Find the extremum of f ( x , y ) subject to given constraint, and state whether it is a maximum or a minimum. f ( x , y , z ) = x 2 + y 2 + z 2 ; x + y + z = 2
Find the extremum of f ( x , y ) subject to given constraint, and state whether it is a maximum or a minimum. f ( x , y , z ) = x 2 + y 2 + z 2 ; x + y + z = 2
Solution Summary: The author explains how the extreme value of the function f(x,y,z) is obtained in the following steps: 1. Form a Lagrange function; 2. Obtain the solutions for the system
Find the maximum and minimum values of the function f(x, y, z, t) = x + y + z +t subject to the constraint
x² + y? + z? + t?
144. Maximum value is
occuring at
points
(positive integer or "infinitely many"). Minimum value is
occuring at
points (positive integer or "infinitely many").
Find the minimum and maximum values of the function f(x, y, z) = 3x + 2y + 2z subject to the constraint
x² + 2y² + 5z² = 1.
(Use decimal notation. Round your answers to one decimal place.)
minimum:
maximum:
University Calculus: Early Transcendentals (3rd Edition)
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