Homework Help is Here – Start Your Trial Now!
Math
Calculus
4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction of U at P. (a) f(x, y) = 2² – 4y; U = cos r î + sin r î; P(-2,2) osm î + sin }a î; P(-2,2) %3D = COS (b) f(r, y) = e2rv; U = i-; P(2,1)

4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction of U at P. (a) f(x, y) = 2² – 4y; U = cos r î + sin r î; P(-2,2) osm î + sin }a î; P(-2,2) %3D = COS (b) f(r, y) = e2rv; U = i-; P(2,1)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
See similar textbooks
icon
Related questions
Question
4.Find (a) the gradient of ƒ at P and (b) the rate of change of the function value in the direction of U at P. (a) f(x, y) = x² – 4y; U = cos r î + sin 4a ĵ; P(-2,2) %3D (b) f(r, y) = e²=v; Ū = { i - ; P(2,1) %3D
Transcribed Image Text:4.Find (a) the gradient of ƒ at P and (b) the rate of change of the function value in the direction of U at P. (a) f(x, y) = x² – 4y; U = cos r î + sin 4a ĵ; P(-2,2) %3D (b) f(r, y) = e²=v; Ū = { i - ; P(2,1) %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS