10 Questions
2 Views

# Advanced Calculus and Complex Analysis: Analytic Functions

Created by
@FineLookingAsh

### What is the effect of the transformation W = AZ, where A ≠ 0, on the vector Z?

It rotates the vector Z by an angle Α and scales its length by a factor of |A|

### What is the result of equating real and imaginary parts in the transformation W = Z + 2 - I?

U = X + 2 and V = Y - 1

### What is the region in the W-plane corresponding to the triangular region bounded by X = 0, Y = 0, X + Y = 3 under the transformation W = 2Z?

A 2-times magnified triangle

### What is the region in the W-plane corresponding to the triangular region bounded by X = 0, Y = 0, X + Y = 1 under the transformation W = EIΠ/4 Z?

<p>A region bounded by U = -V, U = V, and U + V = 1</p> Signup and view all the answers

### What is the transformation W = 2Z equivalent to?

<p>A magnification of 2 times</p> Signup and view all the answers

### What is the purpose of equating real and imaginary parts in the transformation W = Z + 2 - I?

<p>To separate the real and imaginary components of the transformation</p> Signup and view all the answers

### What is the effect of the transformation W = EIΠ/4 Z on the vector Z?

<p>It rotates the vector Z by an angle of Π/4 radians</p> Signup and view all the answers

### What is the transformation W = Z + 2 - I equivalent to?

<p>A translation of 2 units and a rotation of Π/4 radians</p> Signup and view all the answers

### What is the region in the Z-plane corresponding to the triangular region bounded by U = 0, V = 0, U + V = 6 under the transformation W = 2Z?

<p>A triangle bounded by X = 0, Y = 0, X + Y = 3</p> Signup and view all the answers

## More Quizzes Like This

Use Quizgecko on...
Browser
Information:
Success:
Error: