Barrons AP Calculus - David Bock

68. 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

69. If f (u) = tan−1 u^2 and g(u) = eu, then the derivative of f (g (u)) is
    (A)
    (B)
    (C)
    (D)
    (E)


70. If sin (xy) = y, then equals
    (A) sec (xy)
    (B) y cos (xy) − 1
    (C)
    (D)
    (E) cos (xy)


71. 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)


72. 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