MATH 1005A Test 2 Solutions
February 13, 2009 [Marks] [3] Questions 1-5 are multiple choice. Circle the correct answer. Only the answer will be marked. 1. Two independent solutions of 2y 00 + 5y 0 3y = 0 are given by p p 5+ 37 5 37 x (a) y1 = ex=2 ; y2 =
CARLETON UNIVERSITY
FINAL EXAMINATION APRIL 2007 DURATION: 3 HOURS Department Name and Course Number: Mathematics and Statistics, MATH 1005 Course Instructor(s): Dr. A. Alaca, Dr. S. Melkonian, Dr. R. Krechetnikov
AUTHORIZED MEMORANDA
Non-programmable, no
CARLETON UNIVERSITY
FINAL EXAMINATION December 2008 DURATION: 3 HOURS Department Name and Course Number: Mathematics and Statistics, MATH 1005F Course Instructor: Dr. A. Alaca PART I: Multiple Choice Questions. No partial marks. Circle the correct answer.
MATH 1005A Test 3 Solutions
March 6, 2009 [Marks] [3] Questions 1-5 are multiple choice. Circle the correct answer. Only the answer will be marked. 1. lim [ln(n)]2 = n!1 n (b) 1 (c) 1 (d) 1 2 (e) Does not exist
(a) 0
Solution: (a) [3] 2. The sequence frn
MATH 1005A Test 4 Solutions
March 20, 2009 [Marks] [3] Questions 1-5 are multiple choice. Circle the correct answer. Only the answer will be marked.
1 X (1)n1 p 1. The series n+1 n=1
(a) Converges absolutely Solution: (b) [3] 2. The series
1 X (1)n n3 n=0
MATH 1005B Test 1 Solutions
January 28, 2008 [Marks] [5] 1. Solve the initial-value problem 2y 0 = sin(x) ; y (0) = 1. y
[5]
2. Find the general solution of y 0 + y =
Solution: p The equation is separable. 2yy 0 = sin(x) ) y 2 = cos(x) + c ) y = c cos(x):