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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
Space Constrained Inventories, A grocer has exactly 1,000 square feet available to display and sells 3 kinds of vegetables. The space consumed by each kind of vegetable is proportional to its cost
I wish to find the general nontrivial solution to the fourth order ODE with boundary conditions
Now there is a fair coin in each room. Each prisoner goes to each room and flips the coin. If the coin comes up heads, prisoner changes the state of the switch.
The Snell law to find the index of refraction
How are the vertex and axis of symmetry related on a parabola? Please explain with the help of an example.
Evaluate the equation of the standard rectangular hyperbola and equation of the tangent and normal at a point to rectangular Hyperbola
Statistics: linear and multilinear regressions, The personnel director for a local manufacturing firm has received complaints from the employees in a certain shop regarding what they perceive to be inequities in the annual salary for employees who..
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
Solving probability problems based on empirical rule
Find the horizontal asymptote and y-intercept for a given function - Explain the transformations on the given graph
FInd the probability that exactly 2 will be defective
Identify the meaning of independent and dependent events. Calculate probabilities and joint probabilities of simple events. Explain the basic logic of probability theory
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