Download OU B.Pharma 1st Year 2013 7204 Mathematics Question Paper

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Code No. 7204

FACULTY OF PHARMACY

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B. Pharmacy I Year (Suppl.) Examination, November 2013

Subject: Mathematics

Max.Marks: 70

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

Prove that 1 + 1 + 1 =1.

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1+log_bc 1+log_ca 1+log_ab

If sin a = L; sin ß = i and a, ß are acute angles then show that a+ = %.

OR

Find the value of xyz if log_x/_y-z = log_y/_z-x = log_z/_x-y

Prove that 1/cos²90° + v3.sin250° = 4/v3

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Find the maximum and minimum values of f(x) = x³ + 1/x

If xy = ae^x + bc^m then prove that xy”+2y’-xy =0.

OR

If z=log (X²+y²), verify that ?²z/?x?y = ?²z/?y?x

Prove that x³ — 3x² + 3x + 7 has neither maximum nor minima.

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Evaluate ? v(1+x³) dx

Evaluate ? x sin^-1x / v(1-x²) dx.

Evaluate ? dx.

OR

Evaluate ? sin x cos x / (1+5sin²x) dx

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Evaluate ? 1/((x+2)(x-1)(3x-1)) dx.

Define rank of a matrix and hence find the rank of the matrix A = 1 & 2 & 3 & 4 \\ 2 & 3 & 4 & 5 \\ 3 & 4 & 5 & 6

Solve the system of equations. 2x-y+8z=13; 3x+4y+5z = 18 and 5x-2y+7z = 20 by matrix inversion method.

OR

Solve the system of equations x+2y+3z = 4; 2x+3y+5z = 5; 3x+4y+6z = 12 by Gaussian elimination method.

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If A= 1 & 2 & 3 \\ 3 & 4 & 2 \\ 3 & 4 & 5 and B= 1 & 2 & 0 \\ 2 & 3 & 2 \\ 1 & 1 & 2 then find (AB)^T.

Define linear and non-linear graphs with an example.

Find foci, latus rectum eccentricity, from y²+2y+3x+4 = 0.

OR

Derive the equation y = mx + c and explain the importance m and c.

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Find the radius and centre of the circle x²+y²-4x+6y+4 = 0.

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