Solve each recurrence below using the 2. Recurrences (Master Method). Master Method and write your answer using e-notation. Make sure that you show all your work including the corresponding case and the values of e or k used. If it is not possible to solve a recurrence using the Master Method, prove it by showing that the form is inapplicable or by showing that all 3 cases cannot be satisfied. (a) T(n)=37(n/2) + n² (b) T(n)=257(n/5)+n (e) T(n)= T(3n/10) + n (d) T(n)= n³T(n) + 2n (e) T(n)= 37(n/3) +n¹/3 (f) T(n)=9T(n/3) + n² lg n (g) T(n)=97(n/3) + nlg³n (h) T(n)= T(n/3)+27(n/5)+n (i) Bonus T(n)=27(√n) + log n

Solve each recurrence below using the 2. Recurrences (Master Method). Master Method and write your answer using e-notation. Make sure that you show all your work including the corresponding case and the values of e or k used. If it is not possible to solve a recurrence using the Master Method, prove it by showing that the form is inapplicable or by showing that all 3 cases cannot be satisfied. (a) T(n)=37(n/2) + n² (b) T(n)=257(n/5)+n (e) T(n)= T(3n/10) + n (d) T(n)= n³T(n) + 2n (e) T(n)= 37(n/3) +n¹/3 (f) T(n)=9T(n/3) + n² lg n (g) T(n)=97(n/3) + nlg³n (h) T(n)= T(n/3)+27(n/5)+n (i) Bonus T(n)=27(√n) + log n

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section: Chapter Questions

Problem 15RP

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