(a) What is the rate of change of f(æ, y) = 2xy + y² at the point (2, 1) in the direction i = –3i – 3j? (b) What is the direction of maximum rate of change of f at (2, 1)? direction = (Give your answer as a vector.) (c) What is the maximum rate of change? maximum rate of change =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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(a) What is the rate of change of f(æ, y) = 2xy + y² at the point (2, 1) in the direction i = –3i – 3j?
(b) What is the direction of maximum rate of change of f at (2, 1)?
direction =
(Give your answer as a vector.)
(c) What is the maximum rate of change?
maximum rate of change =
Transcribed Image Text:(a) What is the rate of change of f(æ, y) = 2xy + y² at the point (2, 1) in the direction i = –3i – 3j? (b) What is the direction of maximum rate of change of f at (2, 1)? direction = (Give your answer as a vector.) (c) What is the maximum rate of change? maximum rate of change =
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