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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 5. (15 pts.) Suppose that y = x + 1 x . ±ind the slope of the tangent line at the point (1 , 2). 6. (15 pts.) A moving object has position (in meters) given by f ( t ) = 30 + 10 t-2 t 2 , with t in seconds. ±ind its position when its velocity is 8 m/s. 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 seg-ment from P to Q and $100 per foot for the segment from Q to R . Total cost, C , is a func-tion 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 2...
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