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mth201 mid term current paper spring 18 May 2011
#1
If f(x) = x2 + 1 and g(x) = x + 2 Then find (f-g) (x)

Suppose are two sets and R is a relation from A to B as then determine the matrix representation of the R.

Find the sum of the infinite G.P.

Suppose that R and S are two reflexive relations on a set A. Prove or disprove is reflexive.


Show that the sequence 0, 1, 3, 7, . . . , 2 n – 1, . . . , for n  0, satisfies the recurrence relation
d k = 3d k-1 – 2d k-2, for all integers k  2

Consider the relation on a set . Determine whether or not the given relation on A is
(i) Reflexive
(ii) Transitive
(iii) Anti-symmetric
(Justify your answer)

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