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Unformatted text preview: (0 , 0). You choose the free ends. (b) (5 pts.) Guess the tangent slope at (0 , 0). 1 0.5 0.5 1 1 0.5 0.5 1 3 5. (15 pts.) Suppose that y = x + 1 x . Find the slope of the tangent line at the point (1 , 2). 4 6. (15 pts.) A moving object has position (in meters) given by f ( t ) = 30 + 10 t2 t 2 , with t in seconds. Find its position when its velocity is 8 m/s. 5 7. (10 pts.) You wish to install a cable running from P to Q to R as shown in the Fgure at right. It costs you $180 per foot for the segment from P to Q and $100 per foot for the segment from Q to R . Total cost, C , is a function of the distance x from T to Q . Compute the average rate of change of C ( x ) on the interval 0 x 50 feet. 350 ft 150 ft x P Q R T 6...
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 Fall '08
 STAFF
 Calculus, Derivative

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