QUESTION 9 Algorithm 1 has the time-complexity function fn) = 100000n/n +n. and Algorithm 2 has the time-complexity function f2(n)=nyn+1000000log,(n). Under very large input n, which of the following statements is true? O Algorithm 1 is slower than Algorithm 2. The two algorithms are equally fast. We cannot tell from the given information. Algorithm 2 is slower than Algorithm 1.

QUESTION 9 Algorithm 1 has the time-complexity function fn) = 100000n/n +n. and Algorithm 2 has the time-complexity function f2(n)=nyn+1000000log,(n). Under very large input n, which of the following statements is true? O Algorithm 1 is slower than Algorithm 2. The two algorithms are equally fast. We cannot tell from the given information. Algorithm 2 is slower than Algorithm 1.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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CLO3: The following graph represents the growth functions of two different algorithms. Use the graph to answer the questions follow: Function's Growth 140 120 100 80 60 20 1 2 3 4 5 6 7 9 10 11 8 FF-5*x+14 for agor thm B Gx)= x*2 for algorithm A 1) Which algorithm, A or B, performs better when (problem size) n is less than 7? (a 2) Which algorithm, Aor B, performs better when (problem size) n is greater than 7? 3) What can you conclude about the performance of the two algorithms when (problem size) n= 7?
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QUESTION 9 Suppose that algorithm one has time complexity f,(n) = 500n and algorithm two has time complexity f2(n)=n*. Which algorithm would you expect to be faster for large input? Algorithm one is faster. Algorithm two is faster. The two algorithms are equally fast. We can not tell from the information given.
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5. What is a homogeneous linear recursion of degree k? What is an auxiliary equation of this recursion? Describe the general term formula of a homogeneous linear recursion of degree 3 if its auxiliary equation has a root a of multiplicity 3.
3 (a) Using Euclid's algorithm, solve the equation [25]57 X = [4]57 for X € Z57. Show your working. (b) Find all solutions to the equation [50]114 Y = [8]114 for Y Z114. Justify your answer. [Hint: for part (b) you should notice that ([50]114)-1 doesn't exist. Instead, write out what the equation means in terms of ordinary integers, and then relate it to part (a).]
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Monday's date will be 4/17, Hint: Use Fermat's Little Theorem. Please don't use AI technologys like. Chstgpt
Example 1.5.4, the decimal 0.101001000100001000001..., is related to an 1844 construction by Joseph Liouville, who proved that the number is transcendental. The decimal expansion of Liouville's number can be thought of as a sequence of blocks, each block consisting of a digit 1 followed by a string of zeros. Liouville's example differs from Example 1.5.4 because now the strings of zeros increase in length extremely fast. Let j be the number of times the digit 1 appears in the first 50 decimal places of the number in Example 1.5.4, and let k be the number of times the digit 1 appears in the first 50 decimal places of Liouville's number. Then j - k = 1 1 10n! 3 5
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