f(x.y) = xy' - 2x, P = (1, 1) 2.3 (a) In the direction of v (3.3) (b) In the direction toward the point Q (1, 2).

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 18A: For each exercise, functions of two angles are given. Which of the functions of the two angles is...
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Question
Number 18
16. f(x, y) = -4x + 3y, P = (5, 2)
%3D
(a) In the direction of V= (3, 1).
(b) In the direction toward the point Q (2, 7).
17. f(x, y) = x + 2y - xy- 7x, P = (4,1)
%3D
(a) In the direction of V= (-2,5)
(b) In the direction toward the point d= (4,0).
%3D
18. f(x. y) = xy - 2x, P = (1, 1)
(a) In the direction of V (3, 3)
(b) In the direction toward the point Q (1,2).
Transcribed Image Text:16. f(x, y) = -4x + 3y, P = (5, 2) %3D (a) In the direction of V= (3, 1). (b) In the direction toward the point Q (2, 7). 17. f(x, y) = x + 2y - xy- 7x, P = (4,1) %3D (a) In the direction of V= (-2,5) (b) In the direction toward the point d= (4,0). %3D 18. f(x. y) = xy - 2x, P = (1, 1) (a) In the direction of V (3, 3) (b) In the direction toward the point Q (1,2).
In Exerdises 13- 18, a function z = (x,y) and a point P are
given. Find the directional derivative of ƒ in the indicated di-
rections. Note: these are the same functions as in Exercises
7 through 12.
Transcribed Image Text:In Exerdises 13- 18, a function z = (x,y) and a point P are given. Find the directional derivative of ƒ in the indicated di- rections. Note: these are the same functions as in Exercises 7 through 12.
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Q(18).    Given f(x,y)=x2y3-2x, P=(1,1)

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