[LL 806] OCTOBER 2017 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)
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If A= and B=
Find (i) AB (ii) BA (iii) 3(A+B) and (iv) 3A+3B.
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If A and B be acute angles with cos A=5/13 and sin B=3/5. Find sin (A+B), sin (A-B), cos (A+B) and cos (A-B).
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Evaluate: ? x.sin 2x. dx.
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Find the equation of the straight line which passes through the point of intersection of the two lines 5x-6y-1= 0 and 3x+2y+5 = 0 and is perpendicular to the line 3x-5y+11=0.
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II. Write notes on: (6x5=30)
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Add the Matrix:
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Integrate: ? e-x sin x. dx
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Find: dy/dx = (3x2+4x-4) / (2y -4)
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Evaluate: (5 sin2 30 + cos3 45 + 4 tan2 60) / (2 sin 30 . cos2 45 + tan 45)
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Solve: d2y/dx2 +4dy/dx+4y=2e-x.
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Prove that cos4A-sin4A=2cos2A — 1.
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