Results 1 to 3 of 3

Math Help - Real and imaginary numbers

  1. #1
    Junior Member
    Joined
    Apr 2010
    Posts
    26

    Real and imaginary numbers

    I am having trouble with Q5 in the attached file,

    For part (a) after expanding and simplifying I have the answer:

    f(z)=(36x^2)+4iBy-12ix


    How would I wite the real and imaginary parts of the function in terms of B, x and y?

    Also for which values of B is f differentiable? and where?....

    ...... Btw is there a program of some sort I can download to write up the questions in a more 'mathematical way' so I can write the symbols, instead of attaching the files?? Thanks
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,441
    Thanks
    1862
    Quote Originally Posted by zizou1089 View Post
    I am having trouble with Q5 in the attached file,

    For part (a) after expanding and simplifying I have the answer:

    f(z)=(36x^2)+4iBy-12ix


    How would I wite the real and imaginary parts of the function in terms of B, x and y?
    Since x, y, and \beta are real, that is just (36x^2)+ (4\beta y- 12x)i. The "real part" is 36x^2 and the imaginary part is 4\beta y- 12x

    Also for which values of B is f differentiable? and where?....
    I assume you mean "differentiable with respect to z". The function f(z)= g(x,y)+ h(x,y)i is differentiable with respect to z= x+ iy only if it satisfies the "Cauchy-Riemann equations":
    \frac{\partial g}{\partial x}= \frac{\partial h}{\partial y} and
    \frac{\partial g}{\partial y}= -\frac{\partial h}{\partial x}

    ...... Btw is there a program of some sort I can download to write up the questions in a more 'mathematical way' so I can write the symbols, instead of attaching the files?? Thanks
    There is a LaTex equation editor at Online LaTeX Equation Editor
    You don't need to download, it just open a new tab page (in internet Explorer) and go to that site.

    Type your equation in the box, selecting "special" symbols from the menu, then copy and paste the result. That's what I did here:
    \int_{-\infty }^{\infty }e^{-x^{2}}dx
    If you move your cursor over that, you will see the code needed for that.
    Different web-sites use different HTML markers to begin end LaTex. On this site, you need to begin with "[math ]" and end with [/math ]" (without the space I put in so they would not be interpreted as LaTex and you could see them).

    But I really prefer just to type in the LaTex myself. There is a tutorial on this site at http://www.mathhelpforum.com/math-help/latex-help/.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Apr 2010
    Posts
    26
    Thanks alot for the help
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Real and Imaginary parts
    Posted in the Trigonometry Forum
    Replies: 0
    Last Post: January 6th 2011, 04:34 PM
  2. real and imaginary
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 30th 2010, 04:37 AM
  3. real and imaginary parts of tan(z)
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 17th 2009, 06:58 AM
  4. Replies: 2
    Last Post: December 9th 2009, 04:14 PM
  5. Real and Imaginary function
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 6th 2009, 07:02 AM

Search Tags


/mathhelpforum @mathhelpforum