Sample Paper for BA Mathematics

TERM END EXAMINATIONS

BACHELOR OF ARTS ADDITIONAL (MATHEMATICS), YEAR-1

CALCULUS

Time: 3 hours                                                                                                  M.Marks:60

Note: – Attempt any 5 questions.

All questions carry equal marks.

Q1.      Show that these evolutes 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

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We are just trying help by providing the possibilities, we do not ensure that same or similar type of question will come in your examination , it depends on your university. For better preparation of your mathematics examination we suggest you to go properly with your BA Mathematics Syllabus of Calculus.

Good Luck for you coming BA Calculus Mathematics.