AP Calculus AB AP Exam Review Free Response 3 This Question is \"CALCULATOR INACTIVE\" Please show all work on page 2 & 3 The function g is defined and differentiable on the closed interval [6, 6] and satisfies g(0) = 4. The graph of y = g' (x) . the derivative of g, consists of a semicircle and three line segments, as shown in the gure below. (a) Find g(5) and g(- 4). (b) Find the x-coordinate of each point of inflection of the graph y = g(x) on the interval 6 6 f0r0$t$6 (a) Is R continuous at t = 6? Show the work that leads to your answer. (b) Find the average rate at which water is draining from the pool between t= 0 and t=10 hours. (0) Find R' (4). Using correct units. explain the meaning of that value in the context of the problem. (d) Write, but do not solve, an equation involving an integral to nd the time S when the amount of water in the pool is 12,000 liters. AP Calculus AB AP Exam Review Free Response 8 This Question is \"CALCULATOR ACTIVE\" Please show all work on page 2 & 3 Let R be the region in the rst quadrant bounded by the graphs of y=m and y='. (a) Find the area of R. (b) Find the volume of the solid generated when R is revolved about the vertical line x = 2. (c) The region R is the base of a solid. For this solid, the cross sections perpendicular to the y-axis are rectangles with height twice as high as the base (width) of the rectangles. Find the volume of this solid. AP Calculus AB AP Exam Review Free Response 9 This Question is \"CALCULATOR INACTIVE'"ll Please show all work on page 2 8: 3 Consider the differential equation % = i . (a) On the axis provided, sketch a slope eld for the given differential equation at the twelve points indicated. (b) Let y = f (x) be the particular solution to the differential equation with the initial condition f (2) = 1 . Write an equation for the line tangent to the graph of f at (2,-1) and use it to approximate f (2.1). (c) Find the particular solution y =f(x) to the given differential equation with initial condition f (2) = - 1