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College of Engineering and Computing

Academic Year 2014 - 2015, Semester –Winter  

Calculus II MAT 112 Evening Section -1

Submission date : 15-03-2015  Total Marks: 25 Marks Obtained: ____ 

Name of Student:___________________________________________  Student ID: ___________________ 

Assignment –1 

 All Questions are compulsory.

Q 1.   Evaluate the following integral by Trigonometric substitution method. !!!"

!! !  !

 

03 Marks

CLO(1) 

Q 2.   Evaluate the following integral using improper integration method!!!

!!!   !!

!!

 

!!

!"!

!

 

04 MarksCLO(1) 

Q 3.  Determine whether the integral dx

 x ! 

"

1

0   1

4 is convergent or divergent

03 Marks

CLO(1)

Q 4.Use Mid-point Rule with n = 5 to approximate the integral !    +

2

0

21 x  dx 

03 MarksCLO(2)

Q 5.Find the error in estimating the integral !  !"# ! !"

!

!

 with the Trapezoidal rule and Mid

point rule with n = 10 steps. 

03 Marks

CLO(2)

Q 6. Find a polar equation for the circle x2 + (y – 3)2 = 9. 04 MarksCLO(3)

Q 7. Find a Cartesian equivalent for the polar equation !   !  !

! !"#!! !"#!, identify the graph.  04 Marks

CLO(3)

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