Find the indicated maximum or minimum value of ( x , y ) subject to the given constraint. Maximum: f ( x , y , z ) = x + 2 y − 2 z ; x 2 + y 2 + z 2 = 4
Find the indicated maximum or minimum value of ( x , y ) subject to the given constraint. Maximum: f ( x , y , z ) = x + 2 y − 2 z ; x 2 + y 2 + z 2 = 4
Solution Summary: The author calculates the maximum value of the function, f(x,y,z)=x+2y-2z subject to the constraint.
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:
Find the minimum and maximum values of f(x, y) = x²y + 5 subject to the constraint x² + 2y²
(Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if there is no minimum or maximum.)
minimum:
maximum:
=
6.
Find the maximum and minimum values of the function f with constraint 64(x² + y²) ≤ 3.
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