 2√3). (b) Find the surface area of the portions of the cylinder x² + z² = 16 that are within the cylinder x² + y² = 16. (c) Find the volume of the portions of the sphere x² + y² + z² = 16 that are bounded by the cylinder x² + y² - 4y = 0.
Transcribed Image Text:1. (a) Find an equation of the tangent plane to the graph of x² + y² + z²2 = 16 at (0, 2, 2√3). (b) Find the surface area of the portions of the cylinder x² + z² = 16 that are within the cylinder x² + y² = 16. (c) Find the volume of the portions of the sphere x² + y² + z² = 16 that are bounded by the cylinder x² + y² - 4y = 0.
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