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{\bf Math 226: Quiz\hfill Mar.\ 16, 1992}

Show your work and circle your final answer.

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1. A car buyer borrows \$10,000 from a bank at an interest rate of 9\% per year
compounded continuously. If the buyer pays back the loan continuously over 4
years, determine how much total interest he pays over the life of the loan.

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2. Find an integrating factor for the differential equation
$$(y + e^{y-x})\,dx + (1 + xe^{y-x})\,dy = 0$$


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