Question # 146

that 145. f(1) = 5, f' (1) = 3 and f"(1) = -6. 144. A car driving along a freeway with traffic has traveled s(t) = 13 - 6t2 + 9t meters in t seconds. a. Determine the time in seconds when the velocity of the car is 0. b. Determine the acceleration of the car when the velocity is 0. 145. [T] A herring swimming along a straight line has 12 traveled s(t) = 72 + 2 feet in t seconds. Determine the velocity of the herring when it has traveled 3 seconds. 146. The population in millions of arctic flounder in the Atlantic Ocean is modeled by the function P(t ) = - 8t + 3 where t is measured in years. 0.2+2 + 1 a. Determine the initial flounder population. b. Determine P' (10) and briefly interpret the result. 147. [T] The concentration of antibiotic in the bloodstream t hours after being injected is given by the function C(t) = 2tz + t where C is measured in +3 + 50 milligrams per liter of blood. a. Find the rate of change of C(t). b. Determine the rate of change for t = 8, 12, 24, and 36. c. Briefly describe what seems to be occurring as the number of hours increases. 148. A book publisher has a cost function given by x 2 C(x) = x+2x+3, where x is the number of copies of a book in thousands and C is the cost, per book, measured in dollars. Evaluate C' (2) and explain its meaning