Two stoves are located26feet apart, one giving out 4 times as much heat as the other. If you stand at a point on the line between the stoves at a distancexfrom the less powerful stove, the temperature of the air is given by

H(x)=100 +60/x^2 + 240/(26-x)^2

Assume you move back an forth between the two stoves, always at least 4 ft from either stove.

(a) Assume you wish to determine the maximum and minimum temperatures you would experience. The domain to study for the function H(X) would be

[4

,22

]

(b) There is one critical number for the function on the domain in (a) and it is10.0487

.

(c) The maximum temperature you would experience ismax=??????