Download OU B.Pharma 1st Year 2017 1063 Mathematics Question Paper

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Code No. 1063

FACULTY

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B. Pharmacy I - Year (Suppl.) Examination, November 2017

Subject: Mathematics

Time: 3 Hrs Max.Marks: 70

Note: Answer all questions. All questions carry equal marks.

1. a)
   1. Prove that 2log(5/7) + 3log(49/25) + 2log(2/7) = log(8/125)

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   2. If log_ab = u = log_c find the value of log_b(a²)
   OR b)
   1. If tan A = 2/3 and tan B = 1/5 find the value of A + B.
   2. Show that Sin A. Sin (60 + A) Sin (60 — A) = (1/4) Sin 3A.
2. a)
   1. Find the derivative of Sin x using first principle.

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   2. Find all points of maxima and minima of f(x) = 2x³ — 21x² + 36x - 20.
   OR b)
   1. If u=Sin^-1[(x²+y²)/(x+y)] show that x(?u/?x)+ y(?u/?y)=tan u.
   2. If y=ae^x+be^x find dy/dx and d²y/dx².
3. a)
   1. Evaluate ? (3x⁵+14x)/(x²+7) dx.

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   2. Evaluate ? dx/(4+5 Sinx)
   OR b)
   1. Evaluate ?(log x)/x dx.
   2. Evaluate ? dx/(25 - 16x²).
4. a) Show that

    | 1 a a2 | | 1 b b2 | = (a-b)(b-c)(c-a) | 1 c c2 | 

   b) If A=[2 0 3;6 2 1;3 1 4] find A^-1 OR Solve x +4y—2z=3, 3x +y + 5z =7, 2x + 3y + z =5 by gauss elimination method.

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5. a) Find the rank of matrix A=[2 1 3;3 2 1;4 5 5]
6. a) Define linear and non linear graphs with an example. b) Find the equation of the line passing through (1, 1) and perpendicular to 3x -4y =6. OR a) Find the centre and radius of the circle x² + y²+ 4x + 6y + 4 = 0. b) Show that the following points lie on a line and find its equation (5,5), (5, 1)and (10, 7):

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