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:

3. The Pedal equation is
4. 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……