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The addition to one’s diet of non-digestible food ingredients that stimulate the growth of “good” bacteria in the colon is known as

I have upheld my school’s Academic Code of Integrity and am submitting only my own work.  I have held my work up for the camera where work is required during part 1. (If you forgot – do so now.) I will begin part 2 of the final immediately after submitting part 1 and upload pdf files of the work that is required.

Let be the ring defined by

Let be an integral domain, and consider , the ring of polynomials in two variables and and coefficients in . The ideals and are prime in explain why with details.   Is either or maximal? (explain why or why not)  

What is the ideal generated by in ?  (List the elements in the ideal.)   The quotient is isomorphic to a familiar ring – what ring is it?  (Prove your assertion.)

which of the financial statements used by businesses to keep track of their financial affairs is the most similar to an ordinary person’s end-of-the month bank statement?

The process of building and maintaining relationships with people whose interests are similar or whose relationship could bring advantages to the firm is called:

A firm’s working capital is its:

The following molecule is called:  

What is the predicted major product of the reaction shown?