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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
+ 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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