Differential Calculus and Differential Equation 2017 – BSc Computer Science Part 1
Paper code: 13502
1502
B.sc. (Computer Science) (Part 1)
Examination, 2017
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 coefiicient of .
(b) If and , show that :
2. (a) If , prove that :
(b) State and prove Taylor’s theorem.
3. (a) Evaluate :
(b) Show that the Pedal equation of the ellipse is:
4. (a) Show that the locus of the extremily of the polar subnormal of the curve is .
(b) Find the polar sub-tangent of the ellipse :
Section-B
5. (a) Solve the following :
(b) Solve the following :
6. (a) Solve the following :
(b) Solve the following :
7. (a) Solve the following :
(b) Solve the following :
Section-C
8. (a) Solve:
(b) Evaluate the following :
9. (a) Evaluate the following :
(b) Evaluate as the limit of a sum.
10. (a) Find the indefinite integral :
(b) Evaluate the following :
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