Differential Calculus and Differential Equation 2018 – BSc Computer Science Part 1

Paper code: 13502
1502
B.Sc. (Computer Science) (Part 1)
Examination, 2018
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) Find nth differential coefficient of :

    (b) If , find the values of .

2. (a) Expand in power of (x-2).

    (b) State and prove Maclaurin’s theorem.

3. (a) Evaluate :

    (b) Find the angle between the radius vector and tangent for the curve :

at point

4. (a) Find the length of polar subtangent of the parabola :

(b) Evaluate :

Section-B

5. (a) Evaluate :

    (b) Evaluate by summation.

6. (a) Evaluate :

    (b) Evaluate :

7. (a) Solve :

    (b) Solve the following :

Section-C

8. (a) Solve:

    (b) Evaluate the following :

9. (a) Solve :

      (b) Solve :

10. (a) Solve :

      (b) Solve :

……End……

Thank you!