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AP Calculus AB Question 2 and Answers

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Questions and Worked Solutions for AP Calculus AB and BC 2014.

AP Calculus AB 2014 Free Response Questions - Complete Paper (pdf)

AP Calculus AB 2014 Free Response Question 2

2. Let R be the region enclosed by the graph of f(x) = x4 - 2.3x3 + 4 and the horizontal line y = 4, as shown in the figure above.
(a) Find the volume of the solid generated when R is rotated about the horizontal line y = -2.
(b) Region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is an isosceles right triangle with a leg in R. Find the volume of the solid.
(c) The vertical line x = k divides R into two regions with equal areas. Write, but do not solve, an equation involving integral expressions whose solution gives the value k.

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