finalpractice - Math 2250 Final Exam Practice Problems 1....

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Math 2250 Final Exam Practice Problems 1. What are the domain and range of the function f ( x ) = ln x x ? 2. Find the inverse of the function f ( x ) = 1000(1 + 0 . 07) x . 3. Find the point on the graph of y = e 3 x at which the tangent line passes through the origin. 4. Find the equation of the tangent line to the curve xy 3 - x 2 y = 6 at the point (3 , 2). 5. Use an appropriate linearization to approximate 96. 6. Consider the function f ( x ) = x 2 e - x 2 . What is the absolute maximum of f ( x )? 7. A movie theater has been charging $7.50 per person and selling about 400 tickets on a typical weeknight. After surveying their customers, the theater estimates that for every $1.50 that they lower the price, the number of moviegoers will increase by 30 per night. This means the graph of the demand function p ( x ) is a line passing through the points (400 , 7 . 5) and (430 , 6); using the point-slope formula, this means that p ( x ) = - x 20 + 27 . 5. Find the price which will maximize the theater’s revenue.
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This note was uploaded on 01/18/2012 for the course MATH 2250 taught by Professor Chestkofsky during the Fall '08 term at University of Georgia Athens.

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finalpractice - Math 2250 Final Exam Practice Problems 1....

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