Hyperbolic functions

  • Thread starter bobsmith76
  • Start date
  • #1
336
0

Homework Statement




Screenshot2012-02-08at22412AM.png


why is the answer not e^10x ?

If you ignore the e's it should be

5x - 5x + 5x - - 5x, or
5x - 5x + 5x + 5x, which is 10x
 

Answers and Replies

  • #2
2,967
5
If you ignored the e's, it wouldn't be a hyperbolic function, but a linear function.
 
  • #3
336
0
well, i still don't see any reason why the answer is not e^10x
 
  • #4
2,967
5
Hint:

[tex]
e^{x} + e^{y} \neq e^{x + y}
[/tex]

For example: Take [itex]x = y = 0[/itex] and compare the two sides of this unequality.
 
  • #5
Curious3141
Homework Helper
2,843
87
Bob, this is basically [itex]\frac{a+b}{2} + \frac{a-b}{2} = \frac{a}{2} + \frac{b}{2} + \frac{a}{2} - \frac{b}{2} = (2)(\frac{a}{2}) = a[/itex]. Simple algebra. Here [itex]a = e^{5x}[/itex] and [itex]b = e^{-5x}[/itex].

But your comment indicates a deeper confusion about exponents and algebraic principles. I would suggest that it might be a good idea to review basic algebra including the rules of exponentiation.
 

Related Threads on Hyperbolic functions

  • Last Post
Replies
1
Views
662
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
2
Views
840
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
3
Views
963
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
2
Views
4K
Top