Download PTU B.Pharma 2020 Dec 3rd Sem 46221 Pharmaceutical Mathematics Question Paper

Total No. of Pages : 03

(Sem.-3)

PHARMACEUTICAL MATHEMATICS

--- Content provided by FirstRanker.com ---

Subject Code : BPHM-301

M.Code: 46221

Max. Marks : 80

INSTRUCTIONS TO CANDIDATES :

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

--- Content provided by​ FirstRanker.com ---

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

Solve the following :

1. Define singular matrix and show that A = 14 3 6 8 is a singular matrix.

--- Content provided by‍ FirstRanker.com ---

2. Without expanding show that the value of determinant is zero 1 3 5 2 6 10 31 11 38
3. Find X and Y if X + Y = 3 0 2 5 and X - Y = 1 0 0 3
4. Find the length of an arc of a circle of radius 5 cm subtending a central angle measuring 15°.
5. Prove sin A + sin 3 A cos A + cos 3 A = tan 2A.
6. Find the differential coefficient of 6x + 1 w.r.t x by using first Principle.

--- Content provided by⁠ FirstRanker.com ---

7. Differentiate the function (x + a)^m(x + b)ⁿ.
8. Integrate the function x 2 + 3 x + 4 x dx
9. Evaluate ? 1 x ( 1 + x ) n d x
10. The mean of 100 students were found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.
11. For a set of 10 observations, mean = 5, S.D = 2 and C.V = 60%. Comment.

--- Content provided by⁠ FirstRanker.com ---

12. Is there any fallacy in the statement? The mean of a Binomial Distribution is 20 and its standard deviation is 7.
13. Write relation between mean, median and mode.
14. Calculate the standard deviation of first 7 natural numbers.
15. During war 1 ship out of 9 was sunk on an average in making a certain voyage. What was the probability that exactly 3 out of a convoy of 6 ships would arrive safely?

SECTION-B

--- Content provided by⁠ FirstRanker.com ---

16. If A = 2 1 3 4 , B = 1 7 6 4, C = 0 2 4 3 verify (AB)C = A(BC)
17. Prove tan^-1(1/3) + tan^-1(1/7) = p/4
18. Calculate the mean and standard deviation for the following distribution :

    Marks :	20-30	30-40	40-50	50-60	60-70	70-80	80-90
    No of students :	3	6	13	15	5	4	1

19. Find dy/dx for the function in parametric form x= 3 a t 1 + t 3 , y = 3 a t 2 1 + t 3
20. If y = a cos (log x) + b sin (log x) then show that x²d 2 y d x 2 + x d y d x + y = 0.

--- Content provided by‌ FirstRanker.com ---

SECTION-C

21. Using Cramer's rule solve the following system of equations :

    x - y + 3z = 6

    x + 3y - 3z = -4

    5x + 3y + 3z = 10

--- Content provided by⁠ FirstRanker.com ---

22. In an examination taken by 500 candidates the average and standard deviation of marks obtained (normally distributed) are 40% and 10%. Find approximate
    1. How many will pass if 50% is fixed as a minimum?
    2. What should be minimum if 350 candidates are to pass?
    3. How many have scored above 60%?

    (Given P (0 = Z < 1) = 0.3415, P (0 = Z = 2) = 0.4772, P (0.2) = 0.53)

--- Content provided by‌ FirstRanker.com ---

23. a) Evaluate ?e^x sin xdx b) Evaluate ?3 x + 1 ( x - 2 ) ( x + 2 )dx
24. a) Differentiate log (x+v(1+x²)). b) Prove that cos 20°cos 40° cos 60° cos 80° = 1/16

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.

For more visit: FirstRanker.com

--- Content provided by​ FirstRanker.com ---