Math

posted by .

Find a formula for a transformation of the complex plane that carries the disk {z: |z-5| < 3} to the disk {z: |z-2| < 8}

  • Math -

    f(z) = z-3 translates the disc 3 units to the left.

    f(z) = 8/5 * (z-3) magnifies the shifted disc to have radius 8 instead of 5

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Two disks are on a frictionless plane as shown. The first disk, with mass M is initially at rest. The second disk with mass 2M has an initial velocity of 6 m/s in the y direction before colliding with the first disk. After the collision, …
  2. Physics

    A charged disk of radius R that carries a surface charge density σ produces an electric field at a point a perpendicular distance z from the center of the disk, given by: Edisk = (sigma/2e0) x(1-(z/(square root(z^2 + R^2)) Consider …
  3. Physics

    A flat uniform circular disk (radius = 2.10 m, mass = 1.00 102 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 40.0-kg person, standing …
  4. physics

    A force of 100 N is applied tangentially to a disk of radius 10 cm and mass 0.5 kg. the disk is initially at rest. What is the angular acceleration of the disk?
  5. Physics

    A penny is placed at the outer edge of a disk (radius = 0.159 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.50 s. Find the minimum coefficient of friction necessary …
  6. Physics

    A penny is placed at the outer edge of a disk (radius = 0.159 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.50 s. Find the minimum coefficient of friction necessary …
  7. physics

    A uniformly charged disk of radius 35.0 cm carries a charge density of 6.70 multiplied by 10-3 C/m2. Calculate the electric field on the axis of the disk at the following distances from the center of the disk. (a) 5.00 cm
  8. physics

    A penny is placed at the outer edge of a disk (radius = 0.119 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.70 s. Find the minimum coefficient of friction necessary …
  9. physics

    a penny is placed at the outer edge of a disk(radius =0.150m) that rotates about its axis perpendicular to the plane of the disk at its center. the period of rotation is 1.80s. find the minimum coefficient friction necessary to allow …
  10. Physics

    A uniform disk with mass m = 8.54 kg and radius R = 1.35 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 333 N at the edge of the disk on the +x-axis, 2) a force 333 …

More Similar Questions