MATH 245-Final Review(Summer 2017).doc - MATH 245-Final...

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MATH 245-Final Review (ZAHEDANI)Summer 2017…………………………………….PCC……………………………………………………1)a)LetRRg:be defined by27)(xxg. Show that g is one-to-one and ontoand find1gb)LetRRf:be defined by2)(5xxf. Show that f is a bijection and find1fc)Let),1(),1(:gbe defined by1)(xxxg. Show that g is one-to-one andonto and find1g.2)LetRRRRg:be defined by),(),(yxyxyxg. Show that g is one-to-one andonto3)Prove by a counterexample that each of the following functions are not ontoa),:RRf12)(2xxxf:b)QQg:,253)(xxxc)35)(,:nnhNZh4)Solve the linear recurrence relation1,0,127021aaaaannn.5)Solve the linear recurrence relation3,1,91021bbbbbnnn6)Suppose you save money at a bank that pays 5% per year in simple interest. If you open theaccount with $200, and in addition to the interest that the bank pays, on the last day of eachyear, you deposit $100 more into the account. Give a recurrence relation for)(nS.g16

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Term
Summer
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Tags
Math, Equivalence relation, Binary relation, Recurrence relation, Isomorphism
We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
Mathematics for Elementary School Teachers
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Chapter 2 / Exercise 41
Mathematics for Elementary School Teachers
Bassarear
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