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9 Assignment Brief and Guidance: Activity 01 Part 1 1. Let A and B be two non-empty finite sets. If cardinalities of the sets A, B, and AnB are respectively 72, 28 and 13, then find the cardinality of the set AUB 2. Ifn( A-B )=45, n( AUB )=110 andn( AnB )=15, then find n(B). 3. If n(A)=33, n(B)=36 and n(C)=28, find n( AUBUC ). 10 Part 2 1. Write the multisets of prime factors for the given numbers. I. 160 II. 120 III. 250 2. Write the multiplicities of each element of multisets in part 2(1-I, ii, iii) separately. 3. Find the cardinalities of each multiset in part 2-1. Part 3 1. Determine whether the following functions are invertible or not. If it is invertible, then find the rule of the inverse + 26+26:4 "! ii. f:9*- 92+ f ( x )=x2 f (x )=/ iii. f:R*- R+ iv . 1 f ( x ) =x2 f ( x )=sin x . f : 0,71 + -2,2) f (x)=2cosx