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3feb2012 mth301final paper

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					                                          MTH301 – Calculus 2
                                   Fall 2012 Final term Current Paper
                                              03/Feb/2012
Total 52
40 mcqs
12 questions


Question No: 01

    Prove whether the following function is even, odd or neither.

    f ( x)  x 3  4 x

Question No: 02

                                         ^         ^          ^
       curl F              F  (3x  y ) i  xy 2 z j  ( xz 2 ) k
Find                , if
                                                                39
Question No: 03

                                                a0
Determine the fourier co-efficient                   of the following function.
                                               VU

f ( x )  x 2                 0  x  2 

Question No: 04

                     1
              1  x ds,                                              2 3
             C
                                                           x  t , y  t2 , 0  t  3
                                                                      3
Compute                         where C is the curve

Question No: 05

Use Stokes theorem to evaluate the integral
   r
  uu r
Ñ
 F .d r ,
C                      ur                    
                 where F  2 z i  3 x j  5 y k , C is the circle x 2  y 2  1

In the xy-plane with counter clockwise orientation looking down the positive z-axis.

Question No: 06




                               http://www.vu39.com/forum
        ur                 
        F  x 2 i  2 j  yz k                  ur
Given                            .Find div(Curl F ).



Question No: 07

                                      a0 , an a n d bn                                          defined by
Determine the Fourier coefficients                       for a periodic function of period 2

        x              x  0
f(x) = 
       0                 0 x 




Question No: 08

                         
                      3, , 
                                                   39
                        3 2
Consider the point                  in spherical coordinate system. Find the rectangular coordinatesof this
point.
                                    VU

Baki question ziyada tar Periodic equation se aye the is k ilawa
parametric equation or wallis formula or fourier series se aye the or 1
do the baki MCQs toh sab new the koi bhi past paper se nahi aya tha!




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