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Questions and Worked Solutions for AP Calculus AB 2015.

2. Let f and g be the functions defined by f(x) = 1+ x + e^{x2 - 2x} and g(x) = x^{4} - 6.5x^{2} + 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.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More videos, activities and worksheets that are suitable for Calculus

Questions and Worked Solutions for AP Calculus AB 2015.

AP Calculus AB 2015 Free Response Questions - Complete Paper (pdf)

2. Let f and g be the functions defined by f(x) = 1+ x + e

(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.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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