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

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[LC 806] APRIL 2013 Sub. Code: 3806

PHARM. D DEGREE EXAMS

FIRST YEAR

PAPER VI - REMEDIAL MATHEMATICS

O0.P. Code : 383806

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Time : 3 hours Maximum : 100 marks

I. Elaborate on : (2x20=40)

1. If A=
   

   -1	4
   1	2	3

   B=

   -4	1
   0	3

   
   Verify that (A+B)' = A' + B'!

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2. Let P(at², 2at) and Q(a/t² , -2a/t) and S(a,0) be any three points, show that
   1 / SP + 1 / SQ is same for all values of 't'.

II. Write notes on : (10x6=60)

1. Find the Determinants A=

   -1

   2

   3

2. Show that (0, -1), (2,1), (0,3) and (-2,1) are the vertices of a square.

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3. Find the value of [ sin (a+ß) ] ,given that tana =2 tanß
   Sin (a+ß)
4. Evaluate :
   (i) sin78° cos18°-cos78° sin18°
   (ii) cos48° cos12° - sin48° sin12°

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5. Differentiate (log x )^x using logarithmic differentiation.
6. Differentiate Y= (x+1) (2x+3)
7. Integrate ? x e^x dx
8. Solve: sinx cosy dy + cosx siny dx =0
9. Find laplace transform: sinat cosßt.

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10. Solve (D² - 13D +12)y = e^x