Question

Write the following function in the form w = u(x, y) + iv(x, y) = f(z) = 3z² + 5z + i + 1 =

Answer 1

The given function w = 3z² + 5z + i + 1 can be written in the form w = u(x, y) + iv(x, y) = f(z) = 3x² + 5x + 1 + (3y² + 5y + 1)i.

Step-by-step explanation:

The given function is w = u(x, y) + iv(x, y) = f(z) = 3z² + 5z + i + 1.

Here, u(x, y) and v(x, y) are the real and imaginary parts of the complex function f(z).

So, we can write the function as w = (3x² + 5x + 1) + (3y² + 5y + 1)i.