(E) never
- If and y = 3 when x = 1, then
(A) x^2 + y^2 = 10
(B) y = x + ln3
(C) y^2 − x^2 = 8
(D) y = 3x
(E) y^2 − 3x^2 = 6
- A solid is cut out of a sphere of radius 2 by two parallel planes each 1 unit from the center. The
volume of this solid is
(A) 8π
(B)
(C)
(D)
(E)
- Which one of the following improper integrals converges?
(A)
(B)
(C)
(D)
(E) none of these
- Let f (x) = x^5 + 3x − 2, and let f −1 denote the inverse of f. Then (f −1) ′(2) equals
(A)
(B)
(C) 1
(D) 8
(E) 83
- Find the domain of the particular solution of = 1 + y^2 that passes through the origin.
