b. Let f(x) = , find f(t) dt .
a. Find the interval I of convergence of the series.
5. (10%) Evaluate the triple integral
where D = {(x, y, z) | 0 ≤ x ≤ 1, 0 ≤ y ≤ x, 0 ≤ z ≤ x + y}.
4. Set f(x, y) = x2 + 2y2. Which of the following must be true? (A) f(x, y) is concave upward on the line $y = -x (B) the relative minimum of f(x, y) subject to the constraint x + y = 1 is (C) the absolute minimum of f(x, y) on its domain does not exist (D) the minimum rate of change of f(x, y) at the point P(1, -1) is
3. Which of the following must be true? (A) The series converges for all p≠0$ (B) The series converges absolutely (C) The series converges (D) The series diverges
2. Which of the following must be true? (A) (B) (C) (D)