Download Pharm D 1st Year 2010 March 383806 Remedial Mathematics Question Paper

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[KW 806] March 2010 Sub. Code: 3806

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DOCTOR OF PHARMACY (PHARM. D) DEGREE EXAMINATION

(Regulations 2008 - 2009)

(Candidates admitted from 2008-2009 onwards)

FIRST YEAR

Paper VI - REMEDIAL MATHEMATICS

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O.P. Code : 383806

Time : Three hours Maximum : 70 marks

Answer All questions

I. Essay Questions : (2X 20 =40)

1. a) Define matrix,
   

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   A=

   2	5	9
   6	1	3
   2	2	-3

   B=

   -2	-2	-4
   0	4	6
   1	3	5

   
   b) Show that
   

   a+b	b+c	c+a
   b+c	c+a	a+b
   c+a	a+b	b+c

   = 2

   a	b	c
   b	c	a
   c	a	b

2. a) If x^y + xy^x =25 verify
   
   dy/dx
   

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   - =1.
   dx/dy
   b) If y=x^x+xlogx, prove that, dy/dx =x^x (1+logx)x ^x(log x).

II. Write Short Notes : 6X5=30)

1. Give the methods for evaluation of limits.

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2. Define and explain about scalar matrix.
3. Find dy/dx of the function : x²+5x²y+yx⁵.
4. Draw graph of function Y=2x².
5. Define laplace transform and solve sin^-1(at).

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