Mathematics, 04.01.2021 01:50 annabellthedivp3u9ve
On a typical day, the snow on Pike Mountain melts at a rate modeled by the function
M(t), given by M(t)=π/6sin(πt/12)
A snow maker adds snow at a rate modeled by the function S, given by
S(t)=0.006t^2−0.12t+0.87
Both M and S have units in inches per hour and t is measured in hours for 0≤t≤6. At time t = 0, the mountain has 40 inches of snow.
a. How much snow will melt during the 6 hour period? Indicate units of measure.
b. Write an expression for I(t), the total number of inches of snow at any time t.
c. Find the rate of change of the total amount of snow at time t = 3.
Answers: 1
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On a typical day, the snow on Pike Mountain melts at a rate modeled by the function
M(t), given by ...
Mathematics, 15.07.2020 01:01