Differential Calculus and Differential Equation 2016 – BSc Computer Science Part 1
Paper code: 13502
1502
B.sc. (Computer Science) (Part 1)
Examination, 2016
Paper No. 1.2
DIFFERENTIAL CALCULUS AND DIFFERENTIAL EQUATION
Time: Three Hours] [Maximum Marks: 50
Note:Attempt five questions in all selecting one question from each Section. All questions carry equal marks.
Section-A
1. (a) If , prove that:
(b) If
Show that:
and .
2. (a) State and prove Maclaurin’s theorem.
(b) Expend in powers of .
3. (a) If:
prove that:
(b) Evaluate:
4. For the cardoid , prove that:
- The Pedal equation is
- The Polar sub tangent
Section-B
5. (a) Solve:
(b) Solve it:
6. (a) Solve:
Given when .
(b) Solve:
7. (a) Solve:
(b) Solve:
8. (a) Solve:
Section-C
9. (a) Evaluate:
(b) Evaluate:
10. (a) Evaluate by summation.
(b) Evaluate .
……End……