Question

1. What is the general rule to find a relatiie extrema, or in other words, to find a relative maximmum or minmum 2. Based on data from 1980 to 2000, the median sales price of a new one-family home in the southem United States may be modeled by P(t)0.0506t2 3.515t 58.49 where P(t) is in thousands of dollars and t is the number of years since 1980 a. Find and interpret (in your own words) the meaning of P(5) b. According to the model, was the median sales price increasing more quickly at the end of 1990 or the end of 2000? Explain. 3. The distance in feet of an object from a starting point is given by s(t) 3t2-4t 40, where t is time in seconds a. Find the average velocity of the object from 3 seconds to 5 seconds. b. Find the instantaneous velocity of the object at 5 second:s. 4. A company has determined that the cost in dollars to manufacture x cases of its product is given by TC( 10020x x2 (0 Sx s 6) Find the average rate of change of manufacturing cost per case between 1 and 5 cases. Find the instantaneous rate of change of manufacturing cost when the 3nt case is produced. Find marginal cost (MC) at x-3 a. b. c. 5. Based on data from 2000 to 2016, the average daily volume of the Nasdaq market may be modeled by V(t 0.06754t4 1.936t317.97t2 -41.27t 39.03 million shares, where t is the number of years since 2000 a. Find and interpret the meaning of V(20) b Find and interpret the meaning of V (20). c.20) and V(20) to estimate market volume in time period 21? d. Is your estimate for time period 21 an overestimate or underestimate for what it will be? Explain.

Answer 1