Define a function S: Z + --> Z+ as follows. For each positive integer n, S(n) = the sum of the positive divisors of n. (a) S(18) =? (b)S(21) =?

Q: Which of the following expressions has a domain that is a subset of the domain (i.e. set of all…

A: We can find the domain of each function and then find the answer.

Q: Find all values of x for which rank(A) = 2. 2207 A = 8 || -4 -2 x -7 -6 -4 -2 -14

A:

Q: Find the solution to this recursive relation an = an-1+3, a0=1

A: To Find the solution to this recursive relation an = an-1+3, a0=1

Q: Evaluate for f(2), of the table below. Input Output -1 1 3 53474

A: Consider the table

Q: If P (A)=0.6, P (B)=0.1, and A and B are mutually exclusive, find P (A or B).

A:

Q: Find the solution to this recursive relation  an=2nan-1, a0=3

A: Given that  an=2nan-1, a0=3 To find the solution of this recursive relation

Q: The population, P, of a certain village from 1960 to 1980 can be calculated using the function P(t)=…

A:

Q: The nth triangular number is the sum of all the integer numbers from 1 to n. For example, the…

A: Triangular number is sum of all integer number from 1 to n

Q: Find the Domain of 1, if f(=) 0(s-6) %3D O Domain: y is all real numbers O Domain: y N0 O Domain: NO…

A: Given f(x)=6(x-6)2 To find f-1, assume y=f(x) then swap variables to find f-1

Q: Let f(x)= = -2 x²+3x O Only 0 O Only 3 O Only -3 Only 0 and 3 What values of x have to be excluded…

A: given  f(x)=-2x2+3xfor domain  x2+3x≠0

Q: Let the score on Fred’s first exam be q, the score on his second exam be s, and the score on his…

A: Score in first exam = q Score in second exam = s Score in third exam = t Total score = q + s + t…

Q: Suppose you are given the following two sums: 19 Find ) (3aj + 2b;). j=1 19 Say = 4 TAT 19 b, = 6

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Let A {a, b, c, d, e} and B = {1, 2, 3}. a. Find the number of 1-1 functions from A to A b. Find the…

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: 43x - Let h(x) x + 8 Evaluate h(6): h(6) = Determine x when h(x) = 8

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Q: Find a → evaluation for the function (4n+1) 8¹ogn

A: Solution: f(n) = (4n + 1)8log n        = (4n + 1) (23)log n              [here , we assume base of…

Q: 0-64 N

A:

Q: The following table gives the number of American households (in millions) with cable TV in year t.…

A: image is attached