Finding the Domain of a Vector Function

Click For Summary
To find the domain of a vector function, identify the set of all "x" values for which the function is defined. This process is similar to determining the domain of any mathematical function. If the domain is not explicitly provided, it typically includes all values that allow for valid calculations. For further assistance, providing a specific example can clarify any uncertainties. Understanding these principles is essential for accurately determining the domain of vector functions.
baokhuyen
Messages
9
Reaction score
0

Homework Statement


how to find the domain of an vector function?


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
What do you mean by "a vector function"? Do you have a specific problem that you need help with?
 
You find the domain of a vector function the same way you find the domain of any function: if it is not specifically given, the domain is the set of all "x" values for which the calculation can be done.

If you don't understand that, show us the example you are working on.
 
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?

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
12
Views
2K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
2
Views
1K