Problem 1. (a) Describe an algorithm that finds the sum of all the integers in a given listof n integers.(b) Find the running time function T(n) of this algorithm.Problem 2. Bring the following functions in the inereasing order according to their growthrate: (V2)logn, n², n!, log(n5), n2". All logarithms are to the base 2.Problem 3. Use the definition of "big-O" notation to show that x+ 4x2 + 2x +6 is O(x³).Problem 4. Using prime factorization, find gcd(120, 500) and lcm(120, 500).Problem 5. Convert 1011100 from binary to hexadecimal notation.

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Problem 1. (a) Describe an algorithm that finds the sum of all the integers in a given list of n integers. (b) Find the running time function T(n) of this algorithm.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Problem 1. (a) Describe an algorithm that finds the sum of all the integers in a given list
of n integers.
(b) Find the running time function T(n) of this algorithm.
Problem 2. Bring the following functions in the inereasing order according to their growth
rate: (V2)logn, n², n!, log(n5), n2". All logarithms are to the base 2.
Problem 3. Use the definition of "big-O" notation to show that x+ 4x2 + 2x +6 is O(x³).
Problem 4. Using prime factorization, find gcd(120, 500) and lcm(120, 500).
Problem 5. Convert 1011100 from binary to hexadecimal notation.

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