2Suppose that f(x, y, z) = 4x+5y + 2z at which x² + y² + z ² ≤ 3 ².1. Absolute minimum of f(x, y, z) is2. Absolute maximum of f(x, y, z) is

Answered: Image /qna-images/answer/014a4ee9-025b-4f51-a2da-53c6bd662a0f.jpg

Answered: 2 Suppose that f(x, y, z) = 4x+5y + 2z…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 8CC: What does it mean to say that f(4) is a local maximum valueof f ?

See similar textbooks

Similar questions

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.
What does it mean to say that f(4) is a local maximum valueof f ?
If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?
Find the point P where the function f(x, y, z) = x+y+z7 reaches the maximum value for x, y, z ≥ 0 on the unit sphere. (Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (*,*,*).) P =
Check that the equation x³ + y³ + 2³ = x + y + z implicitly defines at least one differentiable function z = z (x, y). Express az/ ax and az/ay in terms of x, y, z
express the extreme value theorem for functions of two variables . find the absolute maximum and minimum values of f(x,y)=2x2-4x+y2-4y+1 on the triangle bounded by x=0, y=2 and y=2x.
Find the maximum value of the function f(x, y, z) = 2/79x + 2y- 2z+3 subject to constrain x2 +y? + z? = 8². A. -141 В. 150 С. -140 D. 144 E. 135 F. 141 G. 147 Н. 149
Find the relative maximum and minimum of ?(?,?)=?^2 + ?^2 +?^2 given that 9?^2 +4?^2 +2?^2 =36 Interpret geometrically.
Show that the following function is a concave function on R° : f(x,x, )= -x} - x,x, – 2x Then, Find the optimal solution to Maximize z= f(g,»92)=-4q -15q; +55q, +135q, – 100
What is the maximum of the function f(x, y) = 2xy + 2x - 2x- y? а. (х, у) %3 (1, 1) Оь. (х, у) %3D (1,0) О с. (х, у) %3D (0, 1) O d. (x, y) = (0, 2) O e. (x, y) = (2, 2) O f. (x, y) = (2,0) Clear my choice

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

2 Suppose that f(x, y, z) = 4x+5y + 2z at which x² + y² + z ² ≤ 3 ². 1. Absolute minimum of f(x, y, z) is 2. Absolute maximum of f(x, y, z) is