How Do Complex Plane Transformations Affect Equations?

Click For Summary
Complex plane transformations can significantly impact the behavior of equations, particularly in relation to their variables. The discussion revolves around a specific problem and its solution, with confusion arising over the interpretation of the solution for part b. A participant questions the validity of the solution, suggesting that if x equals 4, then the equation u/(u^2 + v^2) should also equal 4. The conversation highlights the need for clarification on this point, with some suggesting a possible typo in the original solution. Overall, the complexities of transformations in the complex plane are emphasized, particularly in how they relate to specific values in equations.
nokia8650
Messages
216
Reaction score
0
http://img34.imageshack.us/img34/5391/13262160.jpg
http://g.imageshack.us/img34/13262160.jpg/1/

http://img46.imageshack.us/img46/7397/62501858.jpg
http://g.imageshack.us/img46/62501858.jpg/1/

http://img7.imageshack.us/img7/2651/15142727.jpg
http://g.imageshack.us/img7/15142727.jpg/1/

Above is the problem and given solution. I am unable to understand the solution for part b - if x =4 then surely u/(u^2 + v^2) =4. Can someone please clarify this.

Thanks in advance.
 
Last edited by a moderator:
Physics news on Phys.org
Typo is the only thing that comes to mind.

I think it should be 4.
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

Solving a Complex Integral Problem by Hand
  • · Replies 3 ·
Replies
3
Views
2K
Fourier transform of a triangle function
  • · Replies 8 ·
Replies
8
Views
16K
Solve the Math Equation: 1. (b)? 2. (c) -2 5. (a)
  • · Replies 15 ·
Replies
15
Views
2K
Find Surface Area of Sphere Part Above xy-Plane & Within Cylinder
  • · Replies 1 ·
Replies
1
Views
1K
Transformations from the Argand plane
  • · Replies 2 ·
Replies
2
Views
2K
Understanding Matrix Transformations: Question and Solution
  • · Replies 1 ·
Replies
1
Views
1K
How can I transform a line in the z plane to a circle in the w plane?
  • · Replies 2 ·
Replies
2
Views
2K
What is the Simplified Solution for Complex Polynomial Zeroes?
  • · Replies 11 ·
Replies
11
Views
2K
Roots of the Following Series in the Complex Plane
  • · Replies 6 ·
Replies
6
Views
2K
Understanding Complex Plane Regions: Solving Equations and Graphing Circles
  • · Replies 4 ·
Replies
4
Views
3K