The temperature, T°F, of a bowl of ice cream is increasing at a rate of T3e-0.75m where m is time in minutes since the ice cream was scooped. Suppose that the temperature of the ice cream was 7 °F when it was first scooped. dm (a) Find the equation for the temperature, T(m), of the ice scream. T(m) = (b) Which of the following represents the average temperature of the ice cream over the first half hour? 6.307 T'(m)dm O O 1/2 30 1/2 1007 T'(m)dm 1/2 T(m)dm 1/2 T(m)dm 1/2 T(m)dm T'(m)dm

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The temperature, T °F, of a bowl of ice cream is increasing at a rate of = 3e-0.75m where m is time in minutes since the ice cream was scooped. Suppose that the temperature of the ice cream was 7 °F when it was first scooped.
dm
(a) Find the equation for the temperature, T(m), of the ice scream.
T(m)
=
(b) Which of the following represents the average temperature of the ice cream over the first half hour?
S
T'(m)dm
'30
30
1/2
6.3¹² T'(m)dm
1/2
。
30
1/2
S
T(m)dm
30
1/2
["
T(m)dm
1/2
T(m)dm
30
T'(m)dm
Transcribed Image Text:dT The temperature, T °F, of a bowl of ice cream is increasing at a rate of = 3e-0.75m where m is time in minutes since the ice cream was scooped. Suppose that the temperature of the ice cream was 7 °F when it was first scooped. dm (a) Find the equation for the temperature, T(m), of the ice scream. T(m) = (b) Which of the following represents the average temperature of the ice cream over the first half hour? S T'(m)dm '30 30 1/2 6.3¹² T'(m)dm 1/2 。 30 1/2 S T(m)dm 30 1/2 [" T(m)dm 1/2 T(m)dm 30 T'(m)dm
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