Question

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 not preheated, so at t=0, when the cake mixture is placed into the oven, the temperature inside the oven is also 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 pr equal to 4 minutes.

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.

Answer 1