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

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Advance Math

Use laplace transform in solving the ff.:

After cooking for 45 minutes, when a cake is removedfrom an oven its temperature is measured at 300°F. 3 minutes laterits temperature is 200°F. The oven is not preheated, so at t=0,when the cake mixture is placed into the oven, the temperatureinside the oven is also 70°F. The temperature of the oven increaseslinearly until t=4 minutes, when the desired temperature of 300°Fis attained; thereafter the oven temperature is constant 300°F fort is greater than pr equal to 4 minutes.

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 off to aroom temperature of 70°F

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