1. [0/2 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.1.509.XP. Find the absolute maximum and absolute minimum values of f on the given interval. ((x) = xe-x2/162, [-4, 18] 4 -4, absolute minimum value X 9 absolute maximum value 9,- Vg X 2. [-/3 Points] DETAILS SCALCET8 4.1.063. If a and b are positive numbers, find the maximum value of f(x) = xe(9 - x) on the interval o s x $ 9. 3. [-/2 Points] DETAILS SCALCET8 4.1.529.XP. Find the absolute maximum and absolute minimum values of fon the given interval. f ( x ) = - x2 + 9 [0, 5] absolute minimum value absolute maximum value5. [-/1 Points] DETAILS SCALCET8 4.1.044. Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f ( x ) = x- In(x) X 6. [-/2 Points] DETAILS SCALCET8 4.1.505.XP. Find the absolute maximum and absolute minimum values of f on the given interval. At) = tv 4 - +2, [-1, 2] absolute minimum value absolute maximum value 7. [-/2 Points] DETAILS SCALCET8 4.1.508.XP.MI. Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 8 cos(t) + 4 sin(2t), [0, n/2] absolute minimum absolute maximum7. [1/5 Points] DETAILS PREVIOUS ANSWERS Two stoves are located 41 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 + - 60 240 * 2 (41-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 15.846 (c) The maximum temperature you would experience is max = (d) The minimum temperature you would experience is min =