(D)
(E) none of these
- The curve with parametric equations x = tan θ, y = cos^2 θ, and the lines x = 0, x = 1, and y = 0;
about the x-axis.
(A)
(B)
(C)
(D)
(E)
BC ONLY
- A sphere of radius r is divided into two parts by a plane at distance h (0 < h < r) from the
center. The volume of the smaller part equals
(A)
(B)
(C)
(D)
(E) none of these
CHALLENGE
- If the curves of f (x) and g(x) intersect for x = a and x = b and if f (x) > g(x) > 0 for all x on (a,
b), then the volume obtained when the region bounded by the curves is rotated about the x-axis is
equal to
(A)
(B)
(C)
