Function Growthi Organize the following functions into six columns. Items in the same column should have thesame asymptotic growth rates (big-O). If a column is to the left of another column, all itsgrowth rates should be slower than those of the column to its right.n2, n!, log, n, n log, n, 3n, 5n² + 3, 2", 10000, n log3 n, 100n, 3logznii Using the definition of big-O, show 100n + 5 = 0(n). Give a particular e and no.iii Using the definition of big-O, show that n =O(2"). Give a particular e and no.iv Identify a function f(n) which has 3n + 4n? + 3n!n = 0(n!) and n² = O(n!).O(f (n)). You may use the facts that

i Organize the following functions into six columns. Items in the same column should have the same asymptotic growth rates (big-0). If a column is to the left of another column, all its growth rates should be slower than those of the column to its right. n², n!, log2 n, n log2 n, 3n, 5n² + 3, 2", 10000, n log3 n, 100n, 3log3n ii Using the definition of big-O, show 100n + 5 = 0(n). Give a particular e and no. %3D iii Using the definition of big-O, show that n = 0(2"). Give a particular e and no- iv Identify a function f(n) which has 3n + 4n? + 3n! = n= 0(n!) and n² = 0(n!). O(f(n)). You may use the facts that

i Organize the following functions into six columns. Items in the same column should have the same asymptotic growth rates (big-0). If a column is to the left of another column, all its growth rates should be slower than those of the column to its right. n², n!, log2 n, n log2 n, 3n, 5n² + 3, 2", 10000, n log3 n, 100n, 3log3n ii Using the definition of big-O, show 100n + 5 = 0(n). Give a particular e and no. %3D iii Using the definition of big-O, show that n = 0(2"). Give a particular e and no- iv Identify a function f(n) which has 3n + 4n? + 3n! = n= 0(n!) and n² = 0(n!). O(f(n)). You may use the facts that

COMPREHENSIVE MICROSOFT OFFICE 365 EXCE

1st Edition

ISBN:9780357392676

Author:FREUND, Steven

Publisher:FREUND, Steven

Chapter6: Creating, Sorting, And Querying A Table

Section: Chapter Questions

Problem 10EYK

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Please explain, Growth of Functions Organize the following functions into six columns. Items in the same column should have the same asymptotic growth rates (they are big-O and big-Θ of each other). If a column is to the left of another column, all its growth rates should be slower than those of the column to its right. n2, n!, n log2 n, 3n, 5n2 + 3, 2n, 10000, n log3 n, 100, 100n
Compute and print the sum and average of a collection of floating-point data items numItems, numItems, numItems sum average sum, sum numItems average Read the number of data items Compute the sum Compute the average Print the sum and the average computeSum computeAve printSumAve You have been asked to accumulate a sum and to average a list of data values using functions. Because these tasks surface in many problems, design a general set of functions you can reuse in other programs. • The problem is described and analyzed in the lecture slides. You will prompt a user to enter some numbers that you will accumulate, find their sum and average. You will rely on the functions in the accompanying figure to accomplish this. You will display the sum and average of these numbers before you exit the program. Upload a file with the source code of your program after you have tested it. Show me a working program during the lab or during my office hours.
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