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Guru Gobind Singh Indraprastha Vishwavidyalaya 2010 B.C.A Computer Application Maths internal 1 - Question Paper

Tuesday, 28 May 2013 02:00Web



Roll No.............................

ANSAL INSTITUTE OF TECHNOLOGY, GURGAON

INTERNAL TEST - II, December 2010

BCA 1st Semester

BCA-101: Mathematics

Time: 1 Hr

Max.marks: 10

Instructions: Attempt any five Questions. Each question carries 2 marks.

Ql. Find all asymptotes of the curve

3jc3 + 2x2y - Ixy2 + 2y3 - I4xy + ly1 + Ax + 5y = 0

Q2. Evaluate!-

(x + 1)V x + x +1

n

2

Q3. Evaluate J sin2x.logtanxdx .

o

7T

2

Q4. if Un = I xn sin xdx and n> 1 prove that

o

U+n(n- l)t/_2=i|l

2    _ I

Q5. Express f x4.(8 jc3) 3 dx in terms of (i) Beta Function (ii) Gamma Function.

o

Q6. Examine the curve y = x4 -2x3 +1 for concavity upwards, concavity downwards, and points of inflexion.







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