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Unformatted text preview: is the relationship between P ( t ) and Q ( t )? Find a formula for Q ( t ). Solution: Since at a given time t , every lightbulb either has burned out or still works, P ( t ) + Q ( t ) = 1. We can easily compute P ( t ) by evaluating the integral i t CeCt dx . We obtain P ( t ) = 1eCt . Then Q ( t ) = 1P ( t ) = eCt . c. Suppose that a bulb has a 60% chance of lasting for 12 months. Find C . It is not necessarily to simplify your answer, or express it as a decimal. Solution: We need to solve Q (12) = e12 C = 0 . 6 for the constant C . We get12 C = ln(0 . 6) = ln(3)ln(5). So C = ln(5)ln(3) 12 ....
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This test prep was uploaded on 04/11/2008 for the course MATH 10C taught by Professor Hohnhold during the Winter '07 term at UCSD.
 Winter '07
 Hohnhold
 Math, Calculus

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