Hot Water is dripping through a coffeemaker, filing a large cup with coffee. The amount of coffee in the cup at time t, 0 < t < 6 is given by a differentiable function C , where t is measured in minutes. Selected values of C(t) , measured in ounces are given in the table above. (minutes) C(t) (ounces) 2 4 12.8 5 5.3 11.2 14.5 8.8 13.8 A) The volume of coffee in the cup, in ounces, can also be modeled by the functionD(y) given by D(y) = ÷ where y is the depth of the depth of the coffee in inches and D is the volume of the coffee in ounces. When the depth of the coffee is 3 inches, the Volume is increasing at a rate of 2.5 ounces per minute. According to this model, what is the rate at which the depth is increasing, in inches per minute, when the depth of the coffee is 3 inches?
Hot Water is dripping through a coffeemaker, filing a large cup with coffee. The amount of coffee in the cup at time t, 0 < t < 6 is given by a differentiable function C , where t is measured in minutes. Selected values of C(t) , measured in ounces are given in the table above. (minutes) C(t) (ounces) 2 4 12.8 5 5.3 11.2 14.5 8.8 13.8 A) The volume of coffee in the cup, in ounces, can also be modeled by the functionD(y) given by D(y) = ÷ where y is the depth of the depth of the coffee in inches and D is the volume of the coffee in ounces. When the depth of the coffee is 3 inches, the Volume is increasing at a rate of 2.5 ounces per minute. According to this model, what is the rate at which the depth is increasing, in inches per minute, when the depth of the coffee is 3 inches?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
Section: Chapter Questions
Problem 8PS
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