In quick sort, for sorting n elements, the n/4th smallest element is selected as pivot using an O(n) time algorithm. What is the worst case time complexity of the quick oblem-47 sort? (A) O(n) (B) O(nLogn) (C) O(n²) (D) O(n²logn)
Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...
A:
Q: 5. Let P2 be the vector space of polynomials of degree at most 2. Determine if the vector v = = 10x ...
A: Consider the given vector v is in the given subspace. Consider the real numbers a, b such that the v...
Q: 3. Find the solution of the given initial value problem using MVP: y(2) – y() – 2y = 4e¬2*(2 + e-2*)...
A:
Q: _, b = a = 16
A: For a right angled triangle, using the Pythagoras theorem, it can be written that: h2=p2+b2, where h...
Q: Translate the following sentences in words to symbols then state if these sentences are true or fals...
A: We have to translate the sentences in words to symbol.
Q: y' + 4y = cos(t);y(0) = 0 = CO
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...
Q: Find the general solution of the given differential equation using Method of Undetermined Coefficien...
A: Given that y4-4y'''+4y''=3e3x+2sinx-8excos2x We have to find the general solution using the method ...
Q: What is the partial differential equation of the z=xyf((x+y)/2) surface family including p=zx ,...
A: Given: z=xyfx+y2
Q: 2. Find the maximum and minimum of the function f(x,y) 1 subject to the || x² + 2y2 constraint x + 2...
A: Given conditions is unit circle, using parametrization
Q: Use Hous holder's method tofind the domi'anat eigen value ofthe following matrix 2. A = - 1 2. 2. 2.
A:
Q: Use Newton's method to get the third approximation x, to the equation e* =x+3 tarting with x, = 2. D...
A: we have given the equation ex=x+3 we have to use the newton's method to get the third approximati...
Q: Find the maximum and minimum of the function f(x,y) : 1 subject to the x² + 2y² constraint x* +2x²y²...
A:
Q: In a certain year, the probability that a person in the United States would declare personal bankrup...
A:
Q: Show that x2 + 3 and x2 + x + 1 over Q have same splitting field.
A:
Q: What is the solution to the initial – value problem : 4x²y" + 4xy' – y = 0 with y(4) = 2 and y'(4) =...
A:
Q: Find Taylor's expansion of 1 about the point z =- i. i) f(z) = (z + 1)2 2z3 +1 i) f(z) = about the p...
A:
Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)
A:
Q: Construct a matrix system Ax = b, who has a particular solution x, = antd the nullspace of the %3D {...
A:
Q: Prove that for every natural number v ≥ 4 there exists a planar graph with v vertices which has all ...
A: Let v∈ℕ such that v≥4. Therefore there exists a natural number k such that v=4k+r, where 0≤r<4. T...
Q: 8. The base of a solid is the region bounded by the graphs of y =x², x =2, and y =0. (a) Find the vo...
A:
Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector 3B + A. Sketch...
A: We have to find the components, magnitude and direction angle of the vector.
Q: 1 2 1 1. A = 1 -2 -1 -1
A: This is the problem of linear transformation.
Q: Solve the right triangle below, round to the nearest tenth. 13. В A 19 28
A: Since you have posted multiple questions and we can answer one question. So, answered first question...
Q: What is the equation of the curve whose slope at any point is equal to 1 y x +÷+2 and which passes t...
A:
Q: For a function f (x), it is known that f(-2) = -2. Selected values of the first derivative of f (x) ...
A: Euler's Method:- For y' =fx, y the method is yxi+1 = yxi +h y'xi; i=0, 1, 2, ... Here, xi+1 =xi +h ...
Q: Problem 4. Provide example sentences that correspond to the following predicates. a. VV(¬V → W) b. (...
A: Since you have posted a multi subparts question according to guildlines I will solve first three que...
Q: All changes saved 18. For the three-part question that follows, provide your answer to each part in ...
A: We will use calculator to approximate this
Q: Find the QR-factorization of the matrix 1 0 2 2 1 1 A = 1 1 -2 -1 -1
A:
Q: (a) Let N E R. Consider the matrices cos(2) - sin(2) ) sin(N) cos(2) cos(N) sin(N) sin(N) - cos(SN) ...
A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...
Q: Apply Newton's method to the equation f(x) = x² –2 = 0 to estimate the root a* = /2. Starting with a...
A: It is given that the function fx=x2-2. We have to find the approximation of the root x0=2 using the ...
Q: Solving. A. For each figure given below, find all six trigonometric ratios for all angle 0. 8. 1. 2....
A:
Q: solve by power method, to find the smallest eigen value and its corres pondin eig envector for the m...
A: This is a problem of numerical analysis.
Q: 3. Find the solution of the given initial value problem using MVP: 4y(2) – 8y(1) – 5y = x³e2x – 8x y...
A:
Q: Let f "(1) = 5t – 5Vi. (a) Find the most general formula for f"(t). If an arbitrary constant must be...
A: Consider f'''t=5t-5t. To find f''t, f't and ft.
Q: determine the laplace transform of the functions 1. 24x^6
A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...
Q: Fill in the blank with an appropriate word, phrase, or symbol. The voting method in which each candi...
A: The voting method in which each candidate is compared with each of the other candidates is called .
Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x
A:
Q: Let -8 -2 -9 6. 4 8 and w = 1 4 4 -2 Determine if w is in Col A. Is w in Null A?
A: We can solve this using given above information
Q: Find Vf (Gradiant f) for f(x,y, z) = ysinx + yz at p(0,1,2) Please choose one: a.(1, -1.2) b.(-1,1,0...
A: The gradient of a function: f(x, y, z) is defined as: ∇f=∂f∂x,∂f∂y,∂f∂z, where ∂f∂x,∂f∂y,∂f∂z are pa...
Q: I. Find the domain, range, asymptotes (if any) and intercepts of the following functions. Sketch the...
A:
Q: If y, and y, are linearly independent solutions of ty" +4y' + te" y = 0 and if W (y1, y2)(1) = 4, fi...
A:
Q: 3. Use Euler's method to approximate the value of = -2x3 + 12x2 - 20x +8.5 from x = 0 to x = 4. The ...
A: Since you have asked multiple questions, we can solve first question for you. Also first question ha...
Q: = 1 antd the nullspace of the 3 Construct a matrix system Ax = b, who has a particular solution x, {...
A:
Q: Given (1+ 3x sin y) dx – x² cos y dy = 0 with y(1) = 0. Using Euler or Runge – Kutta method, what is...
A: Given 1+3xsin ydx-x2cos y dy=0....(1) with y1=0 We will find the value of fx, y to approximate y
Q: Bipartite graphs Consider the following graph G1 edge set of G1 is E = {(v1, v5), (V1, V6), (v2, v3)...
A: Let G = V , E is bipartite graph. We know that , bipartite graph is a graph whose vertices can be d...
Q: Given the set E:= {0, 1,1 3 2 5 ..}. Then the number 1 is an upper bound for the set E. The supremum...
A:
Q: 2. Find the solution of the given initial value problem using MUC: 2y(3) – y(2) – 2y(1) + y = 4x3 – ...
A:
Q: Karen and Mary saving money K
A: Let it takes minimum of x weeks to get the total of $5000 in savings Karen deposits 1035+125x Mary d...
Q: +5y = sin x, y(0.3)=5 and using a step size of h = 0.3, Approximate the value of y(0.9) dx 2. %3D us...
A: Given 3dydx+5y2 = sinx with y(0.3) = 5, h = 0.3
Q: Blueberries cost $2.50 per pound at a grocery store. A customer has a coupon for $0.50 off the total...
A:
Step by step
Solved in 2 steps
- This question concerns computational complexity.In this question, the perfect square problem is the problem of determining if a positive integer, n, is a perfect square i.e. if n = x^2 where x is a positive integer.(a) The following decision algorithm, A, is proposed for the perfect square problem:Compute x^2 for integer x starting at x = 1 until x2 either equals or exceeds n. n is accepted in the former case and rejected otherwise.Based on A, what is the complexity class of the perfect square problem? Show your reasoning. (b) What is Heron's algorithm for finding the square root of a number?Discrete Structure Question 1: A runner targets herself to improve her time on a certain course by 3 seconds a day. If on day 0 she runs the course in 3 minutes, how fast must she run it on day 14 to stay on target? A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k − 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 25? Question 2: Consider the letters in the word COMPUTER. a) In how many ways can these letters be arranged in a row? b) In how many ways can these letters be arranged if the letters CO must remain next to each other (in order) as a unit? Question 3: A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a student answer the questions on the…[1B] The given table below shows the 6 different places that you would like to visit on a particular day. The table below shows the estimated amount of time (in minutes) it takes you to travel (by any means of transportation) from one place to another. If you will visit each of these places exactly once, determine the shortest time possible it would take you to do using the Greedy Algorithm. Examples already provided in the photos below. Home Hospital Mall Esplanade Pet Shop Market Home --- 30 15 17 10 3 Hospital 30 --- 17 20 25 23 Mall 15 17 --- 2 25 18 Esplanade 17 20 2 --- 27 20 Pet Shop 10 25 25 27 --- 7 Market 3 23 18 20 7 ---
- [(1B)] The given table below shows the 6 different places that you would like to visit on a particular day. The table below shows the estimated amount of time (in minutes) it takes you to travel (by any means of transportation) from one place to another. If you will visit each of these places exactly once, determine the shortest time possible it would take you to do using the Edge-Picking Algorithm. Examples already provided in the photos below. Home Hospital Mall Esplanade Pet Shop Market Home --- 30 15 17 10 3 Hospital 30 --- 17 20 25 23 Mall 15 17 --- 2 25 18 Esplanade 17 20 2 --- 27 20 Pet Shop 10 25 25 27 --- 7 Market 3 23 18 20 7 ---4. Hamiltonian Circuits and The Traveling Salesman Problem Draw the circuit produced using the nearest neighbor algorithm starting at the vertex on the far right.Draw by clicking on a starting vertex, then clicking on each subsequent vertex. Be sure to draw the entire circuit in one continuous sequence. Click outside the graph to end your path.Plz answer question 5 only in 20 mints it's very urgent plzzzzz When describing an algorithm, do not forget to analyze its running time and explain why the algorithm is correct
- Suppose that, in a divide-and-conquer algorithm, we always divide aninstance of size n of a problem into 10 subinstances of size n/3, and thedividing and combining steps take a time in Θ(n2) . Write a recurrenceequation for the running time T(n), and solve the equation for T(n).Evaluate the advantage and disadvantage of k-NN AlgorithmSuppose we have height and weight and its corresponding Tshirt size of several customers. Your task is to predict the T-shirt size of Anna, whose height is 161cm and her weight is 61kg. Use KNN algorithm with K=5 and Square distance formula.
- An engineer developed a new algorithm that detects whether a vehicle is present in an image. To test her algorithm, she selected 1,00 0 photos from the library of 100,00 photos. Among the photos in the library, 50% contain a vehicle (50,000 photos). She ran the algorithm on each of the selected photos and tagged 460 photos containing a vehi 46%. a. what is the population? b what is the sample? c what is the variable of interest?ii3. Hamiltonian Circuits and The Traveling Salesman Problem Apply the repeated nearest neighbor algorithm to the graph above. Starting at which vertex or vertices produces the circuit of lowest cost? A B C D E F What is the lowest cost circuit produced by the repeated nearest neighbor algorithm? Give your answer as a list of vertices, starting and ending at the same vertex. Example: ABCDEFA28-29 fast please Questions 28-29 refer to the following: A hypothesis is conducted to see if a new algorithm is faster than an old one. Eight problems are solved twice, the first time using the old algorithm and the second time using the new algorithm. Of interest is the average decrease in time. The difference data ( old-new ) is calculated Program Old (time in seconds) New (time in seconds) Difference ( old - new) 1 8.05 6.3 1.75 2 24.74 12.1 12.64 3 28.33 19.5 8.83 4 8.45 5.63 2.82 5 9.19 10.21 -1.02 6 25.2 25.4 -0.2 7 14.05 10.2 3.85 8 20.33 14.63 5.70 The distribution of the test is: Group of answer choices Normal student-t with df 8 student-t with df 7 Unable to determine The conclusion to the test is Group of answer choices The new algorithm is not faster than the old one The new algorithm is the same as the old one The new algorithm is…