- The volume, in cubic feet, of an “inner tube” with inner diameter 4 ft and outer diameter 8 ft is
(A) 4π^2
(B) 12π^2
(C) 8π^2
(D) 24π^2
(E) 6π^2
CHALLENGE
- If f (u) = tan−1 u^2 and g(u) = eu, then the derivative of f (g (u)) is
(A)
(B)
(C)
(D)
(E) - If sin (xy) = y, then equals
(A) sec (xy)
(B) y cos (xy) − 1
(C)
(D)
(E) cos (xy) - Let x > 0. Suppose
(A) f (x^4 )
(B) f (x^2 )
(C) 2 xg(x^2 )
(D)
(E) 2 g(x^2 ) + 4x^2 f (x) - The region bounded by y = ex, y = 1, and x = 2 is rotated about the x-axis. The volume of the
solid generated is given by the integral