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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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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)
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