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

2. Let R be the region enclosed by the graph of f(x) = x^{4} - 2.3x^{3} + 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.

More videos, activities and worksheets that are suitable for Calculus

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

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

2. Let R be the region enclosed by the graph of f(x) = x

(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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