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Complex Analysis
Evaluate the integration of (2z+3)dz from 1-2i to 3+i. a. along the path x=2t+1, y=4t^2-t-2, 0<=t<=1. b.along the strightline joining 1-2i and 3+i
Complex Analysis
Use contour integration a. evaluate integration of x^2dx/x^4+1 from 0 to infinity. b. Show that the integration of cosn/1-2 cos+a^2 from 0 to 2π
Complex Analysis
U(x,y)+iv(x,y) a. Z^2+2iz b. e^z2 c. In(1+z)
Complex Analysis
Determine the residue of e^zt/(z-2)^3
Complex Analysis
Determine the residue of a. 2x+3/z^2-4 b. z-3/z^3+5z^2
Complex Analysis
Choose the correct answer.
Q. Which of the following is image of straight line x=1 under the transformation f(z)= z^2, where z=x+iy?
a. A circe
b. An ellipse
c. A parabola
d. A hyperbola
Q. Which of the following is image of straight line x=1 under the transformation f(z)= z^2, where z=x+iy?
a. A circe
b. An ellipse
c. A parabola
d. A hyperbola
Complex Analysis
Choose the correct answer.
Q. The residue of f(z)=sinhz/z^6 is
a. 1/6!
b. 1/4!
c. 0
d. 1
Q. The residue of f(z)=sinhz/z^6 is
a. 1/6!
b. 1/4!
c. 0
d. 1
Complex Analysis
Q.Choose the correct answer.
Q. Which of the following statement is true for f(z)=sinz/z^4 ?
a. f has essential singularity at z=0.
b. f has pole of order 3 at z=0
c. f has removable singularity at z=0.
d. None of above
Q. Which of the following statement is true for f(z)=sinz/z^4 ?
a. f has essential singularity at z=0.
b. f has pole of order 3 at z=0
c. f has removable singularity at z=0.
d. None of above
Complex Analysis
Q.Choose the correct answer.
Q. Let C=|z-2|=5, then evaluate the complex integral ∫_C▒〖(z^4 〗+4z)〖cos〗^2 zdz
a. 1
b. 0
c. π
d. -1
Q. Let C=|z-2|=5, then evaluate the complex integral ∫_C▒〖(z^4 〗+4z)〖cos〗^2 zdz
a. 1
b. 0
c. π
d. -1
Complex Analysis
Find the polynomial equation over R of lowest degree which is satisfied by 1-i and 3+2i
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