Register

GATE Mechanical 2022 Set 1 | Question: 26

• edited by
0 votes
0 votes

The value of the integral $$\oint \left ( \frac{6z}{2z^{4} - 3z^{3} + 7z^{2} - 3z + 5 } \right )dz$$ evaluated over a counter-clockwise circular contour in the complex plane enclosing only the pole $z = i$, where $i$ is the imaginary unit, is

  1. $\left ( -1 + i \right )\pi$
  2. $\left ( 1 + i \right )\pi$
  3. $2\left ( 1 - i \right )\pi$
  4. $\left ( 2 + i \right )\pi$
• edited by
User Avatar

Please log in or register to answer this question.

← PreviousNext →
← Previous in categoryNext in category →
Answer:

Related questions

0 answers
0 votes
Arjun asked Feb 15, 2022
GATE Mechanical 2022 Set 1 | Question: 2
Solution of $\triangledown ^{2} T = 0$ in a square domain ($0 < x< 1$ and $0 < y< 1$) with boundary conditions: $T \left ( x,0 \right ) = x; T \left ( 0,y \right ) = y; T\left ( x,1 \right ) = 1 + x; T\left ( 1,y \right )= 1 +y$ ... $T \left ( x,y \right ) = -x + y$ $T \left ( x,y \right ) = x + xy + y$
Solution of $\triangledown ^{2} T = 0$ in a square domain ($0 < x< 1$ and $0 < y< 1$) with boundary conditions: $T \left ( x,0 \right ) = x; T \left ( 0,y \right ) = y; T...
0 answers
0 votes
Arjun asked Feb 15, 2022
GATE Mechanical 2022 Set 1 | Question: 4
The Fourier series expansion of $x^{3}$ in the interval $-1 \leq x < 1$ with periodic continuation has only sine terms only cosine terms both sine and cosine terms only sine terms and a non – zero constant
The Fourier series expansion of $x^{3}$ in the interval $-1 \leq x < 1$ with periodic continuation hasonly sine termsonly cosine termsboth sine and cosine termsonly sine ...
0 answers
0 votes
Arjun asked Feb 15, 2022
GATE Mechanical 2022 Set 1 | Question: 5
If $A = \begin{bmatrix} 10 & 2k +5 \\ 3k - 3 & k +5 \end{bmatrix}$ is a symmetric matrix, the value of $k$ is __________________. $8$ $5$ $-0.4$ $\frac{1 + \sqrt{1561}}{12}$
If $A = \begin{bmatrix} 10 & 2k +5 \\ 3k - 3 & k +5 \end{bmatrix}$ is a symmetric matrix, the value of $k$ is __________________.$8$$5$$-0.4$$\frac{1 + \sqrt{1561}}{12}$...
Voting & Accepting an answer helps improve the community
Link Copied!