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■sider the following recursive algorithm: orithm Eu-seful (time, x,y) f x < time: study math Eu-seful(time, 2x+3y, x) lse: print("My brain is fried.") n be the number of times you study math on a call to Eu-seful(time, 2, 1). We 2+ log, (time), Vn ≥ 2. For the inequalities below assume that n ≥ 2. Use th from the previous question. . Prove that T ≤ time ≤ Tn+1. . Prove that 32-2 ≤ Tn.

■sider the following recursive algorithm: orithm Eu-seful (time, x,y) f x < time: study math Eu-seful(time, 2x+3y, x) lse: print("My brain is fried.") n be the number of times you study math on a call to Eu-seful(time, 2, 1). We 2+ log, (time), Vn ≥ 2. For the inequalities below assume that n ≥ 2. Use th from the previous question. . Prove that T ≤ time ≤ Tn+1. . Prove that 32-2 ≤ Tn.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Please Answer ALL parts of this question from a discrete maths textbook. *This is not graded work, it is practice

Consider the following recursive algorithm: Algorithm Eu-seful (time, x,y) if x < time: study math Eu-seful (time, 2x+3y, x) else: print("My brain is fried.") Let n be the number of times you study math on a call to Eu-seful(time, 2, 1). We will prove that n ≤ 2+ log;(time), \n ≥ 2. For the inequalities below assume that n ≥ 2. Use the definition of Tn from the previous question. 1. Prove that T ≤ time < Tn+1. 2. Prove that 32-2 ≤ Tn. 3. Using the inequalities from above, prove that n ≤ 2+ log3 time.
Transcribed Image Text:Consider the following recursive algorithm: Algorithm Eu-seful (time, x,y) if x < time: study math Eu-seful (time, 2x+3y, x) else: print("My brain is fried.") Let n be the number of times you study math on a call to Eu-seful(time, 2, 1). We will prove that n ≤ 2+ log;(time), \n ≥ 2. For the inequalities below assume that n ≥ 2. Use the definition of Tn from the previous question. 1. Prove that T ≤ time < Tn+1. 2. Prove that 32-2 ≤ Tn. 3. Using the inequalities from above, prove that n ≤ 2+ log3 time.
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