Question

Find v(x,y) so that f(z) = 3x^2 +8xy - 3y^2 + iv(x,y) is analytic

Find v(x,y) so that f(z) = 3x^2 +8xy - 3y^2 + iv(x,y) is analytic
Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the vector field F(x,y,z)=〈−3y,−3x,−4z〉. Find a potential function f(x,y,z) for F which satisfies f(0,0,0)=0.
Consider the vector field F(x,y,z)=〈−3y,−3x,−4z〉. Find a potential function f(x,y,z) for F which satisfies f(0,0,0)=0.
For the given function u(x, y) = cos(ax) sinh(3y),(a > 0); (a) Find the value of...
For the given function u(x, y) = cos(ax) sinh(3y),(a > 0); (a) Find the value of a such that u(x, y) is harmonic. (b) Find the harmonic conjugate of u(x, y) as v(x, y). (c) Find the analytic function f(z) = u(x, y) + iv(x, y) in terms of z. (d) Find f ′′( π 4 − i) =?
F(x,y) =<3x^2+ 3y^2,6xy+ 2.> Find the potential function for F that satisfies the condition f(0,1) =...
F(x,y) =<3x^2+ 3y^2,6xy+ 2.> Find the potential function for F that satisfies the condition f(0,1) = 0.
A) Consider the vector field F(x,y,z)=(9yz,−8xz,8xy). Find the divergence and curl of F. div(F)=∇⋅F= ? curl(F)=∇×F=(...
A) Consider the vector field F(x,y,z)=(9yz,−8xz,8xy). Find the divergence and curl of F. div(F)=∇⋅F= ? curl(F)=∇×F=( ? , ? , ?) B) Consider the vector field F(x,y,z)=(−4x2,0,3(x+y+z)2). Find the divergence and curl of F. div(F)=∇⋅F= ? curl(F)=∇×F=( ? , ? , ?).
Are the following function harmonic? If your answer is yes, find a corresponding analytic function f...
Are the following function harmonic? If your answer is yes, find a corresponding analytic function f (z) =u(x, y) + iv(x, y). v = ( 2x + 1)y
z= f(x,y) = xy-2x-3y+6 has one critical point (x,y,z). Please find it 2) f(xx)= 3) f(xy)=
z= f(x,y) = xy-2x-3y+6 has one critical point (x,y,z). Please find it 2) f(xx)= 3) f(xy)=
Let F ( x , y , z ) =< e^z sin( y ) + 3x...
Let F ( x , y , z ) =< e^z sin( y ) + 3x , e^x cos( z ) + 4y , cos( x y ) + 5z >, and let S1 be the sphere x^2 + y^2 + z^2 = 4 oriented outwards Find the flux integral ∬ S1 (F) * dS. You may with to use the Divergence Theorem.
Given the functions f(x,y) = x3 + y3- 3x - 3y First find the coordinates of...
Given the functions f(x,y) = x3 + y3- 3x - 3y First find the coordinates of all the critical points of f(x,y) and then apply the Second Order Partial Derivative Test to locate all relative maxima, relative minima and saddle points of f(x,y). Justify your answers and show your conclusions using an appropriate table. [Hint: The domain of f(x,y) is an open region ]
Find the maximum and minimum values of the function f(x,y,z)=3x−y−3 subject to the constraints x^2+2z^2=324 and...
Find the maximum and minimum values of the function f(x,y,z)=3x−y−3 subject to the constraints x^2+2z^2=324 and x+y−z=−6 . Maximum value is , occuring at ( , , ). Minimum value is , occuring at ( , , ).
Consider a function F=u+iv which is analytic on the set D={z|Rez>1} and that u_x+v_y=0 on D....
Consider a function F=u+iv which is analytic on the set D={z|Rez>1} and that u_x+v_y=0 on D. Show that there exists a real constant p and a complex constant q such that F(z)=-ipz+q on D. Notation: Here u_x denotes the partial derivative of u with respect to x and v_y denotes the partial derivative of v with respect to y.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT