Snow being produced by a snow machine is blown onto a ski mountain at a rate modeled by S(t) measured in cubic feet per hour, where t is measured in hours. At the same time, because of unseasonably warm temperatures, snow is melting at a rate modeled by M(t) measured in cubic feet per hour, where t is measured in hours. The functions S and M are nonnegative and differentiable for all times t. Which of the following inequalities indicates the rate of change of the total number of cubic feet of snow on the mountain is decreasing at time t?
Snow being produced by a snow machine is blown onto a ski mountain at a rate modeled by S(t) measured in cubic feet per hour, where t is measured in hours. At the same time, because of unseasonably warm temperatures, snow is melting at a rate modeled by M(t) measured in cubic feet per hour, where t is measured in hours. The functions S and M are nonnegative and differentiable for all times t. Which of the following inequalities indicates the rate of change of the total number of cubic feet of snow on the mountain is decreasing at time t?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4.) Snow being produced by a snow machine is blown onto a ski mountain at a rate modeled by S(t) measured in cubic feet per hour, where t is measured in hours. At the same time, because of unseasonably warm temperatures, snow is melting at a rate modeled by M(t) measured in cubic feet per hour, where t is measured in hours. The functions S and M are nonnegative and differentiable for all times t. Which of the following inequalities indicates the rate of change of the total number of cubic feet of snow on the mountain is decreasing at time t?
A.M(t)
Transcribed Image Text:4.) Snow being produced by a snow machine is blown onto a ski mountain at a rate modeled by S(t)
measured in cubic feet per hour, where t is measured in hours. At the same time, because of unseasonably
warm temperatures, snow is melting at a rate modeled by M(t) measured in cubic feet per hour, where t is
measured in hours. The functions S and M are nonnegative and differentiable for all times t. Which of the
following inequalities indicates the rate of change of the total number of cubic feet of snow on the
mountain is decreasing at time t?
A. M(t) <0
B. M '(t) <0
C. S(t)- M(t) < 0
D. S '(t)-M '(t) <0
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