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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)
- If A=
-1 4 1 2 3 -4 1 0 3
Verify that (A+B)' = A' + B'! - 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'.
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II. Write notes on : (10x6=60)
- Find the Determinants A=
-1 2 3 - Show that (0, -1), (2,1), (0,3) and (-2,1) are the vertices of a square.
- Find the value of [ sin (a+ß) ] ,given that tana =2 tanß
Sin (a+ß) - Evaluate :
(i) sin78° cos18°-cos78° sin18°
(ii) cos48° cos12° - sin48° sin12° - Differentiate (log x )x using logarithmic differentiation.
- Differentiate Y= (x+1) (2x+3)
- Integrate ? x ex dx
- Solve: sinx cosy dy + cosx siny dx =0
- Find laplace transform: sinat cosßt.
- Solve (D2 - 13D +12)y = ex
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