Question

On a typical day, the snow on a mountain melts at a rate modeled by the function A snow maker adds snow at a rate modeled by the function S(t) - 0.006t-0.12t + 0.89. Both M and S have units in inches per hour and t is measured in hours for O s t s 4. At t -o, the mountain has 40 inches of snow. (Round your answers to two decimal places (a) How much snow will melt during the 4 hour period? Indicate units of measure finches (b) Write an expression for I(t), the total number of inches of snow at any time t. I(t) (c) Find the rate of change of the total amount of snow when t 2 inches per hour (d) For 0 st s 4, at what time t is the amount of snow a maximum? hours What is the maximum value? inches -Because l(t) is increasing over [O, 4], the maximum is at t 4. Because I(e) is decreasing over [O, 4], the maximum is at t + 0o O Because 10) is concave upward over to, 41, the maximum s at t 4. 0 Because I(t) is concave downward over [0, 4], the maximum is bet ween t = 0 and t = Because I(t) is concave upward over to, 41, the maximum is at o

Answer 1

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