August 2009
Bachelor of Science in Information Technology (BScIT) – Semester 1/
Diploma in Information Technology (DIT) – Semester 1
BT0063 – Mathematics for IT – 4 Credits
(Book ID: B0947)
Assignment Set – 1 (60 Marks)
Answer all questions 6 X 10 = 60 Marks
1. If A = {x / x2 – 5x + 6 = 0} B= {2, 4} C = {4, 5} then find (A – B) (B – C)
2. Show that r (~r ~s) is neither a tautology nor a contradiction
3. Verify that the set Zn = {….., –3, –2, –1, 0, 1, 2, 3, ……} under the binary operation addition is an Abelian group.
4. Prove that .
5. Find the derivative of sin2x from first principles.
6. Integrate x.log(1 + x) with respect to x.
August 2009
Bachelor of Science in Information Technology (BScIT) – Semester 1/
Diploma in Information Technology (DIT) – Semester 1
BT0063 – Mathematics for IT – 4 Credits
(Book ID: B0947)
Assignment Set – 2 (60 Marks)
Answer all questions 6 X 10 = 60 Marks
Bachelor of Science in Information Technology (BScIT) – Semester 1/
Diploma in Information Technology (DIT) – Semester 1
BT0063 – Mathematics for IT – 4 Credits
(Book ID: B0947)
Assignment Set – 2 (60 Marks)
Answer all questions 6 X 10 = 60 Marks
1. Solve the system of equations 3x + y + 2z = 3
2x – 3y – z = – 3
x + 2y + z = 4
2. Sum the series
3. A bag contains 3 red, 4 green and 3 yellow marbles. Three marbles are randomly drawn from the bag. What is the probability that they are of (i) the same colour (ii) different colours(one of each colour).
4. Find the standard deviation for the following data
x 12 13 14 15 16 17 18 19
f 1 0 4 12 20 15 6 2
5. If A = {x / xN and x < b =" {x/x2–" 16 =" 0">
6. Prove that the negation of the disjunction of two propositions is logically equivalent to the conjunction of their negation.
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