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Apply DeMoivre's Theorem to solve the following:
*any angles that are multiples of pi/6, pi/4, pi/3, pi/2 or pi must be converted back into regular complex form!
1. (-1-i)^4
2. (-4sqrt3 + 4i)^1/3
3. (2(cos pie/3 + i sine pie/3))^5
4. z^4 +8sqrt3-8i=0; solve for z
What three variables are negatively related to competence
What are some similarities and differences between permutations and combinations? Give a real-life example of either a permutation or combination.
Description of Joint probability, However in this problem what do I do with 2X in my upper y limit, can I plug in the max x value and just make it 0
Starbucks cashiers take thousands of orders each day. Samples of the accuracy in the orders are listed below. One hundred orders taken by each cashier were carefully examined and the number of errors counted.
Evaluate whether the given sets of vectors form a basis or not.
Finding a simple random sample
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
Please explain the steps and solution. Find an equation of the line tangent to the curve defined by the equation at the specified point:
In which year will the percentage of voters from group A be the same as the percentage of voters from group B? What percent will be from group A and what percent will be from group B that year?
Probability of Lamp Failure, A lamp has two bulbs, each of a type with an average lifetime of 6 hours. The probability density function for the lifetime of a bulb
Calculate the missing R-square statistic.
Demand for pools. Tropical Pools sells an aboveground model for p dollars each. The monthly revenue for this model is given by the formula R(p)=0.08p2 +300p.
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