ask 4. Let F(z,y) = [2ry² + 1, 2r²y + y]. i) At the point (3,3) in which direction is the directional derivative of f maximal? What is the value of the direc- tional derivative of ƒ in this direction at (3,3)? ii) Find the equation of the tangent plane to z = In(2r + y) at (-1,3).
ask 4. Let F(z,y) = [2ry² + 1, 2r²y + y]. i) At the point (3,3) in which direction is the directional derivative of f maximal? What is the value of the direc- tional derivative of ƒ in this direction at (3,3)? ii) Find the equation of the tangent plane to z = In(2r + y) at (-1,3).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Task 4. Let F(x, y) = [2ry² + r, 2x²y + y].
i) At the point (3,3) in which direction is the directional derivative of f maximal? What is the value of the direc-
tional derivative of f in this direction at (3, 3)?
ii) Find the equation of the tangent plane to z = In(2r + y) at (-1,3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b3bb1ae-f00f-44eb-a233-a04b09ec3821%2F7d53bafe-02b5-4bbb-af7d-75625fc12e62%2Fg4fpwgn_processed.png&w=3840&q=75)
Transcribed Image Text:Task 4. Let F(x, y) = [2ry² + r, 2x²y + y].
i) At the point (3,3) in which direction is the directional derivative of f maximal? What is the value of the direc-
tional derivative of f in this direction at (3, 3)?
ii) Find the equation of the tangent plane to z = In(2r + y) at (-1,3).
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