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6. In Section 12.5, you learned that the distance from a point (ro, Yo, zo) to a plane ax+by+cz = d is |d – axo – byo – cz,l Va? + 62 + c2 Find the point on the graph of the surface S given by z = 2? + y? + 10 closest to the plane x + 2y – z = 0. Hint: on the surface S, z - x - 2y > 0.

6. In Section 12.5, you learned that the distance from a point (ro, Yo, zo) to a plane ax+by+cz = d is |d – axo – byo – cz,l Va? + 62 + c2 Find the point on the graph of the surface S given by z = 2? + y? + 10 closest to the plane x + 2y – z = 0. Hint: on the surface S, z - x - 2y > 0.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. In Section 12.5, you learned that the distance from a point (ro, Yo, zo) to a plane ax+by+cz = d is |d – axo – byo – cz,l Va? + 62 + c2 Find the point on the graph of the surface S given by z = 2? + y? + 10 closest to the plane x + 2y – z = 0. Hint: on the surface S, z - x - 2y > 0.
Transcribed Image Text:6. In Section 12.5, you learned that the distance from a point (ro, Yo, zo) to a plane ax+by+cz = d is |d – axo – byo – cz,l Va? + 62 + c2 Find the point on the graph of the surface S given by z = 2? + y? + 10 closest to the plane x + 2y – z = 0. Hint: on the surface S, z - x - 2y > 0.
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