Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions

hmm interesting, i have some admiration for complex though i have no skills in such things yet lol

I believe it might have something to do with cancelling the complex part.

i have a feeling that it is not that hard just kind of a trick

was kind of thinking that too

somehow we have to show it is -14

maybe and I could be totally crazy
we could do something with magnitudes of complex numbers

\[f^2(7,3)=23^2+a^2 \]

still playing

you -14 was the answer! did you just tried it directly?

said*

no I looked at the answers

oh ok

how did you know -14 was right?

no i just saw your reply above mentioning that

I wonder what analytic means

looking up...

isn't that related to graphs ?

don't know why wolfram ignores the imaginary stuff for such functions

https://www3.nd.edu/~atassi/Teaching/ame60612/Notes/analytic_functions.pdf
go to page 2

you know it crossed my mind that we need to use calculus lol

so any analytic function has no differentiability problem is that what you are saying?

\[2g(x,y)=2y-3x+C(x)-K(y) \\ 2g(2,3)=2(3)-3(2)+C(2)-K(3) \\ g(2,3)=C(2)-K(3)\]

err...

oh i see! after checking the theorem in that pdf

lol still trying to play with this fungus

and that is equal to 1

\[1=C(2)-K(3)\]

\[2g(7,3)=2(3)+3(7)+C(7)-K(3)\]

\[2g(7,3)=27+C(7)-K(3)\]

\[2g(7,3)-1=27+C(7)-C(2)\]

Oh yea, use the Cauchyâ€“Riemann equations to solve this.

\[2g(7,3)=28+C(7)-C(2) \\ g(7,3)=14+\frac{C(7)-C(2)}{2}\]

oops i made a type-o somewhere above

I think I'm still making a mistake somewhere

Oh I get it now.

The C-R equations are your best bet. It becomes a problem similar to finding potential functions.

and \[3 = -g_{x}\]

Yes, and then you find the potential function by adding the constant term.

So your potential function g(x,y) becomes -3x + 2y + C

Therefore, you get \[g(x,y) = -3x+2y+1\]

So just plug in, g(7,3) and you will get -14.

thanks for your help guys