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Final Part 1

# Final Part 1 - a b and c 4 A baseball diamond is a square...

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MA 141-002 Final Exam December 13, 2006 Part 1 To receive full credit on each question, you must show all work! Calculators are allowed on this part of the exam!! 1. Determine the value of c so that f ( x ) is continuous on the entire real line when f ( x ) = x - 2 , x 5 cx - 3 , x > 5 ± . 2. For f ( x ) = x 2 - 2 x , ﬁnd lim h 0 f ( x + h ) - f ( x ) h 3. Let Q ( x ) = 3 ax 3 + 2 bx 2 - 3 cx - 1. If (0 , - 1) is an inﬂection point and (1 , 2) is a relative extremum, ﬁnd the values of
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Unformatted text preview: a , b , and c . 4. A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward ﬁrst base with a speed of 24 ft/s. At what rate is his distance from second base decreasing when he is halfway to ﬁrst base? 5. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible....
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