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Calculus
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12 Nov 2019

Consider the equation below.

x2 ? y2 + z2 ? 2x + 2y + 4z + 1 = 0

Reduce the equation to one of the standard forms.

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Trinidad Tremblay
Trinidad TremblayLv2
12 Nov 2019

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home / study / math / calculus / calculus questions and answers / consider the function f(x,y,z) = x2 – y2 + z2 subject to the constraint x + 4z = 5 (a) f ...

Question: Consider the function f(x,y,z) = x2 – y2 + z2 subject to the constraint x + 4z = 5 (a) f need n...

Consider the function f(x,y,z) = x2 – 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.

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