Download JNTUK B.Pharm 1-1 2020 Feb PHR16112 I Remedial Mathematics I Question Paper

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Code No: PHR16112 SET -1

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I B. Pharmacy I Semester Supplementary Examinations, February - 2020

REMEDIAL MATHEMATICS-I

Time: 3 hours Max. Marks: 70

Note: 1. Question paper consists of two parts (Part-A and Part-B)

2. Answering the questions in Part-A is Compulsory

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3. Answer any FOUR Questions from Part-B

PART -A

1. a) Find the value of P, M)
   b) Write the value of sinh(A-B) (2M)
   c) Find the distance between the points (1, 2), (-5, 7) (2M)
   

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   d) Find Lt (2M)
      x?3 (x-9)
   e) Evaluate ? 1/x dx (2M)
   f) Find the Laplace transform of s (2M)
   g) Find the order and degree of the DE (y”)² +3y' +2y =sinx (2M)

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PART -B

2. a) Find ‘x “if | x+1   x+2   x+4 |
                           | x+3   x+5   x+8 | = -2 (7M)
                           | x+7   x+10  x+14 |
   b) Resolve 1/((x-1)(x+2)) into partial fractions (7M)

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3. a) If cosec ? + cot ? = p, then show that (p²+1) cos ? = p² -1 (7M)
   b) A flag staff stands upon the top of a building at distance 40m,the angles of (7M)
   elevation of the top of the flagstaff and building are 60° and 30° .Find the length
   of the flag-staff.
4. a) Find the foot of the perpendicular drawn from (4, 1) upon the straight line. (7M)
   

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      3x -4y +12 =0.
   b) Find the equation of the locus of P if A=(4,0),B=(-4,0)and |PA-PB|=4 (7M)
5. a) Using fundamental theorem find the derivative of sec²x. (7M)
   b) Find the derivate of Tan^-1 [ v(1-x²)/x ] (7M)
6. a) Evaluate ? v(2x-1) / (2x + 3) dx (7M)
   

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   b) Find the area of the triangle with the vertices ( -4 ,0),(2, 0) & (2,6) (7M)
7. Solve the D.E x dy/dx - y = x⁴ (7M)
8. Form the D.E. of family of circles whose centers lies on y-axis and of constant (7M)
   radius.

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