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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.2: Ellipses
Problem 1E: An ellipse is the set of all points in the plane for which the ____ of the distances from two fixed...
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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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