# Calc exam 3 - = x x x x f for 5 ≤ ≤ x V(7pts Find the...

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Math211 - Test III November 15, 2005 Name:________________________ Show all of your work for full credit I. (5 pts each) For a graph of 27 2 3 = + - y xy x , A. find dx dy . B. find a tangent line equation at 0 = y . II. (4 pts) Find the most general anti-derivative for the following: 1. 3 csc 2 1 2 2 6 ) ( 2 2 5 + - + - - = x x x x x f x 2. x x x x x f cos sin 2 ) ( 2 + = 3. ( 29 ) 15 10 ( 1 3 ) ( 4 2 - + - = x x x x f

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III. (7 pts) For x 13 csc = θ for 2 0 π , find the dt d when 12 = x , where 15 = dt dx . IV. (7 pts) Find the Maximum and Minimum for 30 45 3 ) ( 2 3 + - +
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Unformatted text preview: = x x x x f for 5 ≤ ≤ x . V. (7pts) Find the point on the line 1 2 = +-y x that is closest to the (-1, 1). VII. (7 pts) A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 2 ft/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 15 ft from the wall?...
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Calc exam 3 - = x x x x f for 5 ≤ ≤ x V(7pts Find the...

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