Download OU B.Pharma 1st Year 2016 4035 Mathematics Question Paper

Code No. 4035

FACULTY

B. Pharmacy I Year (Suppl.) Examination, November 2016

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Subject: Mathematics

Time: 3 Hrs

Max. Marks: 70

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

1. 1. Find x from the equation a^2x = b^3x+1.

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   2. If sin ? = 3/5 and ? is acute, Find the value of 2 Tan ? + 3 sec ? + 4 sec ?. cosec ? = 163/12

      OR

   3. Find the value of log₈ 128.
   4. If cot ? = 5/2 and ? is acute show that (5 cos ? + sin ?) / (5 cos ? - 2 sin ?) = 29/21

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2. 1. Use first principles to find the sin x derivative.
   2. Find the maxima and minima of the function f(x)=3x³ - 9x² - 27x + 30

      OR

   3. If u = Tan^-1((x³ + y³) / (x + y)), show that x (?u/?x) + y (?u/?y) = sin 2u
   4. If z = 3x² - 2xy + 7y². Find ?z/?x and ?z/?y.

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3. 1. Find ? 1/(1+cot x) dx
   2. Evaluate ? cos³x sin x dx

      OR

   3. Evaluate ? (sin 2x) / (1 + sin⁴ x) dx

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   4. Find the area between the cubic y = x³ and parabola of y = 4x²
4. 1. Find the values of the determinant
      | 1     1     1 |
      | a     b     c |
      

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      | b+c   c+a   a+b |
   2. Solve the system of equations x + y + z = 1, 2x + 2y + 3z = 6, x+4y+9z = 3, by matrix "Inversion” method.

      OR

   3. Find the value of x if
      | 1     2     x+3 |
      

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      | 1     x²     3 | = 0
      | x+1     2     3 |
   4. If A = | cos a   sin a |
      | sin a   cos a | show that A. A^T = A^T.A=I.

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5. 1. Write about Linear and Non Linear graphs.

      OR

   2. Find the equation of circle passing through the points (1, 1), (2, 1), (3, 2).

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