Download Pharm D 1st Year 2013 Oct 383806 Remedial Mathematics Question Paper

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[LD 806] OCTOBER 2013 Sub. Code: 3806

PHARM. D DEGREE EXAMS

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FIRST YEAR

PAPER VI - REMEDIAL MATHEMATICS

Q.P. Code : 383806

Time : 3 hours Maximum : 70 marks

I. Elaborate on : (2x20=40)

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1. Prove that
   1/a b+c
   1/b c+a =0.
   1/c a+b
2. Solve: _dy + a’y=secax.
   

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   dx2

II. Write notes on : (10x3=30)

1. If A=

   cos?	-sin?
   sin?	cos?

   and B=

   cos?	sin?
   -sin?	cos?

   Then show that | AB| = | A| |B|
2. Find the angle between the straight lines 3x =2y +9=0and 2x + y—9=0.
3. Find the equation of the circle passing through the points (0,1),(2,3) and (-2,5).

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4. Integrate:
   ? dz / (zlogz)
5. Prove that cos²A - sin4A =1 — 2 sin²A.
6. Evaluate:
   ?₀^b x e^x dx

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7. Write any two properties of definite integral?
8. Find the Laplace transform F (t) = sin² 3t.
9. Solve: (D² +4) y = x sinx.
10. Find the general solution of y = xp + a/p.

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