Let X = {n E N :0

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

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Q: Refer to the following functions: p(x)=x²+2x-15 x+1 q(x) -- r(x) -√7x Which of the following…

A: Solution :-

Q: a. The population P() of a culture of bacteria is given by P(t) = 5000(2)4, where t is the time in…

A: Given P(t)=5000(2)t4 Basic function with base e is y=a(e)x Lets pick up some points from the given…

Q: P(h) = 15h, where h represents the number of hours worked that day. Last week, he worked 2 hours…

A: We will select all the statements that satisfy.

Q: If 1(x) is a function that counts number of prime numbers, then find (38.4) A) 10 B) 11 C) 12 D) 14

A: In the given question we have to find the the value of π(38.4) but before the answer we know about…

Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove that the relationship is…

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Q: Consider the recursively defined function: f(0) = 2 , f(n) = 2f(n-1) +5 where n   is an integer…

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Q: Answer all a

A: Substituting x = -5 in the given functions, we get i).  ii).

Q: The function h is the reverse process of f. a. Fill in the following table to represent the…

A: NOTE: Refresh your page if you can't see any equations. . the function h subtracts 5 from each value…

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: f(x) = √21 - 4x - x²

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Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove the following: f(C) -…

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

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Q: How

A: We know that, If a function f: A → B where |A|= n and |B|=m then there are total mn function. Here,…

Q: Determine the domain of the function. f(x) = In (81 – x²) - (Give your answer as an interval in the…

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Q: (a) Calculate lim f(x) if it exists. If it does not exist write “DNE”. x→4 lim f(x) x →4 - (b) Find…

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Q: 1.Make a table for n=1,2,3,…,10 to compare the functions f(n)=n^2, g(n)=2^n and h(n)=n! and graph…

A: Make table as needed:  n f(n) g(n) h(n) 1 1 2 1 2 4 4 2 3 9 8 6 4 16 16 24 5 25 32 120…

Q: If n represents the width (in inches) of the cropped photo, define a function g to determine the…

A: Given n represents the width (in inches) of the cropped photo.

Q: a. Define a function k that determines the total number of square feet Brian needs in terms of the…

A: a) For 1 giraffe, he should allow 9000 square feet of grazing area. Therefore, for n giraffe, the…

Q: einx

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Q: What is the domain of the following function: f (æ)=-3 Z+3 Z-5 %3D a. x # 5, –3 b. a > -3 c. All…

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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: Refer to the following functions g and h. g(n) = n² +n h(n) = n² –n Evaluate each function below: a)…

A: The given functions are gn=n2+nhn=n2-n

Q: Let the rule f(t) represent the number of people, in millions, who own cell phones t years after…

A: At any given f(t) represents the millions of people who own a cell phone in the year 1990+t.

Q: C. Graf the function of y-5x" if n=3 1. O 1 O 2 2. yax' LEVIC

A: Given data Graph the function y=5xn Where , n=3

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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