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bachelor in business administration
Polytechnic State University Sanluis
Jan-2006 - Nov-2010
CPA
Polytechnic State University
Jan-2012 - Nov-2016
Professor
Harvard Square Academy (HS2)
Mar-2012 - Present
Cake Inside an Oven Reread Example 4 in Section 2.7 on the cooling of a cake that is taken out of an oven.
(a) Devise a mathematical model for the temperature of a cake while it is inside the oven based on the following assumptions: At t = 0 the cake mixture is at the room temperature of 70°; the oven is not preheated so that at t = 0, when the cake mixture is placed into the oven, the temperature inside the oven is also 70°; the temperature of the oven increases linearly until t = 4 minutes, when the desired temperature of 300° is attained; the oven temperature is a constant 300° for t ≥ 4.
(b) Use the Laplace transform to solve the initial-value problem in part (a).
Example 4
Solve y" + 4y' + 6y = 1 + e-t, y(0) = 0, y'(0) = 0.
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