Download Pharm D 1st Year 2019 May 383806 Remedial Mathematics Question Paper

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[LO 806] MAY 2019 Sub. Code: 3806

PHARM. D DEGREE EXAMINATION

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(2009-2010 Regulation)

FIRST YEAR

PAPER VI - REMEDIAL MATHEMATICS

O.P. Code : 383806

Time : Three hours Maximum : 70 Marks

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I. Elaborate on: (4 x 10 =40)

1. Find A^-1, if A=
   

   1	1	1
   1	1	-1
   1	-1	0

2. If cos a = ³/₅ and cos ß = ¹²/₁₃ where a lies in the second quadrant and ß lies in the fourth quadrant. Find the values of: (i) cos(a + ß) (ii) sin (a + ß) (iii) tan(a + ß).

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3. Let P(at², 2at), Q(at², -2at) and S(a, 0) be any three points, show that (SP/SQ) = (t+1)/(t-1) is same for all values of t.

4. Integrate ? dx / (x² +5x+6)

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II. Write notes on: (6x5=30)

1. If A=
   

   1	-6
   8	38

   and B=
   

   5	15
   6	17

   then find 7A+5B.

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2. Prove that tan² ? – sin² ? = tan² ? sin² ?.

3. Prove that (1, 2) (1, 5) and (4, 2) are the vertices of a right angled isosceles triangle.

4. Evaluate ? x³ e^x dx.

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5. Differentiate: (i) 2x⁴ +3x^-2 +5e^x (ii) 3^x – cot x+2.

6. Solve the differential equation e^xdx + e^ydy =0.

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