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Questions and Worked Solutions for AP Calculus AB 2015.
AP Calculus AB 2015 Free Response Questions - Complete Paper (pdf)
AP Calculus AB 2015 Free Response Question 2
2. Let f and g be the functions defined by f(x) = 1+ x + ex2 - 2x
and g(x) = x4
+ 6x + 2. Let R and S
be the two regions enclosed by the graphs of f and g shown in the figure above.
(a) Find the sum of the areas of regions R and S.
(b) Region S is the base of a solid whose cross sections perpendicular to the x-axis are squares. Find the
volume of the solid.
(c) Let h be the vertical distance between the graphs of f and g in region S. Find the rate at which h changes
with respect to x when x = 1.8.
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