11. Here we consider two functions that are defined in termsof the floor and ceiling functions.(a) Let f(n) = [] + [3] for n € N. Calculate f(n)for 0 ≤ n ≤ 10 and for n = 73.(b) Let g(n) = [] [] for n e Z. g is the charac-teristic function of some subset of Z. What is thesubset?

11. (a) Given, f(n)=n2+n3 for n∈ℕ.

Answered: 11. Here we consider two functions that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The following is a function given in table form. Use the table to evaluate the function and apply the operations of functions given for parts a., b. and c."
In a small country consisting of 5 provinces, 300 federal judges are apportioned according to the population of each province. The population of each province is shown for the years 1995 and 2000. Province A B C D E 1995 Population 25,312 8,911 11,451 33,611 15,932 2000 Population 26,011 9,732 12,678 35,977 17,311 Does the population paradox occur using Hamilton's method of apportionment? YES OR NO
Page of 2 5. The following piece-wise function summarizes the tax levied by the United States government on the adjusted gross income earned by a head of household in 2020. if x 311,025 (0.10x | 1,413.00 + 0.12(x-9.900) 6.159.00 + 0.22(x- 53,700) { 13,164.00 + 0.24(x - 85,550) 31.824.00 + 0.32(x - 163,300) 45.920.00 + 0.35(x- 207.350) 82,206.25 + 0.37(x - 311.025) T = Calculate the income tax levied by the United States government on a head of household taxpayer in 2020 on a taxable income of a. $195.900. b. $28,050.
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Which of the following is a function one-one from the set A = {1,2,3} to B = {4,5,6} is: (Explain) A. {(1,4), (2,5), (3,4)} B. {(1,6), (2,4), (3,4)} C. {(3,5), (2,4), (1,5)} D. {(3,4),(2,5),(1,6)}
The graph shows the salary comparison of Miguel and Christian, who both work after school washing cars. Miguel's earnines are defined by the function fix), and Christian's earnings are defined by the function go), where x is the total number of hours worked. Salary Comparision 75 60 fx) -glx) 45 30 15 05 1 1.5 When will Miguel's earnings exceed those of Christian? O after 1 hour O after 1.5 hours O after 2 hours O after 2.5 hours https://student.masteryconnect.com/ Type here to search
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Find the domain of the function, and then determine for each of the indicated interval whether the function is continuous on that interval.
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IH 4(A)- Marketing - Pat x IH ESPIIPracticeSaber&x O Mail - Carlos Beltran -M X n/courses/643367/quizzes/970776/take For the following piece-wise function, decide if each of the statements is true or false. Statement a. From A to B, the Restricted Domain is -3>x>-1. b. From B to C, the equation is y = 2x + 0.5. 3 c. From C to D, the equation is y = 7. d. To the right of E, the equation is y = 3x - 3. e. To the right of E, the Restricted Domain is x<8.

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11. Here we consider two functions that are defined in terms of the floor and ceiling functions. (a) Let f(n) = []+[] for ne N. Calculate f(n) for 0≤ n ≤ 10 and for n = 73. (b) Let g(n) = []-[] for n e Z. g is the charac- teristic function of some subset of Z. What is the