# Quiz-01-Keys - Name Quiz 1 Keys dy x cos x 2 dx 2 dy x cos...

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• hain2005
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Name: _______________________________ Quiz 1 - Keys 1. What is the solution to the differential equation: 2 cos dy x x dx You find the solution by integrating: 2 cos dy x x dx Integration can be performed using the u-substitution to yield: 2 2 1 1 cos 2 sin 2 2 y x xdx x C 2. A container of liquid is heated to 200 o F and then removed to be placed in a freezer. The temperature of the freezer is set at 25 o F. After 10 minutes, the liquid cools down to 120 o F . When will it cool down to 50 o F ? As discussed in class and in the textbook, the cooling model is: kt o a y C e T You use the initial temperature at time = 0 to find C o : 0 200 25 200 25 175 o o C e C So, at this point, you have: 175 25 kt y e To find k , use the temperature after 10 min: 10 120 175 25 0.061091 k e k The complete cooling model is then: 0.061091 175 25 t y e and you now can use it to answer the question:

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