Can you find the values of n ∈ Z that the following expression holds using induction n+6 < 1/16 n2-1/2n?
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Can you find the values of n ∈ Z that the following expression holds using induction
n+6 < 1/16 n2-1/2n?
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- Q1: a) For how many n ∈{ 1,2,...,500} is n a multiple of one or more of 5, 6, or 7? b) For how many n ∈ {1,2,...,500} is n a multiple of one or more of 5, 6 ? Please use this formula for both ques formula : n(A+B+C) = n(A) + n(B) + n(C) - n(AB) -n(AC) -n(BC) + n(ABC) [ this formula is for 3 digit numbers] { what will be foemula for 2 digits ) please make it clear. tyn is in Omega(n) true or false?Construct a DFA A so that L(A) = L(N) where N is the following NFA:
- Reminder: f € O(g) if there exist integers C > 0 and k > 0 such that f(n) : Select all pairs (C, k) that prove f E O(g) if f(n) = 8n2 + 4n and g(n) = n' O k=2, C=10 O k=1, C=8 k=2, C=6 O k=4, C=9 k=1, C=12How do I show that the following is regular?You have to run Prim's algorithm for the problem defined by adjacency matrix: 1 2 3 4 5 6 7 8 9 1 0 10 9 999 999 17 999 999 999 2 10 10 3 9 11 0 14 4 2 999 999 13 999 14 0 7 999 999 999 999 999 4 999 4 7 0 999 2 8 999 999 567 999 2 999 999 0 6 999 1 999 17 999 999 2 6 0 999 7 999 999 999 999 8 999 999 0 11 4 8 999 13 999 999 1 7 11 0 8 9 999 999 999 999 999 999 4 8 0 1. We started from the vertex vl, so initially we have Y = {v1}: initial nearest 1 2 3 4 5 6 7 8 9 16 1 1 1 1 1 1 1 1 distance -1 10 9 999 999 17 999 999 999 Print out the values stored in the nearest and distance arrays after first iteration of Prim's algorithm. Specify the value of vnear and the next vertex that has to be added to Y Hint: use (copy) the table above to record your answer.
- What will be values of AL, AH, and BL after the following piece of code is excuted? Answer in decimal mov (100, AX);mov (9, BL);div (BL);Is the following statement true or false? For every real number x, [x²] = [x]². If the statement is true, enter TRUE below; if it is false, enter a value for x that could be used for a counterexample.please answer this