PTU B-Pharma 3rd Semester May 2019 46221 PHARMACEUTICAL MATHEMATICS Question Paper

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Total No. of Pages : 03

Total No. of Questions : 10

B.Pharma (2011 to 2016) (Sem.-3)

PHARMACEUTICAL MATHEMATICS

Subject Code : BPHM-301

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M.Code : 46221

Time: 3 Hrs.

Max. Marks : 80

INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of FIFTEEN questions carrying TWO marks each.

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2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt ANY FOUR questions.
3. SECTION-C contains FOUR questions carrying TEN marks each and students have to attempt ANY THREE questions.

SECTION-A

1. Solve the following :
   1. If a matrix has 8 elements, what are the possible orders it can have?
   2. If A =

      1	0
      3	4

      find the value of 2A² + I where I is a unit matrix of order 2.

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   3. Find the value of determinant

      0	2	2
      2	1	1
      0	4	2

   4. If A is a square matrix of order 3 and |A| = 3 find the determinant value of 2A.
   5. Find dy/dx where y = x² cos 3x.
   6. Find the value of limit Lt _x->2 (x³-8)/(x-2)
   7. Evaluate the integral : ? (2x+5)³ dx

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   8. Evaluate the integral ? sin 2x sin 3x dx.
   9. Find the median of 5, 4, 1, 7, 3, 10, 15.
   10. Find the value of x if mean of 3, 4, x, 5, 1 is 4.
   11. Variance of a data containing 10 entries is 36, find its standard deviation.
   12. Write the formula for coefficient of variation.

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   13. Define Binomial distribution.
   14. Find the value of cos 75°
   15. Express 2 cos 4x sin 2x as an algebraic sum of sines or cosines.

SECTION-B

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2. Find the inverse of matrix A=

   2	1	2
   1	3	3

3. Differentiate x^sinx with respect to x.
4. Evaluate ? x² log x dx.
5. Prove that (1+sin ? - cos ?)/(1+sin ? + cos ?) = tan (?/2)
6. Find the median of the following distribution:

   Class interval	0-10	10-20	20-30	30-40	40-50
   Frequency	5	7	10	8	5

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SECTION-C

7. Solve the following by Cramer's rule :

   6x + y - 3z = 5

   x + 3y - 2z = 5

   2x + y + 4z = 8

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8. 1. Find dy/dx if x = 1 + sin t, y = t² + 1
   2. Evaluate the integral ? dx/((x+2)(x-3))
9. Calculate the standard deviation of the following data :

   X:	4	8	11	17	20	24	32
   F:	3	5	9	5	4	3	1

10. 1. Draw normal distribution curve and state any three properties of the curve.

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    2. Prove that cos 20° cos 40° cos 80° = 1/8

NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.

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