Answer:
(a) \frac{-1i}{2}-1[/tex]
(b) 
(c) i
Step-by-step explanation:
We have to perform division
(a) 
So after division

(b) We have given expression 
After rationalizing 
(c) We have given expression 
After rationalizing

The answer is c
Explanation:
A repeating decimal continues to go with the same number pattern. The terminating decimal stops the number pattern and does not keep repeating. The decimal for 5/9 is 0.5555... and it will keep repeating the number five.
five to the second power is 5x5 which is 25.
two to the fifth power is 2x2x2x2x2 which is 32.
Please note that your x^3/4 is ambiguous. Did you mean (x^3) divided by 4
or did you mean x to the power (3/4)? I will assume you meant the first, not the second. Please use the "^" symbol to denote exponentiation.
If we have a function f(x) and its derivative f'(x), and a particular x value (c) at which to begin, then the linearization of the function f(x) is
f(x) approx. equal to [f '(c)]x + f(c)].
Here a = c = 81.
Thus, the linearization of the given function at a = c = 81 is
f(x) (approx. equal to) 3(81^2)/4 + [81^3]/4
Note that f '(c) is the slope of the line and is equal to (3/4)(81^2), and f(c) is the function value at x=c, or (81^3)/4.
What is the linearization of f(x) = (x^3)/4, if c = a = 81?
It will be f(x) (approx. equal to)
Answer:
Reflection across the y-axis and translation (slide) down by 1 unit.