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Unformatted text preview: Math 1314 Review for Test 3 1. Write an equation of the line tangent to 2 ( ) 3 4 2 f x x x = + at the point (3, 17). 2. Find the slope of the tangent line to the graph of 2 ( ) x f x xe = at the point ( 29 4 2, 2 e . 3. Population of a city can be modeled by the function 4 2 1 ( ) 3 8 15 4 P t t t t = + + + where t is given in years with t = 0 corresponding to the beginning of 2005 and P is given in thousands. Find the rate at which population will be changing at the beginning of 2010. 4. The height of a rocket can be modeled by the equation 2 ( ) 16 94 24 h t t t =  + + . Find the velocity of the rocket when t = 2. Find the acceleration of the rocket when t = 2. 5. Find all values of x for which the slope of the line tangent to 3 2 1 ( ) 3 12 4 3 f x x x x = + + is 4. For the next several questions, refer to these facts: ABC Corporation produces calculators. Their cost of producing x of their calculators can be modeled by the function 3 2 ( ) 0.00003 0.05 100 12,000 C x x x x = ...
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 Fall '08
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 Slope

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