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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.
jenna figures she uses two pens per month for her school work. she started the school year with ten pens. what is the
the electric current in a in a circuit with a battery of voltage e a resistance r and an inductance l is i er1-e-rtl
The demand for a certain product is given by p = 28 - 0.01x,where x is the number of units sold per month and p is the price, in dollars, at which each item is sold. The monthly revenue is given by R = xp.
Prepare an income statement for the month using absorption costing.
You will use the following situation to complete your task:A person is planning on saving money according to a rigid savings schedule. Saving plan A is to make an initial deposit of $400 and then deposit $20 per month into the account.
Why is it sufficient to define a quadratic function in terms of a, b, and c? f(x) = ax^2 +bx +c. Present at least two different ways of graphing quadratic functions. Please show detailed work.
The median earnings of women aged 25 and older who work full time, year round, by educational attainment. Create a bar graph from this information.
find the axis of symmetry for y 4x2nbsp 16x - 2.a.nbspnbspy 2b.nbspnbspy -2c.nbspnbspy 8d.nbspnbspy
Basics of parabolas and plotting.
an increase in value of any collection is not guaranteed for a variety of reasons. if you are a collector please use
A complete algebraic formulation of the linear programming model. This should include a description of the decision variables and an explanation of the objective function and constraints.
What is the maximum price that Helen can charge and still sell at least one can? What happens to her sales every time she raises her price by $1?
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