Question: Problems B.25: As a cake is pulled out ofan oven, its temperature is greater than the temperature of the air in the kitchen, which is
Problems B.25: As a cake is pulled out ofan oven, its temperature is greater than the temperature of the air in the kitchen, which is constant at80F. The rate at which the temperature of the cake decreases at any time tis proportional to the difference between its temperature (t) and the temperature of the air in the kitchen. B.25.d Plot the function (t)vs.t for 0t20 min, assuming the initial condition provided inB.25.c. For instructions on what it means to plot the function, see instructions for problems B.17-B.24.B.25.c For your general solution in part B.25.b, and assuming that the temperature of the cake when initiallyremoved from the oven is350F, and that T(2min)=200F, determine T(5min). Assume 2.7as theapproximate value of(the exponential function), and use the logarithm chart inB.16 rather that a calculator. B.25.d Plot the function T(t)vs.t for 0t20min, assuming the initial condition provided inB.25.c. Forinstructions on what it means to plot the function, see instructions for problems B.17-B.24.
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