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# quiz3 - MATH 125 Spring 2008 Quiz 3 Name 1(6 points...

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MATH 125 Spring 2008 – Quiz 3 Name 1. (6 points) Differentiate the following functions with respect to x : (a) f ( x ) = cos( x 2 ) (b) h ( x ) = ( x 3 + 1) cos( x 2 ). Hint: One may compute (b) using the result of (a). 2. (6 points) Let f ( x ) = 2 x x +1 . a) Write f 0 ( x ) in terms of x . b) Find x -intercept of tangent line to the curve y = f ( x ) at point (1 , 1). 1

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3. (8 points) A particle is moving along a straight line with position (measured in feet) given by s ( t ) = - t 3 + 6 t 2 - 9 t + 2, where t is measured in seconds. Write proper units for your answers. (a) Find the velocity at time t . (b) Determine when the velocity is zero. (c) When is it moving backward? (d) Find the total distance traveled by the particle during the first six seconds.
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quiz3 - MATH 125 Spring 2008 Quiz 3 Name 1(6 points...

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