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14. Despite efforts at cost containment, the cost of medical care is increasing. Two major reasons for this increase are an aging population and extensive use by physicians of new technologies. Health-care spending through the year 2000 may be approximated by: 2/5 3': 20.02836r'0.05157r'+9.60881r+41.905is35 where Sltl is the spending in millions of dollars and t is measured in years, with t=0 corresponding to the beginning of 1955. a. Find an expression for the rate of change of healthcare spending at any time t. b. How fast was health-care spending changing at the beginning of 1930? At the beginning of 2000? c. What was the amount of healthcare spending at the beginning of 1930? At the beginning of 2000? 15. The total revenue in dollars for a video game is given by: ._;. . , , RIx.100.x+2000|.1600 Xl 36,000 where x is the number of units sold. What is the rate of change of revenue with respect to x when 600 units are sold? Interpret your result. 16. The quantity of Sicard wristwatches demanded each month is related to the unit price by the equation: 50 =20sxs20 0.001x+1 p where p is measured in dollars and x in units of a thousand. a. Find the revenue function R. b. Find the marginal revenue R'. c. Compute R12}. i 2 l 17. Find an equation for the tangent line to llX11 at i2,7. x 18. Express the derivative of g|x|=x2flx2l in terms of f and the derivative off