Reduce equation to standard from
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Consider the equation below.
5y2 + z2 � x � 20y � 4z + 24 = 0
(a) Reduce the equation to one of the standard forms.
x2 ? y2 + z2 ? 2x + 2y + 4z + 1 = 0
Reduce the equation to one of the standard forms.
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Question: Consider the function f(x,y,z) = x2 â y2 + z2 subject to the constraint x + 4z = 5 (a) f need n...
Consider the function f(x,y,z) = x2 â y2 + z2 subject to the constraint x + 4z = 5
(a) f need not have an absolute maximum nor absolute minimum because x + 4z = 5 is a plane, which is not compact. Show that, in fact, f does not have an absolute minimum.
(b) f does have an absolute maximum. Use Lagrange multipliers to find where f has its absolute maximum.
