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MTH 301 Calculus II . Assignment No 2. Virtual University . Due Date Jul 17,2014.

    Total marks: 20

            Lecture # 23 to 30

  Due date: July 17, 2014

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Replies to This Discussion

q.3 kese ho ga

q.3 

e^-(x^2+y^2)=e^-r^2

and limit 

-2<=y>=2

0<=x>=pi

dxdy=rdrdo

double integeral e^-r^2  rdrdo

limit will be 

-pi/2<=theta>=pi/2

0<=r>=4

q.3 ans would be -pi e^-16

i think r^2=4 hai but r=2 hoga 

mehri u r right r=2 

wht will be other limit?

bro use this calculator and also tell me the right ans.

http://www.wolframalpha.com/widgets/view.jsp?id=819a2d24e73f94fa5a0...

Answer of second question 

=-3/4i + j

i) Symmetry about the Initial Line

If the equation of a curve remains unchanged when (r,θ) 
is replaced by either (r,-θ) in its equation ,then the curve 
is symmetric about initial line.

(ii) Symmetry about the y-axis

If when (r, θ) is replaced by either (r,π θ − ) in 
The equation of a curve and an equivalent equation 
is obtained ,then the curve is symmetric about the 
line perpendicular to the initial i.e, the y-axis

(ii) Symmetry about the Pole

If the equation of a curve remains unchanged

when either (-r, θ) or is substituted for (r, θ) 
in its equation ,then the curve is symmetric 
about the pole. In such a case ,the center of 
the curve.

kindly chek the quetion 3 if there is any mistake highlight it.

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