pls help me with all thanks **Question 1**True or False? For two functions $ f(n) $ and $ g(n) $, if $ f(n) = O(g(n)) $, then $ g(n) = \Omega(f(n)) $.- ○ True- ○ False---**Question 2**True or False? For positive valued functions $ g $ and $ h $, if $ f(n) = O(g(n)) $ and $ g(n) = O(h(n)) $, then $ f(n) = O(h(n)) $.- ○ True- ○ False---**Question 3**True or False? If $ g_1(n) = O(f(n)) $ and $ g_2(n) = O(f(n)) $, then $ g_1 + g_2 = O(f(n)) $.- ○ True- ○ False ### Question 4True or False? If $ g_1(n) = O(f_1(n)) $ and $ g_2 = O(f_2(n)) $, then $ g_1 \times g_2 = O(f_1(n) \times f_2(n)) $.- [ ] True- [ ] False---### Question 5True or False? If $ f(n) = \log_a n $ and $ g(n) = \log_b n $, then $ f(n) = \Theta(g(n)) $.- [ ] True- [ ] False---### Question 6Consider the following variation of the MergeSort algorithm, which we will call MergeSort-3Way. Instead of dividing the input array $ A[1 : n] $ into 2 halves like in MergeSort, in MergeSort-3Way, we divide $ A $ into 3 sub-arrays: $ A[1 : n/3] $, $ A[n/3 + 1 : 2n/3] $, and $ A[2n/3 + 1 : n] $. These sub-arrays are sorted recursively, and the sorted sub-arrays are merged into a sorted array—much like in the MERGE procedure described in class, but now it is a 3-way merge instead of a 2-way merge.The running time of MergeSort-3Way is still $ \Theta(n \log_2 n) $. True or False?- [ ] True- [ ] False

As per the bartleby rules i have to single answer.please post individual then i will help you.

Answered: Question 1 True or False? For two…

Question 1 True or False? For two functions f(n) and g(n), if f(n) = 0(g(n)), then g(n) 2(f(n)). O True O False

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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