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!