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Number 24

Number 24

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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)
Transcribed Image Text: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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