Suppose f (x, y) = 1æ² + 2ry– 3y, P = (1,-3), and u = (, 8). %3D 20 20 A. Compute the gradient of f. Vf% = Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Evaluate the gradient at the point P. (Vf) (1,-3) = Note: Your answers should be numbers C. Compute the directional derivative of f at P in the direction u . (Duf) (P) = Note: Your answer should be a number
Suppose f (x, y) = 1æ² + 2ry– 3y, P = (1,-3), and u = (, 8). %3D 20 20 A. Compute the gradient of f. Vf% = Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Evaluate the gradient at the point P. (Vf) (1,-3) = Note: Your answers should be numbers C. Compute the directional derivative of f at P in the direction u . (Duf) (P) = Note: Your answer should be a number
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 33E
Related questions
Question
![20 20
Suppose f (x, y) = 1a? + 2ry – 3y, P = (1, -3), and u = (, 10).
A. Compute the gradient of f.
i+
j
Vf =
"3x - 4y"
Note: Your answers should be expressions of x and
y; e.g.
B. Evaluate the gradient at the point P.
i+
(Vf) (1,-3) =
Note: Your answers should be numbers
C. Compute the directional derivative of f at P in the direction u .
(Duf)(P)=
Note: Your answer should be a number
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Transcribed Image Text:20 20
Suppose f (x, y) = 1a? + 2ry – 3y, P = (1, -3), and u = (, 10).
A. Compute the gradient of f.
i+
j
Vf =
"3x - 4y"
Note: Your answers should be expressions of x and
y; e.g.
B. Evaluate the gradient at the point P.
i+
(Vf) (1,-3) =
Note: Your answers should be numbers
C. Compute the directional derivative of f at P in the direction u .
(Duf)(P)=
Note: Your answer should be a number
Previous
rch
Th
68°F
**-
Home
End
Insert
F8
F9
F10
F12
%23
&
*
3
4
7
8
E
R
O P
{
F
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K
с
V
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