4. A cold drink is placed into a warm room. The temperature of the drink after t minutes is given by the function T(t). (a) What is the physical meaning of T'(0)? (b) Is T'(0) positive or negative? (c) Which do you expect is larger in absolute value: T'(0) or T'(10)? Explain. (d) Based on your experience, what would you expect T' (60) to be?
4. A cold drink is placed into a warm room. The temperature of the drink after t minutes is given by the function T(t). (a) What is the physical meaning of T'(0)? (b) Is T'(0) positive or negative? (c) Which do you expect is larger in absolute value: T'(0) or T'(10)? Explain. (d) Based on your experience, what would you expect T' (60) to be?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question
4. A cold drink is placed into a warm room. The temperature of the drink after t minutes is given
by the function T(t).
(a) What is the physical meaning of T
0
(0)?
(b) Is T
0
(0) positive or negative?
(c) Which do you expect is larger in absolute value: T
0
(0) or T
0
(10)? Explain.
(d) Based on your experience, what would you expect T
0
(60) to be?
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