Download PTU B.Sc Agriculture 2019 May 2nd Semester 72360 MATHEMATICS II Question Paper

Total No. of Pages : 02

Total No. of Questions : 09

B.Sc.(Agriculture) (2014 & Onwards) (Sem.-2)

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MATHEMATICS – II

Subject Code : BSAG-205A

M.Code : 72360

Time: 3 Hrs.

Max. Marks : 60

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INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.

SECTION-A

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Q1. Write briefly :

1. Define Horizontal asymptotes.
2. Find: lim 2 n + 1 3 n + 1 as n?8
3. Find the first derivative of (5x + 2) (4x + 3).
4. Define continuity.

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5. Discuss the continuity of sine function.
6. Define Improper fraction.
7. Integrate ?tanx w.r.t. x
8. Evalute : ?xsinxdx
9. Evalute: ?xcos2x dx.

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10. Evaluate : ?(x²+x)dx .

SECTION-B

Q2. Prove that the greatest integer function [x] is not differentiable at x = 1.

Q3. Give the Geometrical interpretation of the derivative.

Q4. Find the derivative of log[(x + 2) (x² + x)] w.r.t. x.

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Q5. Evaluate : ?ex cos x dx .

Q6. If f'(x) = x² + x² + 9, then find f (x).

SECTION-C

Q7. If y = a sin(log x) + b cos(log x), then prove that x²d²y/dx²+xdy/dx+y = 0.

Q8. Water is dripping out of the conical funnel, at the uniform rate of 2cc/sec through a tiny hole at the vertex of the funnel. When the slant height of water is 5cm, find the rate of decrease of the slant height of the water.

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Q9. Integrate by the method of partial fraction ?(2x-1/x²-x-6)dx.

NOTE : Disclosure of identity by writing mobile number or making passing request on any page of Answer sheet will lead to UMC case against the Student.

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