ap-calculus-ab 2006 Q3

ap-calculus-ab · USA · free-response_formB Volumes of Revolution Multi-Part Free Response with Area, Volume, and Additional Calculus

Let $f ( x ) = \cos x$ and $g ( x ) = x ^ { 2 } - 1$. (a) Find the coordinates of any points of intersection of $f$ and $g$. (b) Find the area bounded by $f$ and $g$. (c) Find the volume generated when the region in part (b) is rotated around the $y$-axis.

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Let $f ( x ) = \cos x$ and $g ( x ) = x ^ { 2 } - 1$.
(a) Find the coordinates of any points of intersection of $f$ and $g$.
(b) Find the area bounded by $f$ and $g$.
(c) Find the volume generated when the region in part (b) is rotated around the $y$-axis.

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6