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Given
A=(-1/2+isqrt(3)/2)^n
1. Show that A is real for any natural n
2. Show that for n=3K where K is a natural number, A=2
What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right?
Solve the system of equations using matrices and the Gaussian Elimination Method with back substitution method 2x+y-2z=-1
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Perform the computations and write your answer in scientific notation.
Assuming that all variables represent positive real numbers rewrite the following in simplified radical form
the length of a rectangle is 4 inches more than 2 times the width. the perimeter is 50 inches. find the length and
The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate r (where r is given as a decimal), using compound interest. What interest rate will cause $2000 to grow to $2247.20 in 2 years?
on saturday there were seven people chosen at random to fill out a survey about how much time they spend each week on
Find the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not have an asymptote.
Which year had the greatest number of stray cats? Between which two years did the greatest increase in the number of stray cats occur?
Find the characteristic and minimal polynomials for T, with explanation. (For the characteristic polynomial, recall that you will need to choose a basis for , find the matrix of T relative to that basis, and find the characteristic polynomial of t..
Let G be a finite group with the property that all of its proper subgroups are Abelian. Let N be a proper normal subgroup of G. Show that either N is contained in the center of G or else G has a normal subgroup H which is a maximal subgroup o..
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