complex conjugate

What is the complex conjugate of 78.93iw^3+30.48iw^2+iw? How did you find it? thanks.

Equality of Complex Numbers

I sent an attachment of the problem that I was assigned. I am aware that you can't solve the problem for me but I am very confused on how to solve an equality with both an I and an x raised to the 4th power... I know that you must combine the imaginary numbers with other imaginary numbers and real numbers with real numbers but ...continues

Investments

If I invested $100,000 now at 12% per yr over 15 yrs what if the most I could spend in equal amounts out of the fund each yr? Please also show the formula as to how this was calculated.

complex numbers

Please when working this out can you show every stage in the simplest form to get to the required answer. Problem (also attached): Given that cos x= ... (see attachment) Using ONLY this information, prove that: cosAsinB=1/2[sin(A+B)- sin(A-B)]

Finding roots and solving a quadratic equation

The equation {see attachment} has complex conjugate roots (4+j2) & (4-j2). By a process of division and solving a quadratic equation, find all the roots and hence write down all the factors of ... {see attachment}

Using real and imaginery parts, find the values

In the following equation (see attached), by equating real and imaginary parts, find the values of X & Y ...

Show that the derivative of the following function does not exists at any point f(z) = 2x + ixy^2 Note that I and j are used and they represent the same imaginary quantity ( – 1)^(1/2).

Complex Variables Existence of a Function Show that the derivative of the following function does not exists at any point ...continues

Complex Integration

b. Determine the path traced out by w as z moves along a straight line joining... Please see attached.

Complex Analysis

a. A certain fluid is flowing with a constant speed V in a direction making an angle B with the positive x-axis. Find the complex potential for the fluid under consideration. Also determine the velocity and the stream functions. (12 marks)

Complex Analysis

b. A region is surrounded by two infinitely long concentric cylinders of radii... Determine the potential and electric field vector everywhere in the region. Please see attached.