Two stoves are located 46 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/x^2 + 240/(46-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:

(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 =

(c) the maximum temperature you would experience is max =

(d) the minimum temperature you would experience is min =