Number 24 In Exercises 19-24, a function z = f(x, y) and a polnt P are%3D(a) Find the direction of maxcimal Increase of f at P.(b) What Is the maximal value of D,fat P?(c) Find the direction of minimal Increase of f at P.(d) Glve a direction such that Def= 0 at P.Note: these are the same functions and points as in Exercises13 through 18.19. f(x y) -x'y +xy' +xy, P (2,1)20. f(x,y) sinx cos y, P= (3.1.21. f(x. y) =DP=(1,1).x +y+122. (x, y)= 4x + 3y, P (5.4).23. f(x.y) + 2y xy 7x, P= (4. 1)24. x y)= y - 2x, P (1, 1)

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Answered: Number 24

Math

Calculus

Number 24

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 51E

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Question

Number 24

In Exercises 19-24, a function z = f(x, y) and a polnt P are
%3D
(a) Find the direction of maxcimal Increase of f at P.
(b) What Is the maximal value of D,fat P?
(c) Find the direction of minimal Increase of f at P.
(d) Glve a direction such that Def= 0 at P.
Note: these are the same functions and points as in Exercises
13 through 18.
19. f(x y) -x'y +xy' +xy, P (2,1)
20. f(x,y) sinx cos y, P= (
3.
1.
21. f(x. y) =D
P=(1,1).
x +y+1
22. (x, y)= 4x + 3y, P (5.4).
23. f(x.y) + 2y xy 7x, P= (4. 1)
24. x y)= y - 2x, P (1, 1)

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