Hot Water is dripping through a coffeemaker, filing a large cup with coffee. The amount of coffee in the cup at time t, 0

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Rational Expressions
Problem 72E
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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.
t (minutes)
C(t) (ounces)
2
4
5
5.3
8.8
11.2
12.8
13.8
14.5
A) Use the data table to approximate C'(3.5).
B) What does the value of C'(3.5) represent?
the number of ounces of coffee in the cup at t = 3.5 minutes
the number of minutes it will take to increase the amount of coffee one ounce at t = 3.5 minutes
the rate at which coffee is filling the cup at t = 3.5 minutes
the total amount of coffee in the cup att= 3.5 minutes
O the rate at which the rate the coffee is filling the cup is changing at t = 3.5 minutes
C) Indicate the units of measure for C"(3.5).
D) Is there a time t, 2 <t < 4 at which C' (t) = 2 ? Justify your answer.
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Points possible: 4
This is attempt 1 of 4.
Transcribed Image Text: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. t (minutes) C(t) (ounces) 2 4 5 5.3 8.8 11.2 12.8 13.8 14.5 A) Use the data table to approximate C'(3.5). B) What does the value of C'(3.5) represent? the number of ounces of coffee in the cup at t = 3.5 minutes the number of minutes it will take to increase the amount of coffee one ounce at t = 3.5 minutes the rate at which coffee is filling the cup at t = 3.5 minutes the total amount of coffee in the cup att= 3.5 minutes O the rate at which the rate the coffee is filling the cup is changing at t = 3.5 minutes C) Indicate the units of measure for C"(3.5). D) Is there a time t, 2 <t < 4 at which C' (t) = 2 ? Justify your answer. License Points possible: 4 This is attempt 1 of 4.
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