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# exam3practice - charge to maximize proﬁt 3 Find the...

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Math 2250 Exam #3 Practice Problems 1. Determine the absolute maximum and minimum values of the function f ( x ) = x 1 + x 2 . 2. A specialty publisher has typically sold trade paperbacks for \$15, averaging 300 sales per week. The publisher has found that increasing the price by 50 cents reduces sales by 10 per week, so the demand function is p ( x ) = - x 20 + 30. If the books cost \$10 each to make, what price should the publisher
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Unformatted text preview: charge to maximize proﬁt? 3. Find the inﬂection points for the function f ( x ) = 8 x + 3-2 sin x, < x < 3 π. 4. Evaluate the limit lim x → + x 2 csc 2 x. 5. Given that f ( t ) = 2 t-3 sin t, f (0) = 5 , ﬁnd f . 6. Find the absolute minimum value of the function f ( x ) = e x x for x > 0. 7. Evaluate the integral Z sec 3 t tan 3 tdt. 1...
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