Download Pharm D 1st Year 2011 Oct Remedial Mathematics Question Paper

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October 2011

[KZ 806] Sub. Code: 3806

DOCTOR OF PHARMACY (PHARM. D) DEGREE EXAMINATION

FIRST YEAR

PAPER VI - REMEDIAL MATHEMATICS

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O.P. Code : 383806

Time : 3 hours Maximum : 100 marks

(180 Min)

Answer ALL questions in the same order.

I. Elaborate on : Pages Time Marks

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(Max.) (Max.) (Max.)

1. Find the inverse of |1 -1 2 300 4 17 40 20 1 2 5
2. Solve the differential equation 17 40 20 (D²— 4D +4) y= 8 ( x²+ e^2x+sin2x)

II. Write notes on:

1. If A=
   

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   |2 2 4
   -1 3 4
   1 2 0|
   Show that A= A. 4 10 6
2. Define i) Square matrix, (ii) Diagonal matrix, (iii) Transpose matrix. 4 10 6

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3. Prove that tan^-13A — tan^-19A — tan^-14A = tan^-13A tan^-19A tan^-14A 4 10 6
4. Find the distance between the points, (acosa, asin a) and ( acosß, asinß) 4 10 6
5. Differentiate : (x+3)(x-2) / (x-1) (x-3) 4 10 6
6. Integrate: ? logx dx 4 10 6
7. Solve: (D²+D+1) y=0 4 10 6

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8. Find laplace transform 4 10 6 F(t) = e^t+ t² — 2sin3t +3cos2t
9. Evaluate : ?₁² (x²- 3x+1)dx 4 10 6
10. Solve (D²+6D+9)y=0 4 10 6

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