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Unformatted text preview: ≤ 1 ( x + 1) 2 if x >1 . 3 Exercise 2 ( 15 points ) Find the points where the tangent line to the graph of x → f ( x ) = x 33 x is perpendicular to the line 5 y3 x8 = 0 . 4 Exercise 3 ( 20 points ) An object moves along a coordinate line, its position at each time t ≥ 0 is given by x ( t ) = t + 5 t + 2 . Determine when, if ever, the object changes direction. 5 Exercise 4 ( 15 points ) Find f ”(1) where f ( x ) = ( x 25 x + 2) 10 . 6 Exercise 5 ( 25 points ) Find dy dx and d 2 y dx 2 at ( x, y ) = (5 π 6 ,5 π 6 ) knowing that cos( x + 2 y ) = 0 . 7...
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 Fall '08
 N/A
 Math, Calculus, Vector Space, Teaching assistant, School of Mathematics, object changes direction, Prof. W. Gangbo

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