Define a function S: Z+Z as follows: For each positive integer n, S(n) = the sum of the positive divisors of n. Find the following: a. S(1) b. S(15) c. S(17)

Q: Find IR| where R is the relation on the set A = {1,2,-,100} given by R= {(a,b)| azb+30} Select one:…

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Q: Consider a function machine that accepts inputs as ordered pairs. Suppose the components of the…

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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

A: Vertical asymptotes: The line x=L is a vertical asymptote of the functionf(x), if the limit of the…

Q: Given the following piecewise function: 7+ 5 4 -7 -0 -5 -4 -3 -2 -1 -1 1 2 3 4 -2- -3 -5 --6- -7…

A: Solution: The objective is to find the given values from the given graph

Q: Does every one-to-one function has Select one: A. Both A and B B. same number of elements in…

A: In one to one function there is only one y value corresponds t the x value. The elements in the…

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)=…

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Q: Give the greatest integer function of [5.6]

A: The greatest integer function : The greatest integer function is a function that rounds up the…

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 .

Q: Evaluate the following commutators [Â, B] = ÂB – BÂ. Hint: use an arbitrary function that cancels at…

A: a x,PxPx=-ih∂∂xx,Pxφ=x,-ih∂∂xφ=-ihx∂φ∂x+ih∂∂xxφ=-ihx∂φ∂x+ih∂φ∂x+ihφ=ihφ∴x,Px=ih

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: Let A = {a, b, c, d} and f = { (a, 0), (c, 12), (d, 18), (b, 12) }. Is f a function from A to B ?…

A: Given, A = {a,b,c,d} f = {(a,0) , (c,12) , (d,18) , (b,12)}

Q: 3. 41 -1 -2 2.

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Q: Input Output 6. 7 3 8. 10 6. Function: 2. 4.

A: On solving, we get

Q: A. Describe the error in the following: a. 5 is a subset of N b. x>1 and x 1<4 c. Given the function…

A: A. a. ) 5 is not a subset of N, its an element of N. It should be written as {5} is a subset of N.…

Q: Construct the addition table for Zs. Using this table, or otherwise, determine the following x in…

A: Solution

Q: a. For each of the following inputs, find the corresponding output: (1,9), (7,3), (3,7), (√5.√5).…

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Q: If U = {1, 3, 5, 7, 9, 11, 13), then which of the following are subsets of U. pick two three {5, 11,…

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Q: The following relation is a function. {(2, 3), (1, 1), (-2, 1), (3, 2)} True O False

A: A relation is a function if each element in the domain maps to exactly one element in the range. In…

Q: Define a function S: Z+ →Z+ as follows: For each positive integer n, S(n) = the sum of the positive…

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Q: How many one-to-one functions are there from the set A=(1,2,3,4,5) into the set B={1,2,3,4,5,6,7,8)?…

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Q: Define a function S: Z + --> Z+ as follows. For each positive integer n, S(n) = the sum of the…

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Q: b) 0 1 2 3 4 5 y 8 3 0 -1 0 3

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Q: On the set of real numbers x2 + y2 = 1 Function. If x is a real number and y is an integer number:…

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Q: a. UW) = In(W) b. U/W) = w^3 C. U(W) = w13 d. U(W) = 3W. The utilily function, U(Wy= In(W), Implies…

A: (a) The utility function is defined as UW=lnW.

Q: Find the constants A, B, and C such that the following piecewise function is continuous on the…

A: To find the constants A, B, and C such that the following piecewise function is continuous on the…

Q: suppose m>0 is an integer. How many one-to-one functions are from a set of m elements to a set of…

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Q: Give an example of a function from A to B that is one-to-one. e) Give an example of a function from…

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