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Suppose you have just poured a cup of freshly brewed coffee with temperature 90°C in a room where the temperature is 20°C. Which one of the following differential equations can be used to model the temperature of the coffee T = T(t)? dT dt dT dt = k(T-20), where k < 0 and T(0) = 20 - k(20 T), where k < 0 and T(0) = 90 dT k(T-90), where k > 0 and T(0) = 20 dt dT k(20 T), where k > 0 and 7'(0) = 90 dt Which one of the following t values will guarantee that the angle made by the two vectors ū (2t2, 1, 3) and = (-2, 1, t) is between 0 and TT πT 2 (excluding -). 2 1 t Ot=1 2 1 t 4 t = -2

Suppose you have just poured a cup of freshly brewed coffee with temperature 90°C in a room where the temperature is 20°C. Which one of the following differential equations can be used to model the temperature of the coffee T = T(t)? dT dt dT dt = k(T-20), where k < 0 and T(0) = 20 - k(20 T), where k < 0 and T(0) = 90 dT k(T-90), where k > 0 and T(0) = 20 dt dT k(20 T), where k > 0 and 7'(0) = 90 dt Which one of the following t values will guarantee that the angle made by the two vectors ū (2t2, 1, 3) and = (-2, 1, t) is between 0 and TT πT 2 (excluding -). 2 1 t Ot=1 2 1 t 4 t = -2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 43E
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Suppose you have just poured a cup of freshly brewed coffee with temperature 90°C in a room where the temperature is 20°C. Which one of the following differential equations can be used to model the temperature of the coffee T = T(t)? dT dt dT dt = k(T-20), where k < 0 and T(0) = 20 - k(20 T), where k < 0 and T(0) = 90 dT k(T-90), where k > 0 and T(0) = 20 dt dT k(20 T), where k > 0 and 7'(0) = 90 dt
Transcribed Image Text:Suppose you have just poured a cup of freshly brewed coffee with temperature 90°C in a room where the temperature is 20°C. Which one of the following differential equations can be used to model the temperature of the coffee T = T(t)? dT dt dT dt = k(T-20), where k < 0 and T(0) = 20 - k(20 T), where k < 0 and T(0) = 90 dT k(T-90), where k > 0 and T(0) = 20 dt dT k(20 T), where k > 0 and 7'(0) = 90 dt
Which one of the following t values will guarantee that the angle made by the two vectors ū (2t2, 1, 3) and = (-2, 1, t) is between 0 and TT πT 2 (excluding -). 2 1 t Ot=1 2 1 t 4 t = -2
Transcribed Image Text:Which one of the following t values will guarantee that the angle made by the two vectors ū (2t2, 1, 3) and = (-2, 1, t) is between 0 and TT πT 2 (excluding -). 2 1 t Ot=1 2 1 t 4 t = -2
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