Answer:
9πi/2
Step-by-step explanation:

Let f(z) = (5z² + 4) / (z + 3).

Using Cauchy's integral formula:

Answer:
The correct option is c.
Step-by-step explanation:
The given equation is

The given inequality is

A point will contained in solution set if the above inequality satisfied by that point.
Check the point (0,-3),


This statement is false, therefore option a is incorrect.
Check the point (-3,0),


This statement is false, therefore option b is incorrect.
Check the point (3,3),


This statement is true, therefore option c is correct.
Check the point (-3,-3),


This statement is false, therefore option d is incorrect.
Answer:
x^3-4x^2+25x-100
Step-by-step explanation:
We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root
Combining the roots into a polynomial gives us:
(x+5i)(x-5i)(x-4)
Expand:
(x^2 + 25)(x-4)
x^3-4x^2+25x-100