Find the directions in which f(r, y) = (r+y-2)2+(3x- y- 6)?, increase and decrease most rapidly at (1, 1) and the rate at which (f) changes in these directions?
Find the directions in which f(r, y) = (r+y-2)2+(3x- y- 6)?, increase and decrease most rapidly at (1, 1) and the rate at which (f) changes in these directions?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:• Find the directions in which f(r, y) = (r+y-2)² + (3r-y-6)2, increase and decrease most rapidly at (1, 1)
and the rate at which (f) changes in these directions?
• Estimate how much the value of f(x, y) = cos(nry) + ry?, will change if (x, y) is moved from (-1, -1) a
distance of (0.1) units in the direction of (v = i+ j)?
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