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Unformatted text preview: Consider the function f ( x ) = x 32 x 2 +2 x4 x 23 x +2 : x n = 1 , 2 4 : x = 1 , 2 (a) Find all horizontal/oblique asymptotes to the graph of f ( x ) . (b) Find vertical asymptotes and points of discontinuity of f ( x ) . For each discontinuity, say whether or not it is removable. (c) Use the information obtained above, graph f ( x ) . (Hint: factor the denominator ±rst) 4 7 (12 pts.) At t seconds after liftoF, the height of a rocket is 4 t 2 feet. (a) How fast is the rocket climbing t seconds after liftoF? (Compute this from our de±nitions, without using derivative laws) (b) If you graph the position of the rocket as a function of time, what is the equation of the tangent line to the graph at time t = 10 ? (The equation should be in the form of y = g ( t ) . ) 5...
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 Winter '10
 FuLiu
 Math, Derivative, Limits, Mathematical analysis, Continuous function, Limit of a function

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