Suppose a block of metal heated to 250°F and then brought into a room that is at 90 ° F at 5 pm. At 5:30 pm, the temperature difference between the metal block and the room is 5 ° F. If u is the temperature of the block of metal, what is the appropriate equation to describe the rate of change of temperature of the block? O du h (u-90) dt du %3D = hu dt O du =h (u- 250) | dt O du h (90 – u) dt

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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16.
Suppose a block of metal is heated to 250°F and then brought into a
room that is at 90 ° F at 5 pm. At 5:30 pm, the temperature difference
between the metal block and the room is 5 ° F. If u is the temperature
of the block of metal, what is the appropriate equation to describe the
rate of change of temperature of the block?
O du
%3D
h (u – 90)
dt
du
%3D
= hu
dt
O du
=h (u– 250)
-
dt
O du
h (90 – u)
dt
Transcribed Image Text:Suppose a block of metal is heated to 250°F and then brought into a room that is at 90 ° F at 5 pm. At 5:30 pm, the temperature difference between the metal block and the room is 5 ° F. If u is the temperature of the block of metal, what is the appropriate equation to describe the rate of change of temperature of the block? O du %3D h (u – 90) dt du %3D = hu dt O du =h (u– 250) - dt O du h (90 – u) dt
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