Define a function S: Z+ → Z+ as follows. For each positive integer n, let S(n) = the sum of the positive divisors of n. a. a. S(1) = b. S(9) = b. Let p be a prime number. What is S(p), with S as defined above? Explain your answer.

Q: d) Is the composition of two one-one functions a one-to-one function? e) Is it true that P(A) ≤ A?

A: For part (d), the answer is YES.

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: How many injective functions are there from {1, 2} to {a, b, c, d}?

A: Let and .We have to determine the number of injective functions from  to .

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Q: Let X= {p, q, r, s, t}, Y= {1, 2, 3}. how many one-to-one function are there from Y to X.

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Q: . Use a calculator or a spreadsheet to find f 1q2 for thevalues of q given in the following table.

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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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Q: Simplify the following Boolean function F, together with the don't-care conditions d, and then…

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Q: Given x = {5,10,15,20,25,30} and y function from X to Y. Let f(5) = 400, f(10) = 100, f(15) = 500, f…

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Q: Evaluate

A: