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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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