This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x, y, z, t) = x+y+z+t, x² + y2 + z² + t² = 25 maximum value minimum value

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This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the
given constraint.
f(x, y, z, t) = x+y+z+t, x² + y² + z² + t² = 25
maximum value
minimum value
Transcribed Image Text:This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x, y, z, t) = x+y+z+t, x² + y² + z² + t² = 25 maximum value minimum value
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