Which of the following is equal to sequence u(n – 2) ? (a) 1- u(-n+1) (b) u(n)- 8(n) (c) 1-u(-n)+8(n) (d) u(n) + 8(n +1)

Q: For each of the following expressions below, write the corresponding Big-Oh complexity Expression…

A: 1. O(2n) 2. O(n7)

Q: 2. The derivation of Fibonacci numbers 1, 1, 2, 3, 5, 8, 13, 21, .. (FIB(N – 1) + FIB(N – 2) If N> 2…

A: We write function named fibonacciRecursion according to the conditions provided and return the…

Q: 2. The derivation of Fibonacci numbers 1, 1, 2, 3, 5, 8, 13, 21, ... (FIB(N – 1) + FIB(N – 2) If N>…

A: Fibonacci series is a series in which the nth element is the sum of previous two elements given that…

Q: 100, n+1, 2log(n), n*ln(n), 2n^2, 2^(n+1), (2n)^n, 2n!, 5n^3, n*3^n.

A: 100 n+1 2log(n) n*ln(n) 2n^2

Q: sum1 = 0; for (k=1; k<=n; k*=2) for (j=1; j<=n; j++) sum1++; sum2 = 0; for (k=1; k<=n; k*=2) for…

A: Рrimitive  орerаtiоns  аre  bаsiс  соmрutаtiоns  рerfоrmed  by  аn  аlgоrithm.  Exаmрles  аre…

Q: 2. Compute the DFT of each of the following finite-length sequences considered to be of length N:…

A:

Q: Order the following in big O :  n², 1.01n, log n²,  n √n,  n log n,  n0.1,  1000

A: Big O complexity: It is used to analyze how complex to solve the program. Using the this complexity…

Q: Choose the appropriate portion to complete the algorithm written to find this summation x2 x+ x6 x8…

A: The correct option is given in step 2.

Q: The sum of first n positive integers is given by: Sn= n (n+1)/2 Sn=2n [2a + (n+1)d] Sn= n(n+1)(2n+1)…

A: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2.

Q: Question 3: prove the followings a). A U (B U C) = (A U B) U C b). A N (B N C)= (A N B) N C c).…

A: - Due to the restrictions we have on our guideline , we are allowed to answer the first three…

Q: Choose the appropriate portion to complete the algorithm written to find this summation x2 x+ x6 +…

A: The algorithm for the series :s=1-x22!+x45!-x68+x811!......xnn!

Q: Put 0, 0, N in the right position, the same as the given example a) n² = ..· (n), solution: n² =…

A: here have to determine about big o, omega, theta of function.

Q: The sum of first n positive integers is given by: Sn= n(n+1)(2n+1) /6 Sn=n/2 [a + (n-1)d] Sn=2n [2a…

A: Correct answer is Sn = n(n+1)/2

Q: Please I want solution for this question fastly. Thanks

A: Take 2 integers for the first 2 terms of the series. Take a variable for the third term which will…

Q: Please I want solution for this question fastly. Thanks

A: The Fibonacci series is the series of the numbers in which the next term is the sum of its previous…

Q: Simplify the following in product of .3 :sums (F(A,B,C,D) = T(4,6,7,8,10,15 %3D (A+B'+D) +…

A: Solution:   correct answer is : Option a) : ( A + B' +D).(B' + C' + D').(A' + B +D )   Given,…

Q: What is the a(3) term of the sequence {a(n)} where a(n) = 2n - 6?

A: Given: What is the a(3) term of the sequence {a(n)} where a(n) = 2n - 6?

Q: 2. Find the sum of the following series 1/2 - 2/3 + 3/4 - 4/5 + 5/6 - ...... n (n is the number of…

A: Since the coding language is not mentioned, I have done the code in C++. Algorithm :  Step 1 :…

Q: Consider the computation of N! = 1 2 3 N. (a) If N is an n-bit number, approximately how many bits…

A:

Q: for (m 10; m <= 11; m++) { cout << "Table of" << m << endl; for (n = 1; n <= 10; n++) {

A: GIVEN CODE int m;    int n;    for(m=10;m&lt;=11;m++){        cout&lt;&lt;"Table…

Q: Put 0, 0, N in the right position, the same as the given example a) n² = .- (n), solution: n2 =…

A: First of all, we need to define the symbols as follows. θ = equal function(average case) O = worst…

Q: Prove a) 1000000n2 + 0.0000001n5 is Ω(n3) b ) n! is Ω(2n) if you use an example c and n PLEASE…

A:

Q: The prefix search of the expression 8 (3- 1) + 2 x 5 is O a. 8 ÷ 3 – 1+2\tims5 O b. +-318 x 25 O c.…

A: Correct Option  d. None

Q: * Write an algorithm to find the value of Y from the following (X!) Y= - 2 2(X!) 3(X!) + 4 +. .N…

A: THE ANSWER IS

Q: For the following questions (c) and (d), assume n is a power of 2, i.e. n = 2k. for (cnt3 0, i for…

A: Find the time complexity using summations method

Q: the value of c, and n such that 2n log n + 5n2 is Ω(n2

A: The value of c and n for the given asymptotic notation

Q: 1. Give asymptotic upper and lower bounds for T(n) (1) T(n) = 20T(n/9) + n'.5 (2). T(n) = 25T(n/625)…

A: Given the following we have to answer in asymptotic Upper and lower bound for T(n).

Q: * Write an algorithm to find the value of Y from the following Y = 4), 2(X!) (X!), 2(X!), 3(X!) +- 3…

A: The algorithm to find the value of y is

Q: Write the answer using A star algorithm h(n) 10 g(n) 12 14 A 6. 5 16 11 C D 4 6. 8. 3, 6. 2 H 1 3 H…

A: A* search is the most widely used informed search algorithm where a node n is evaluated by combining…

Q: For each of the following expressions, find if they are O(1), O(2"), O(n²), O(log n), O(n2022), O(n…

A: Below are the answers with reason:

Q: a) f(n) = 0(g(n)) → f(n) = cg(n)+ o(g(n)), for some real constant c> 0. b) f(n) = 0(g(n)) → f(n) =…

A: Theta(n) ie Θ(n) is nothing but the tighter bound within the two functions.So lets get started with…

Q: Give answer in python language Program to find the sum of series: 1 + x^2/2 + x^3/3 + … x^n/n

A: Given, We have to write a program to calculate the sum of the given series. Series = 1 + x^2/2 +…

Q: mathematical induction that 20 + 21 + ... + 2n = 2n+1 - 1 whenever n is a nonnegative integer.

A: Using mathematical induction that 20 + 21 + ... + 2n = 2n+1 - 1 whenever n is a nonnegative integer-…

Q: Is f (n) = 13n² + 6nyn log(3n²) – 4n logź(5n*) + 2n – 1 in N(n³)? Is f(n) in O(n²)? Is f (n) in…

A: Time complexity means, the time taking to execute the code. There are 3 types of Time complexities,…

Q: Given two numbers: n: number of consecutive letters beginning at a k: string length Output all…

A: Given two numbers: n: number of consecutive letters beginning at a k: string length Output all…

Q: Write the iterative algorithm for reaching definition. Compute in and out for the following figure.…

A: Below i have gi

Q: 7. Given: $10=a, $t1=b. $t2=c c : 5; 8. Given: $t0=a, $t1=b a : b; 9. Given: $s0 =h, $s1=b. $s2=c.…

A: The question is on translate java statements into MIPS assembly language.

Q: 1. T(n) = 3T([n/2]) +n 2. T(n) = 2T(n-1) + 1 3. T(n) = T (4) + T (A) +r (;) + n %3D

A: B1)T(n) = 3T(n/4) + cn2 Note that the number of levels = log4 n + 1 Also the number of leaves =…

Q: (5) T(n) = 2 T(n/2)+n/log n (6)T(n) a T(n/b) + n log n %3D (7) T(n) = log 1 + log2 + log3 + + log n…

A: Note: In part 6, a and b is not given . so, we can not decide on that .. Master Theorem  Case-02:…

Q: Simplify the following in product of .2 :sums (F= (A+B+C) (B + C') (A+C (A + B') (B + C) ('A + B) (B…

A: Given : F = (A+B+C)(B+C')(A+C) The task is to simplify the expression F.

Q: m = 0; for( i = 1; i < n*n; i++ ) for( j = 1; j< =2 ) if( j % i == 0 ) for( k = 0; k < i; k++ ) %3D

A: . sum = 0; for(i = 1; i &lt; n*n; i++) for(j = 1; j &lt; i * i* i; j*=2 ) if( j % i == 0 ) for( k =…

Q: Choose the appropriate portion to complete the algorithm written to find this cummation x+ x6 x8 +…

A: Algorithm contains the set of instruction used to process the task.  For X=2 and N=3, the above…

Q: T(N)= 5N2 + N – 10 O(N^2) - %3D T(N) = (N+25)log(N) O(NlogN) T(N)= N + 2N-1 %3D O(2^N) T(N) = N2 +…

A: In big O notation we find the worst case time complexity of function f(n). In order to find this we…

Q: The Big Theta of (5 N²+12 N log N and 0.5 N²+ 3 N) is N² Select one: True or False.

A: The Big Theta of (5 N²+12 N log N and 0.5 N²+ 3 N) is N² Select one: True or False.

Q: (1)T(n) D2 T(n/2) +n+ log n (2)T(n) = 2 T(n/2) +n log n (3)T(n) D2 T(n/2) + n log n

A: Tight asymptotic upper bounds for T(n) in each of the given recurrences

Q: java WAP to take an integer from user and print n*(n-1)*(n-2)

A: Requirement :- java WAP to take an integer from user and print n*(n-1)*(n-2) Approach :- take user…

Q: Let be ⊕ a binary operation on N. This is true about ⊕. 1. ∀a ∈ N, a ⊕ 0 = 0 2. ∀a, b ∈ N, a ⊕ b = b…

A: We are given binary operation on N and we are given few statements and we have to see which one is…

Q: Given f(n) ∈ Θ(n),  prove that f(n) ∈ O(n²). Given f(n) ∈ O(n) and g(n) ∈ O(n²), prove that…

A: Asymptotic notations (Θ, O, Ω) compares a time complexity function with another standard function…

Q: Choose any number as n, output all n-digit binary numbers which have equal total in right and left…

A: Since you have not mentioned programming language I'm doing this in c++

Q: Let f(n) = n Let g(n) = log(n³) What is the asymptotic relation between f(n) and g(n)? Check all…

A: Given: To choose the correct option.