![]() The amount, in milligrams, of the medication in the patient at A medication is administered to a patient.Visit College Board on the web: collegeboard. Value c, − 4 < c < 2, for which G ¢(c) is equal to this average rate of change? Justify your answer. (d) Find the average rate of change of G on the interval. (b) Let P be the function defined by P x( ) = G x( ) ◊ f x( ). (a) On what open intervals is the graph of G concave up? Give a reason for your answer. Let G be the function defined by G x( ) = ∫ 0 xf t( ) dt. Let f be a continuous function defined on the closed interval − 4 £ x £ 6.What is the value of c for this spinning toy? (c) For another spinning toy, the volume is 2 p cubic inches. Largest cross-sectional circular slice is 1 inches. For a particular spinning toy, the radius of the (b) It is known that, for y = cx 4 − x 2, dy c( 4 − 2 x 2 ) (a) Find the area of the region in the first quadrant bounded by the x-axis and the graph of y = cx 4 − x 2 Each spinning toy is in the shape of the solid generated when such a region is The figure above shows the region in the first quadrant bounded by the x-axis and the graph of A company designs spinning toys using the family of functions y = cx 4 − x 2, where c is a positiveĬonstant.Write your solution to each part in the space provided for that part. Write your responses to this question only on the designated pages in the separate Free Responseīooklet. (d) Find the total distance traveled by particle P over the time interval 0 £ t £p. Is the speed of particle Q increasing or decreasing at (c) Find the acceleration of particle Q at time t = 1. (b) Are particles P and Q moving toward each other or away from each other at time t = 1? Explain your (a) Find the positions of particles P and Q at time t = 1. At time t = 0, particle Q is at position x = 10. The velocity of particle Q at time t is given by vQ ( ) t = ( −t 1) ◊ 1 0 £ t £ p. At time t = 0, particle P is at position x = 5.Ī second particle, Q, also moves along the x-axis. The velocity of particle P at time t is given by v P ( ) t = sin (t 1)įor 0 £ t £ p. ![]() A particle, P, is moving along the x-axis. CALCULUS AB SECTION II, Part AĪ GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. Visit College Board on the web: collegeboard.ĪP Central is the official online home for the AP Program: llegeboard. College Board, Advanced Placement, AP, AP Central, and the acorn logo are registered Civilization and its Discontents (Sigmund Freud).Principles of Environmental Science (William P.Give Me Liberty!: an American History (Eric Foner).The Methodology of the Social Sciences (Max Weber).Interpersonal Communication (Kory Floyd).Bursten Catherine Murphy Patrick Woodward) Chemistry: The Central Science (Theodore E.Business Law: Text and Cases (Kenneth W.Brunner and Suddarth's Textbook of Medical-Surgical Nursing (Janice L. ![]()
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