TERM END EXAMINATIONS
BACHELOR OF SCIENCE (MATHEMATICS), YEAR-1
Time: 3 hours M.Marks:60
Note: – Attempt any 5 questions.
All questions carry equal marks.
Q1. Show that these evolute of these parabola x2 = 4ay is 4(y-2a) 3 = 27 ax2
Q2. Find these asymptotes of these curve x3+2x2y – xy2- 2y3+4y2 +2xy y–1 =0
Q3. Find the coefficients of xn in the expansion of ea+bx
Q4. Find these envelope of x cos3 a + y sin3 a = a where A is these parameter.
Q5. Obtain a fourier expansion for ex in these interval –x<x<?
Q6. Find the radius of curvature of these curve xy2 = a3 – x3 at these point (a, 0).
Q7. Find the sum of first r coefficients of (1- x)-3
Note: – The above sample/guess paper of B.Sc.Mathematics has been prepared to help students of B.Sc Mathematics preparing for Calculus. Above sample/guess paper is just an example of a question paper which is likely to come. But we recommend students to go through their syllabus and best prepare themselves.
All the Best