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Question 3 Some people who don't appreciate the finer things in life brew coffee in a percolator which results in subpar coffee, since the balance of compounds is not ideal when extraction occurs at the boiling point of water. As a connoisseur, you prefer to brew your coffee at 93° C. You pour over your coffee at t= 0, where t is in minutes, eventually transfer it to your insulated mug, and finish drinking it after one hour. The temperature of your coffee T = f(t), in degrees Celsius, at various times is given below. t 10 20 30 40 50 60 T = f(t) 93 74 59 49 44 42 41 Assume that f(t) is a decreasing function on its domain 0

Question 3 Some people who don't appreciate the finer things in life brew coffee in a percolator which results in subpar coffee, since the balance of compounds is not ideal when extraction occurs at the boiling point of water. As a connoisseur, you prefer to brew your coffee at 93° C. You pour over your coffee at t= 0, where t is in minutes, eventually transfer it to your insulated mug, and finish drinking it after one hour. The temperature of your coffee T = f(t), in degrees Celsius, at various times is given below. t 10 20 30 40 50 60 T = f(t) 93 74 59 49 44 42 41 Assume that f(t) is a decreasing function on its domain 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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Question 3 Some people who don't appreciate the finer things in life brew coffee in a percolator which results in subpar coffee, since the balance of compounds is not ideal when extraction occurs at the boiling point of water. As a connoisseur, you prefer to brew your coffee at 93° C. You pour over your coffee at t 0, %3D where t is in minutes, eventually transfer it to your insulated mug, and finish drinking it after one hour. The temperature of your coffee T = f(t), in degrees Celsius, at various times is given below. 10 20 30 40 50 60 T = f(t) 93 74 59 49 42 41 44 Assume that f(t) is a decreasing function on its domain 0 <t< 60. (a) Estimate f'(20) using an appropriate average rate of change. Include units. (b) Write a sentence explaining the practical interpretation of the statement f(35) = 47. (c) Write a sentence explaining the practical interpretation of the statement f-'(43) = 44. (d) Write a sentence explaining the practical interpretation of the statement f'(10) = -1.7.
Transcribed Image Text:Question 3 Some people who don't appreciate the finer things in life brew coffee in a percolator which results in subpar coffee, since the balance of compounds is not ideal when extraction occurs at the boiling point of water. As a connoisseur, you prefer to brew your coffee at 93° C. You pour over your coffee at t 0, %3D where t is in minutes, eventually transfer it to your insulated mug, and finish drinking it after one hour. The temperature of your coffee T = f(t), in degrees Celsius, at various times is given below. 10 20 30 40 50 60 T = f(t) 93 74 59 49 42 41 44 Assume that f(t) is a decreasing function on its domain 0 <t< 60. (a) Estimate f'(20) using an appropriate average rate of change. Include units. (b) Write a sentence explaining the practical interpretation of the statement f(35) = 47. (c) Write a sentence explaining the practical interpretation of the statement f-'(43) = 44. (d) Write a sentence explaining the practical interpretation of the statement f'(10) = -1.7.
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