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Math16A - Gu Final Solutions

# Math16A - Gu Final Solutions - Prof Ming Gu 861 Evans tel...

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Math16A Sample Midterm I, Fall 2009 2 1. (a) Compute the following indefinite integral: Z x 2 + 1 /x - e 4 x dx . Solution: x 3 / 3 + ln | x | - e 4 x / 4 + C . (b) Compute the following definite integral: Z 2 1 2 x + 1 - x - 2 dx . Solution: Z 2 1 2 x + 1 - x - 2 dx = (2 x + 1) 3 / 2 / 3 + 1 /x 2 1 = 5 5 - 3 3 3 - 1 2 .
Math16A Sample Midterm I, Fall 2009 3 2. (a) Suppose that the marginal revenue function for a company is 100 - x. Find the addi-

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Math16A - Gu Final Solutions - Prof Ming Gu 861 Evans tel...

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