Let f, 9,h: Z Z. f(x)= 2", g(x) = x², h = [4]. What is fohog(3) %3D
Q: Let g(n) = 13 + g(n) = 0(n4) giving the constants. + 23 + + n3. Show that %3D
A: According to principle methemetical induction 13 + 23 + 33 + … + n3 = (n(n+1)2)2 On Solving this we…
Q: Let f(n) = 2n – n² + 10n – 7. Show that f(n) is O(n³) using specific values of C and no-
A: Let f(n) = 2n3 − n2 + 10n − 7. Prove that f(n) is O(n3). using specific values of C and n0.
Q: The following adjacency matrix describe the distance between 7 countries in unit of (100 miles) A B…
A: Here in this question we have given a graph and we have to apply dijkstra algorithm on it.given that…
Q: T=4, n=12 and A=(3,5,8,8,9,16,29,41,50,63,64,67). Draw the corresponding walkthrough as shown in…
A: According to the information given:- We have to follow the algorithm in order to solve the target…
Q: we know that P(A) = 1/4, that P(B) = 1/2, ar P(B|A) = 1/2, what is P(A|B) ? and that
A: Solution P(A/B)= 1/4 Conditional probability Probability of A happened given that B is happened…
Q: Given the shortest side of a 30° by 60° by 90° triangle, find out the other two sides. Return the…
A: In this problem, we need to design the JAVA program. Input - one argument Output - integer logic…
Q: Let U = {0, 1,2, ...,9}, A = {1, 2, 5, 8, 9}, B = {0, 1, 3, 4}, and C (AU B) nC = AU (Bn C) = A – (B…
A: Set Operation: Union: It is denoted by ∪ symbol. Let's take two sets A & B, then A∪B contains…
Q: with n=6 and A=(3,5,4,1,3,2). Draw the corresponding walkthrough as shown
A: The answer given as below:
Q: Given x=[1 1 0] and y=[1 0 2] find h[3] of h[n]=x*y O 2 O 1 O 3
A: Answer : Option D
Q: 4- if q=[1 5 6 8 3 2459 10 11,x=[ 35783124 11 5 91. then: a) find elements of (q) that are greater…
A: 1. In matlab if we want to filter data based on condition we can use condition in index and that…
Q: 1- If A=[1,2; 3,4], and B=A*2; then A*B=? O [14, 30; 28,44] O [14, 30,20,44] O [14, 20; 30,44] O…
A: Answer in step 2
Q: Find y[n]=x[n]*h[n] x[0] = 2, x[1] = 3, x[2] = 5, x[n] = 0 for all other integers (n). h[0] = 2 ,…
A: Introduction Given x is an array of values and x[0]=2, x[1]=3, x[2]=5, x[n]=0 , for all other…
Q: Given the shortest side of a 30° by 60° by 90° triangle, find out the other two sides. Return the…
A: Algorithm - Create a method with one integer as an argument. Now use the below logic return new…
Q: Q2) Consider a random variable X which takes values as shown in the table below: X1 X2 P (X) 0.35…
A: Huffman code/encoding is a type of lossless data compression algorithm. Instead of assigning the…
Q: The following adjacency matrix describe the distance between 7 countries in unit of (100 miles) A B…
A: Brie introduction: The Dijkstra algorithm is one of the most popular algorithms for solving many…
Q: Question 1: Let U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 4, 6, 8, 10}, and B = {1, 3, 5, 7,…
A: Here in this question we have given three set and U ={1 ,2 ,3, 4, 5, 6, 7, 8, 9, 10} A={1, 2 ,3, 4,…
Q: Given the shortest side of a 30° by 60° by 90° triangle, find out the other two sides. Return the…
A: Since the programming language is not mentioned, I have done the code using C language.
Q: The following adjacency matrix describe the distance between 7 countries in unit of (100 miles) C 10…
A: Answer is given below .
Q: Let U={1,2,3,4,5,6,7,8,9}, A={2,4,6,8}, then
A: I Have answered this question in step 2.
Q: For example, given [10, 15, 3, 7] and k of 17 , return true since 10 + 7 is 17.
A: I have given the c++ code below.
Q: With T=4, n=12 and A=(3,5,8,8,9,16,29,41,50,63,64,67). Draw the corresponding walkthrough as shown…
A: According to the information given:- We have to solve this on the basis of sample given,
Q: You are given n points P= {P1, P2,, Pn} on 2D plane, represented as their coordinates. You are…
A: Minimum perimeter of the required wall will be equal to the minimum perimeter of convex hull for the…
Q: Find f(1), ƒ (2), ƒ (3), and f (4) if ƒ (n) is defined recur- sively by f(0) = 1 and for n = 0, 1,…
A: As per our guidelines, only one question or three sub parts will be answered. So, please repost the…
Q: Suppose f:RZ where fx=2x-1. If A={x |1x 4}, find f(A). If B={3,4,5,6,7}, find f(B). If C={-9, -8},…
A: Answer is given below .
Q: Let H(k) be the 2k * 2k defined recursively as follows: H(0) = [1]1.1 [H(k-1) H(k − 1) H(k)= H(k-1)…
A: Answer: Explanation:
Q: Let M = ({q0, 91, 92}. {0, 1}, {0, 1, b}, 8, qo. {q2}) where & is given by d(q0. 0) = (41, 1, R)…
A: Let's understand step by step : Turing machine is having 7 tuples : T(M) = {Q , Σ , T , B , δ , q0…
Q: Consider the following chain of matrices M1-M4 having the dimension given below: A →2 x 3 A2 → 3x5…
A: The Answer is
Q: Find: f(f(f(14)), given the following definition: [FF(x- 2) – 2) f(x)= - (x+1 if x212 if x<12 O 8 10…
A:
Q: Consider the field f = X8+ X¹ + X³ + X + 1. (a) Find the inverse of X7 + X³ + X2 + 1 using the…
A: It is an efficient method to calculate the greatest common divisor (PGCD) of two integers (numbers),…
Q: 4. if q=11 5 6 8 3 2 459 10 11,x-t 3578 3124 11 5 91. then: a) find elements of (q) that are greater…
A: Note - Since the question is not specific about which language is to be used to solve the question ,…
Q: Reduce the following Boolean expression using K-Map:- F(U,V,W,Z)= T(0,2,5,7,12,13,15)
A: Here we need to simplify or reduce the given Boolean expression and draw the K map by using the…
Q: (a) Show that 3x(Px x Px). (b) Show that {Qx,V y(Qy → Pz)} EX Px.
A: The solution for the above-given question is given below:
Q: 4. Consider f(n) = 3n2 + 4n – 3, mathematically show that f(n) is O(n?), 2(n²), and O(n2).
A:
Q: n-17 .. n. For example, if n = 4 and k = 2, a solution is: [ [2,4], [3,4], [2,3], [1,2], [1,3],…
A: Machine independent language :- > the language which does not depend on the computer or its parts…
Q: Apply Greedy search to find the shortest path between S and d or c* S 3 2 3 b a 3 5 3 2 d h(s) h(a)…
A: the greedy approached path from S to b or c is in step2.
Q: Let f(n) = n2 and g(n) = 3n2 - 6n +4. Show that g(n) = 0(f(n)) by showing that there exist positive…
A:
Q: with n=6 and A=(3,5,4,1,3,2). Draw the corresponding walkthrough as shown in P.158
A: In this question, we have to sort elements using bubble sort. And we have to draw walkthrough of…
Q: Consider the following algorithm, which takes as input a sequence of n integers a_1, a_2,… , a_n and…
A: (a) As you can see, to compute the matrix M we need min(mij,mk), for this we need 3 for loops of i,…
Q: You are given n points P= {P1, P2, *, Pn} on 2D plane, represented as their coordinates. You are…
A: To Do: To write the algorithm.
Q: Let G = ({S. C}, {a, b}, P, S), where P consists of S→ Find L(G). аСа, С — аСа | b.
A: S -> aCa C ->aCa|b Therefore expanding it, S -> a C a -> a a C a a -> a a a C a a…
Q: Q1: Given the following table: 1 1.5 2 3 3.5 f (x) | 0|0.17609 | 0.30103 | 0.4772 | 0.54407 A.…
A: A) Construct the table of Newton divided difference Computing divided differences using divided…
Q: 1. Suppose H = {cat, dog, rabbit, mouse}, F = {dog, cow, duck, pig, rabbit} W = {duck, rabbit, deer,…
A: Suppose H = {cat, dog, rabbit, mouse}, F = {dog, cow, duck, pig, rabbit}, and W = {duck, rabbit,…
Q: Consider the following uniformly distributed random numbers. Generate an exponentially distributed…
A: Lets see the solution.
Q: The following adjacency matrix describe the distance between 7 countries in unit of (100 miles) DE…
A: Brief introduction: The Dijkstra algorithm is one of the most popular algorithms for solving many…
Q: (Basic) Consider a sequence of integers defined by the following recurrence: f(0) = 0, f(1) = 1, and…
A: Dynamic programming is an approach to enhancing recursion. Sometimes a problem contains an…
Q: Given the shortest side of a 30° by 60° by 90° triangle, find out the other two sides. Return the…
A: In this problem, we need to design the JAVA program. Input - one argument Output - side lengths
Q: Let U=(2,-1,0,-3) ,V=(1,-1,-1,3) and W=(1,3,-2,2) then U.V is:
A: Lets see the solution.
Q: Part B. Arrange the following growth functions from the smallest running time to the biggest. 6. 4n…
A: Arranged the given growth functions from the smallest to biggest running time
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Q: Let f(n) = 2n and g(n) = n. a) Show that f is O(g) using specific values of C and no. b) Show that g…
A: Big-O Notation O(n): Let f(n) and g(n) be the two functions described and the function f is said to…
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- Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X BIf S = { x | 0 ≤ x ≤ 10}, A = { x | 1 ≤ x ≤ 5}, B = { x | 1 ≤ x ≤ 6}, and C = { x | 2 ≤ x ≤ 7}(a) S ⋃ C(b) A ⋃ B(d) A’ ⋂ C(c) A’⋃ (B ⋂ C)(e) (A ⋂ B) ⋃ (B ⋂ C) ⋃ (C ⋂ A)3. Let g: ZZ be defined by g(m) = m + 5. Is Is g a bijection? Explain. If g is a bijection, find its inverse.
- Let E = {0, &} and let A = {s | s = Yı&y2& • . . &yk for k > 0, each y; E 0*, and y; Y; for i + j}. Prove that A is not regular.Let E : y2 = x3 + 3x + 4 be an elliptic curve over F37. 1, Find all the elements of the elliptice curve group 2, Find the order of the 3, Find a primitive element of this group and call it G. 4, Compute [30]G = G ⊕ G ⊕ · · ⊕ G (addition of 30 many G’s)Explain the Wronskian determinant test. Using the Wronskian determinant test, write the program using NumPy to determine whether the functions f(x)=e^(- 3x), g(x)=cos2x and h(x)=sin2x are linearly independent in the range (-∞, + ∞). #UsePython
- Prove: Let a, b, and c be integers. If Suppose a, b, c are integers with (a (a - b) | c, then a | c. b) | c. Then c = (a b) for some integer k, so c = ]a, · so a c.IV. Let P(n):n and n + 2 are primes. be an open sentence over the domain N. Find six positive integers n for which P(n) is true. If n E N such that P(n) is true, then the two integers n ,n + 2 are called twin primes. It has been conjectured that there are infinitely many twin primes.If A = {0, 1), B = {1, 2, 3), then (AUB) x B is equal to:
- Ql: The Collatz conjecture function is defined for a positive integer m as follows. (COO1) g(m) = 3m+1 if m is odd = m/2 if m is even =1 if m=1 The repeated application of the Collatz conjecture function, as follows: g(n), g(g(n)), g(g(g(n))), ... e.g. If m=17, the sequence is 1. g(17) = 52 2. g(52) = 26 3. g(26) = 13 4. g(13) = 40 5. g(40) = 20 6. g(20) = 10 7. g(10) = 5 8. g(5) = 16 9. g(16) = 8 10. g(8) = 4 11. g(4) = 2 12. g(2) = 1 Thus if m=17, apply the function 12 times in order to reach m=1. Use Recursive Function.10 Is A-(BU C) = (A-B) (A-C)? Prove it or disprove it.x Bird(x)=Can- Fly(x) This universal quantifier used here implies that Oa. All reptiles cannot fly Ob All that flies is a Bird All Birds can fly Oc. All chicken are birds Od.