|
|
|
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) 
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