Find the equations of planes that just touch the sphere (x – 4)² + (y – 5)² + (z – 2)² = 16 and are parallel to - - (a) The xy-plane: and (b) The yz-plane: and (c) The xz-plane: and

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 15AEXP
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1 ThreeDSpace 10.1:
Problem 9
(1 point)
Find the equations of planes that just touch the sphere
(x – 4)2 + (y – 5)² + (z – 2)² = 16 and are parallel to
(a) The xy-plane:
and
(b) The yz-plane:
and
(c) The xz-plane:
and
Transcribed Image Text:1 ThreeDSpace 10.1: Problem 9 (1 point) Find the equations of planes that just touch the sphere (x – 4)2 + (y – 5)² + (z – 2)² = 16 and are parallel to (a) The xy-plane: and (b) The yz-plane: and (c) The xz-plane: and
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