9. Find a conform al mapping such that the complex plane minus the positive z-axis is trans- formed onto the interior of the unit circle, so that the point -4 is mapped to the origin.

Q: Describe the set of points in the complex plane satisfies Z? + Z2

A: Introduction: The sum of a real and an imaginary number is a complex number. A complex number is…

Q: 3. Plot the set of points in the complex plane which satisfy |2z + 3 – 4j| > 3.

A:

Q: f) Every continuous map T² RP2 is homotopic to the constant map.

A:

Q: Verify that U(x,y) = x3y - xy3 is harmonic on the complex plane.

A:

Q: Prove that the point 2a +b-c, 5a -b+ 2c and 8a – 3b+5c are collinear.

A: Given, 3 vectors or points, A(2,1,-1) B(5,-1,2) C(8,-3,5)

Q: bz+ bz=c, b0, be a line in the complex plane, w the reflection of the point through the line then

A:

Q: Find the inverse Laplace for the following using Partial Fraction Expansion:

A:

Q: z is a complex variable z=x+iy pic attached with question  Evaluate using L’Hospital’s rule

A: To calculate the limit of the given indeterminate form using L'Hosptial rule

Q: Let z2T3-L p=S+Si O fird all the complex mumbers %3D guien by hza

A:

Q: SKetch the Cuove in the Complex Plane given by 12-3) = 1z+31| %3D

A: The detailed solution is as follows below:

Q: 5. Draw/Describe the set of points in the complex plane that satisfies |z - il < 2.

A:

Q: Draw the set of points z on the complex plane such that V 2i · z is real. Explain your answer.

A:

Q: Find the centre and radius of the circle formed by all the points represented by z = x+ iy…

A:

Q: Give equations for two distinct planes whose trace in the xy-plane hasequation 4x + 3y = 8.

A: Given information: The xy-plane has equation 4x + 3y = 8. Calculation: The equation of the plane is…

Q: 14) Find and graph of the roots in the complex plane for Vi 15) Let u = x³y - y³x a. Verify that the…

A:

Q: must use linear algebra to find the parametric equations of a line of intersection in R3 for x1 + x2…

A:

Q: Parametrize the directed line parabolic segment y = x2 that joins 2 + 4i to −1 + i.

A:

Q: Name a complex function that is defined on the entire plane and is continuous at all points except…

A: Continuous function

Q: Describe the set of points z in the complex plane that satisfy the equation |Re (1 + iz)| = 3. show…

A:

Q: Compute the intersections of the curve xy = 1 and the lines x +y = 5/2, x+y = 2, x+y = 0, x=0 , x=1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Draw/Describe the set of points in the complex plane that satisfies |2z – i| = 4.

A: Let the complex number,  z=x+iy . The expression, |z| is calculated using the formula, |z|=x2+y2 .

Q: det f be map sending each complex number る→ Show that ((7,7. よ( S()

A: The detailed solution is as follows below :

Q: Q3] Describe the set of points z in the complex plane that satisfy z] =|z- il.

A: