Use Laplace Tranform in solving the ff.: After cooking for 45 minutes, when a cake is...

Use Laplace Tranform in solving the ff.:

After cooking for 45 minutes, when a cake is removed from an oven, its temperature is measured at 300°F. 3 minutes later, its temperature is 200°F. The oven is preheated, and so at t=0, the cake mixture is at the room temperature of 70°F. The temperature of the oven increases linearly until t=4 minutes, when the desired temperature of 300°F is attained; thereafter the oven temperature is constant 300°F for t is greater than or equal to 4 minutes.

Solve the following:

a.) devised a mathematical model for the temperature of a cake while it is inside the oven and after it is taken out of the oven.
b.) how long will it take the cake to cool of to a room temperature of 70°F?

Expert Solution

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Colby Messinger answered 2 years ago

Use laplace Transform in solving the ff.: After cooking for 45 minutes, when a cake is...

Use laplace Transform in solving the ff.: After cooking for 45 minutes, when a cake is removed from an oven its temperature is measured at 300°F. 3 minutes later its temperature is 200°F. The oven is pre heated, and so at t=0, the cake mixture is at the room temperature of 70°F. The temperature of the oven increases linearly until t=4 minutes, when the desired temperature of 300°F is attained; thereafter the oven temperature is constant 300°F for t is...

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Use Laplace Tranform in solving the ff.: After cooking for 45 minutes, when a cake is...

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