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Show that N is contained in P for each prime ideal, P of a commutative ring R.
Where N is the set of all nilpotent elements. "a" is nilpotent if a^n=0 for some positive integer n. N itself is an ideal.
Prove that if p is a prime number of the form 4n + 1, then the following congruence hold
Calculate the marginal cost of the bags.
In your own words, define the term equation and then explain what it means to solve an equation. Give an example of an equation and its solution.
Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph. Show your wok and state if the equation of the line is asymptotic to the g..
The sum of the measure of an angle and five times its complement is 300 . What is the measure of the angle?
If you require 15 dozen peanut butter, 10 dozen sugars and 11 dozen oatmeal cookies, how many of each size box should you buy?
Write the polynomial as factors.
Mixture problem.
Use the simplex method to solve the following maximization problem with the given tableau. You may use an applet or something from the internet to help you, but you must explain each step. If you have it worked without an explanation for each step..
Determine the perfect trinomial
How would you use this procedure (factoring a quadratic expression with leading coefficient a = 1) to determine if a given polynomial is prime
Find the exact area under the graph of f(x) = x2 - 2x + 2 on the interval [-1 , 2] using limits with a right sum. Correct notation is crucial.
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