To prove big Theta, we must prove both big O and big Omega. For each of the following functions, prove the statement by finding a pair of witnesses that proves big O and a pair of witnesses that proves big Omega. 5n 10 is Theta(n) 3n2 3n 3 is Theta(n2) 6 log n 2 is Theta(log n) 6n5 3n2 n 12 is Theta(nk)

Read the code below. what will the computer print if the input for year_variable is 1700? if year_variable == 1776: print("your answer is correct. the declaration of independence was signed in “year_variable”.") elif year_variable < 1776: compute_variable = 1776 - year_variable. print("add “compute_variable“ years to your answer for the correct answer.") elif year_variable > 1776: compute_variable = year_variable - 1776 print("subtract “compute_variable” years from your answer for the correct answer.")

To check spelling errors in a document, the word application uses the to determine appropriate spelling. internet built-in dictionary user-defined words other text in the document

If you embed a word table into powerpoint, what happens when you make edits to the embedded data? a. edits made to embedded data change the data in the source file; however, edits made to the source file will not be reflected in the embedded data. b. edits made to embedded data will change the data in the source file, and edits made to the source file will be reflected in the embedded data. c. edits made to embedded data don't change the data in the source file, nor will edits made to the source file be reflected in the embedded data. d. edits made to embedded data don't change the data in the source file; however, edits made to the source file will be reflected in the embedded data.