Download SGBAU B-Pharma 2019 Summer 2nd Sem Sem II Mathematics Old Question Paper

FirstRanker.com

B.Pharm. Second Semester (Old)

35148 : Mathematics : 2.6

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

Pages : 3

Max. Marks : 60

Time : Three Hours

Notes:

1. All questions carry equal marks.

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

2. Answer any five questions from given 7 questions.
3. Use of slide rule logarithmic tables, Steam tables, Moller's Chart, Drawing instrument, Thermodynamic table for moist air, Psychrometric Charts and Refrigeration charts is permitted. Use of calculator is permissible.
4. Use of pen Blue/Black ink/refill only for writing the answer book.

1. Attempt any three of following.
   1. Prove that sec² ?(1 — sin² ?) — 2tan²? = 1
   2. Area of circular sector of radius 12cm is 43.2 sq. cm find it's perimeter.

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

   3. Evaluate lim _x?0 (e^x - 1 - x) / x
   4. Evaluate lim _x?p/2 (sin x - 1) / (p - 2x)²
2. A) Evaluate any two of following.
   1. Find d/dx if y = x⁴ + 3^x + x³ + 33
   2. Find dy/dx if y = (sin x)^logx

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

   3. Find dy/dx if x = acos³?, y = asin³?
   B) Attempt any one of following.
   1. If f(x) = (1 - cos Kx) / x when x ? 0 = 1/2 when x = 0 is continuous at x = 0 then find K.
   2. Examine the function for maxima & minima where f(x) = x³ - 6x² + 12x - 8.
3. Evaluate any three of following.
   1. If f(x) = (vx + 9 - 5) / (x - 4) for x = 4 = 2/40 for x = 4 is continuous or discontinuous at x = 4 check.

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

   2. Find derivative of e^x by first principle w.r.t x.
   3. y = sinvx find dy/dx
   4. Evaluate ? e^4xdx / (e^4x + 5)
4. Evaluate any two of following.
   1. Evaluate ?₀^p/2 dx / (1 + tanx)

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

   2. Find area of circle x² + y² = a² using definite integration.
   3. Solve the D. E. dy/dx = (x - e^x) / (y + e^y)
5. A) Attempt any two of following.
   1. Form the differential equation by removing arbitrary constants from y = Ae^x + Be^x
   2. Three coins are tossed simultaneously find probability that of getting
      1. at most two tails.

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

      2. at least two tails.
   3. If P(A) = 1/4, P(B') = 1/3 find P(AnB) when A & B are independent events.
   B) Evaluate any one of following.
   1. If P(A) = 0.7, P(B) = 0.7, P(A/B) = 1 find P(A/B) & P(AUB).
   2. If A & B are any two events from sample space S then prove that
      1. P(AUB) = P(A) + P(B) - P(AnB)

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

      2. P(A) + P(A') = 1 where A & A’ are complements of each other.
6. Write short notes on :
   1. Bar diagram.
   2. Pie diagram.

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

   B) Attempt any one of following.
   1. Find mean, S. D. & coeff. of variation from data.

      Class	0-10	10-20	20-30	30-40	40-50
      Frequency	8	15	22	15	8

   2. Find mean, mode & median from data.

      Class	0-10	10-20	20-30	30-40	40-50	50-60
      Frequency	5	10	20	9	6	2

7. Attempt any one of following.
   1. Calculate the coeff. of correlation between X & Y from the following data.

      X	12	9	8	10	11	13	7
      Y	14	8	6	9	11	12	3

   2. Find standard error S_y i.e. error of estimation on y from following data.

      X	54	58	52	46	49	51	57	53	40	50
      Y	34	36	40	50	52	48	46	44	56	64

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

FirstRanker.com