The subject of transparency in Qatar
Introduction on what is transparency and the importance of transparency
Historical introduction about Qatar, you can use the Word Bank website on transparency in Qatar
Laws that are enacted, you can use the word bank website to find information

Reform in the era of Sheikh Tamim
Organizing and reforming charities
A new law on transparency
E-government
Imperial security whenever it is applied

Recommendations:
awareness  about the importance of transparency and how to implement it.
A committee to follow up on these matters and is following departments to raise data periodically
More flexible laws and procedures

How can the rest of the countries benefit from the experience of the e-government

Q1. Define Total differential and write the rules for Absolute change, Relative Change and
Percentage change.
[2]
Q2. If
x
f
and
y
f
f x y x find y






( , ) (2 ) ,
( 5 )
[2]
Q3. Write two real life applications of Integration in the field of Engineering. [2]
Q4.
Solve





  
 x
x
x
1 2 1
lim
0
[2]
Q5. Find the volume of the solid generated by revolving
6
2
y  x 
between x=1 and
x= 4 about the x-axis.
[2]
PART – 2 (20 Marks)
INSTRUCTIONS: SHORT ANSWER
Q6. Draw the circuit diagram for two resistors
R1 and R2
connected in Parallel. Consider
values for resistors
R1 12K ,and R2 18K
and change in resistors
150 , 255 . dR1   and dR2  
Find the percentage change in total resistance R.
[4]
Q7.
Solve








 log (6 7)
log (7 8)
9
6
lim
x
x
x
[4]
Q8.
Find the arc length of the curve
2
3
y  1 6x
from
x  2
to
x  3.
[4]
Q9.
Evaluate the integral
  
dx
x x x
x x

  
 
3 6 9
6 8
2
2
by using the Partial Fraction.
[4]
Q10. Explain the steps for evaluating the double integral and triple integral? Give an
example for each one.
[4]
Page 4 of 4
PART – 3 (20 Marks)
INSTRUCTIONS: ANSWER SHOULD NOT BE MORE THAN 2 PAGES
Q11.
Evaluate the integral
dx
x x x
x x x

 
  
4 4
3 4 7 5
3 2
3 2
by using the Partial Fraction.
[5]
Q12. Find the areas of the regions enclosed by the two curves
2 5
2
x  y  and
x  45. [5]
Q13. Evaluate the Integral
e x dx x


cos(2 )
3
using Integration by Parts. [5]
Q14. (a) Find
y
z


if
3 2
yz  sin(2z)  zx  y
, defines z as a function of two independent
variables x and y and the partial derivative exists.
(b) If
 
z
f
and
x
f
f x y z e find x y z





 
( , , ) ,
cos3 sin 2
2
.

Sample Solution

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