the-temperature-of-a-fluid-in-heating-unit-of-a-plant-is-given-by-T-x-y-z-100-z-3-10-x-1-2-y-2-2-find-the-minimum-and-maximum-temperatures-if-the-heat-exchanging-components-have-the-s

Question Number 131717 by LYKA last updated on 07/Feb/21

t h e t e m p e r a t u r e o f a f l u i d

i n h e a t i n g u n i t o f a p l a n t i s g i v e n b y

T (x . y . z) = \frac{100 (z - 3)}{10 - {(x - 1)}^{2} + {(y - 2)}^{2}}

f i n d t h e m i n i m u m a n d m a x i m u m

t e m p e r a t u r e s i f t h e h e a t e x c h a n g i n g

c o m p o n e n t s h a v e t h e s h a p e s

z = \frac{x^{2}}{4} - \frac{y^{2}}{9} a n d

{(x - 1)}^{2} + {(y - 1)}^{2} + {(z - 3)}^{2} = 36