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a) Determine the irreducibility of x20-11 over Q(set of rationals), and use it to prove or disprove that the ideal <x20-11> is a maximal ideal of Q[x].
b) Construct an integral domain R and an element a in R such that a is irreducible but not prime in R.
c) Suppose that R is a principal ideal domain and a in R is irreducible. If a does not divide b in R, prove that a and b are relatively prime.
d) Suppose p in N(set of naturals) is a prime number. Show that every element a in Zp has a p-th root, i.e. there is b in Zp with a=bp.
Estimate whether the system is inconsistent or consistent
find the equilibrium point
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Transformations & asymptotes of functions.
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Make a graph of the relationship.
Explain how to find the perfect square of 329476 without using a calculator, step by step.
Cramer's Rule to calculate the linear equations.
interpreting graphs we often use graphs of recent data to project the changes in future data. the following is the
Perform the indcated operation. Which rational expression is the difference in lowest terms?
In January 1999, a company was formed. Total assets were $500,000, of which $300,000 consisted of depreciable fixed assets.
Explain under what circumstances each method would be preferred over any of the other methods. Give an example for each circumstance.
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