1. Let X be a set and AC X a subset of X. The characteristic function XA is a function with domain X with value 1 for the elements of A and 0 otherwise, in other words: XA: X + {0, 1} So if a ¢ A l1 if a E A XA(x) = (a) For X = Z6 and A = {0, 1,5} write a table of values for XA- (b) For X = {a, b, c, d, e, f, g, h} and A = {a, e, f, 9, h}, provide reasons to show if XA bijective or not. %D %3D (c) Prove that XA(x) = 1- XA(x) for every set X and subset A.

Q: 5. Find the V.A. and H.A. of the function 6-9x Sex a). f(x) : b). f (x) : 2x+5 2ex-1

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Q: 1. State the properties of the Bassel function.

A: Here are some properties of Bassels Function

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A: Given equation - x = y2+5Let's solve for y =- y2 = x-5y = x-5       ........(1)

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