Two stoves are located 39 feet 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 distance x from the less powerful stove, the temperature of the air is given by h(x)=100 + 60/x² + 240/ (39-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
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(b) there is one critical number for the function on the domain in (a) and it is .
(c) the maximum temperature you would experience is max = .
(d) the minimum temperature you would experience is min = .
