Let f(n)=7n²+16n+ 5. Let g(n) = (0.02)√17n³ +5n² - 8n - 19. Is the following true or false: f(n) € 0 (g(n)). O True False
Q: Let a be an integer such that a = 4 mod 12. Use the definition of mod to prove that a² = 4 mod 12-
A: Solution-: a≡4 mod 12a2=(4)2 mod 12 =16 mod 12 =4 mod 12
Q: Briefly describe a method to calculate logarithms in base 2 and 10 using that calculator
A: Most of the calculators only have a logarithms with base 10 or base e on them. Hence in order to…
Q: What is the value of the following summations? - Σ(2) k==7 5 j ΣΣ (+1) j=0 k=0
A: a) Given that ∑k=−77(k2)…
Q: x is congruent to 21 mod 8. Then x is
A: Given that x is congruent to 21 mod 8 this means that: X is congruent to 21 and 8.
Q: SA3: If f(N) runs in O(N**2), and f(2000) takes 3 seconds, how long would we expect f(6000) take?
A: with the given data calculated how many seconds will take to f(6000) below
Q: Which statement is true? • not deciable• log(2) n < O (√n)• log(2) n = O (√n)• log(2) n > O…
A: STEP-1 The correct is (" log(2) n > O (√n)") Option("4")
Q: Decide if the following Boolean expression has a solution: p = (X1 v X2 v ¬x1) ^ (x2 v ¬X3 v X1) ^…
A: We have to simplify the given boolean expression. Using different boolean properties, we can find…
Q: Suppose f(x) is O(2"). Then f(x) is also (choose all that apply): O 0(x*) O 0(1) O 0(1.5") O O(n!) O…
A: Here we give short and detail explanation on it:…
Q: Q Sum For parts (a)-(e), decide if it is true or false. If the statement is true, then prove it (to…
A: Since you have posted a question with multiple subparts, we will provide the solution only to the…
Q: MOV [BX], 2248H MOV SP, 2006H MOV AX, 2538H MOV SI, 2028H MOV DI 3654H : [BX]=_ 【6】, ;[BX+1]= [7】 ;…
A: According to the question, we have given the assembly language code and we have to find the…
Q: Let a and b be integers. Then a divides b if and only if: O ab-k for som integer k O you can't…
A: Answer is in next step.
Q: Big-O notation is defined as follows: The function f(n) is O(g(n)) if there are positive integers c…
A: Answer :-
Q: et us assume that we only have a calculator that can calculates natural logarithm (i.e., Ln or…
A: The solution is given in the below step
Q: for (k = N; k >= 0; k=k-1) for (t = 0; t <= k; t = printf("C"); Final answer: TCfor-k = O(_ t+9)
A: The Big O notation specifies an algorithm's upper bound. It is a common mathematical notation that…
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- Q2/ If a cubic equation is expressed as ax3 + bx2 – cx + d = 0 C++ and we let A= 18abce – 4b³d + b?c? – 4ac³ – 27a?d? we can determine the nature of the roots as follows A>0 : three distinct real roots A= 0: has a multiple root and all roots are real A< 0: has one real root and two non-real complex conjugate roots Incorporate this into a C++ program to determine the nature of the roots of a cubic expression from suitable input.Roses 1 2 3 4 5 Profit $5 $15 $24 $30 $35 For each positive integer n, let f(n) be the maximum profit that Flora can make with n roses.For example, if n = 10, Flora can make numerous bouquet combinations, including two 5-rose bouquets (total profit of $70), and a 4-rose bouquet with three 2-rose bouquets (total profit of $75). Provide two different algorithms for calculating f(n): one using Recursion, and one using Dynamic Programming. Explain why both algorithms are guaranteed to return the correct value of f(n).Q8 PPLZ,
- Let f (n) and g(n) be positive functions (for any n they give positive values) and f (n) = O(g(n)).Prove or disprove the following statement:7. For n 2 1, in how many out of the n! permutations T = (T(1), 7(2),..., 7 (n)) of the numbers {1, 2, ..., n} the value of 7(i) is either i – 1, or i, or i +1 for all 1 < i < n? Example: The permutation (21354) follows the rules while the permutation (21534) does not because 7(3) = 5. Hint: Find the answer for small n by checking all the permutations and then find the recursive formula depending on the possible values for 1(n).If f = (log n)^2, g = n log n; what is the relationship between f and g? Choose all that applies. a. g= O(f) b. f = O(g) c. g= Ω(f) d. f = Ω(g)
- Please help me to solve problem 28Given the functions T( n) = n? + 3n and F( n ) = 2n², which of the following is the most accurate description of these two functions: O a. T(n) = O(F( n )) O b. T(n) = O(F( n )) O. T(n) = Q(F( n )) O d. None of them is correctIf lim n->oo (f(n))/(g(n)) = 0 then f(n) = ω( g(n) ) true false