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

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Advance Math

Use Laplace Tranform in solving the ff.:

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

Solve the following:

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

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