Assignment No. 2 Of MTH202 (Fall 2011) Quiz4vu (Virtual University)

Assignment No. 2 Of MTH202 (Fall 2011)

                                                                                              Maximum Marks: 20                                                                                      

                                                                                                     Due Date: Dec 19, 2011

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Question 1                                                                                                            Marks 07

Let A= {1, 2, 3} and B= {1, 2, 3, 4},

Define a binary relation R from A to B as follows:    

R= {(a, b) ÎA´B| a>b}

Then

a)      Find R as a set of ordered pairs.

b)      Find domain and range of R.

c)      Draw the directed graph of R.

                                                                       

Question 2                                                                                                            Marks 07

Let f: R®R be defined by

         

Determine whether or not f is                                                                                                

a)      one-to-one

b)      onto

Question 3                                                                                                             Marks 06

Find the 50^th term of the sequence

37, 27, 17, …