Answer to Question #236254 in Chemical Engineering for Loki

Question #236254
21) Find the maximum value of the function f (z)=e^3z on the curve C:|z|=2.
Explain the problem with step by step process?
1
Expert's answer
2021-09-16T02:11:03-0400

Letzj=xj+ij,z_j =x_j +i_j, where xj,yjxj,yj are real number=1,2,3.

 (a) We have

z1+z2=(x1+x2)+i(y1+y2)=(x2+x1)+i(y2+y1)=z2+z1.z1 +z2 =(x1 +x2)+i(y1 +y2)=(x2 +x1)+i(y2 +y1)=z2 +z1. z1z2=(x1x2y1y2)+i(x1y2+x2y1)=(x2x1y2y1)+i(y2x1+y1x2)=z2z1.z1z2 =(x1x2 −y1y2)+i(x1y2 +x2y1)=(x2x1 −y2y1)+i(y2x1 +y1x2)=z2z1.



is valid for real numbers and so it holds for the real and imaginary parts ofz1z2,z3.z_1z_2,z_3.

Consequently we have

(z1+z2)+z3=z1+(z2+z3).(z_1 +z_2)+z_3 =z_1 +(z_2 +z_3).


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment