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Calculus Sample Paper for B.Sc Math First Year- Guess Paper Calculus B.Sc Mathematics 1st Year

 

TERM END EXAMINATIONS

BACHELOR OF SCIENCE (MATHEMATICS), YEAR-1

CALCULUS

 

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

 

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