Remedial Mathematics

Course: B.Pharmacy Code: BP106 Branch: Pharmacy Year: UNKNOWN

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DEPARTMENT OF PHARMACY
BARKATULLAH UNIVERSITY BHOPAL
SUB: REMEDIAL MATHEMATICS
Ist SESSIONAL EXAM
SUB CODE
BP106
TIME 1 HR
M.M.30
Q.1 CHOOSE ONE ANSWER:
2X5=10
1.
If f(-x)=f(x) then function is
  1. even
  2. odd
  3. constant
  4. none of them
2.
If f(x)= log x then f(1/2) is;
  1. log 2
  2. log (-2)
  3. 2
  4. -log 2
3.
If $\lim_{x\to2} \frac{x^2-4}{x-2}$
  1. 4
  2. -4
  3. 2
  4. -2
4.
Range of function sin x is:
  1. [-1,1]
  2. (-1,1]
  3. [-1,1)
  4. (-1,1)
5.
If $\frac{2x+5}{(x-1)(x-2)} = \frac{A}{(x-1)} + \frac{B}{(x-2)}$ then the value of A and B is:
  1. -7,9
  2. -9,7
  3. 7,9
  4. 9,7
Q.2 ATTEMT ANY 4 QUESTIONS:
5X4=20
1.
Resolve into partial fraction $\frac{2x+1}{(x+2)(x-3)^2}$
2.
Prove that $\log 2 +2 \log 5 - \log 3 - 2 \log 7 = \log \frac{50}{147}$
3.
Using log values solve the following : $\frac{2.38 \times 3.901}{4.83}$
{log 2.38=0.3766,log 3.901=0.5912,log 4.83=0.6839, antilog 0.2839=1.923}
4.
Find the range of the function f(x)=5-3sinx
5.
If $f(x) = x^3-5 \sin^3x + 6x$ then prove that it is an odd function.
6.
Find $\lim_{x\to 0} \frac{\sin5x}{\sin15x}$