Code No. 6035 / S
FACULTY OF PHARMACY
B. Pharmacy I – Year (Supplementary) Examination, November 2015
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Subject: Mathematics
Time: 3 Hours Max.Marks: 70
Note: Answer All questions. All questions carry equal marks.
- a) If log x = log 3 + 2 log 4 - (3/4) log 16, then find the value of x.
- b) If cos ? = 5/13 ; 0 < ? = p/2, then find the value of (cos ? + 5 cot ?) / (cosec ? - cos ?).
- c) If 0 = ? = p/2 be such that tan ? = 5/12 then find (sin ? + cos ? - cot ?) / (cosec ? - sec ? + tan ?).
- d) If a = log23, b = log34 and c = log89 then show that abc = 1.
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- a) Find ? [sin (x – a)] / [xa x5-a] dx.
- b) If u = x2y2, x = log t, y = et then find du/dt in terms of t.
- c) If u = sin-1 [(x/vy) + (vy/x)], then prove that x du/dx + y du/dy = (1/2) tan u.
- d) Find ? [1 - cos ?] / [1 + cos ?] d?.
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- a) Find ? 1 / (2 + 3sinx) dx.
- b) Evaluate ? cos2x sin x dx.
- c) Evaluate ? tan x / (1+ cos2 x) dx.
- d) Show that the area of a loop of the curve x4 = a2 (x2 - y2) is 2a2/3.
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...2.
- a) Find the values of the determinant | 1+b+2c a b |
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| c b+c+2a b |
| c a c+a+2b | - b) Solve the system of equation's x+y+z = 1, x+2y+2z = 3, x+2y+3z = 4 by matrix inversion method.
- c) Find the value of x if | 2-x 3 3 |
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| 3 4-x 5 | = 0.
| 3 5 4-x | - d) Define symmetric and show symmetric matrix. If A = | 1 2 3 | and B = | 1 0 2 | find BA.
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