a particular algorithm increases in time as the number of operations n increases. Suppose the time complexity of this algorithm is given by: f(n)=4n²+5n²*log(n) Show that f(n) is 0(g(n)) for g(n) = n³
Q: You are trying to create a budget to optimize the use of a portion of your disposable income. You…
A: Let the amount spent on food, shelter and entertainment are x, y, z (in dollars) respectively.…
Q: Solve the following problems. Show your solutions neatly. Use Polya’s four-step problem solving…
A: 1. Understand the problem We need to find the number of bones in each part of the body 2. Devise a…
Q: I'2 I'3 4x2 + 2x3 213 13 2x1 -4x₁ + 2x2 2x1 212
A:
Q: # of Aqua-Spa hot tubs to produce = # of Hydro-Lux hot tubs to produce X 350x₁ + 300x₂ x₁ + x₂ ≤ 200…
A: # Solving by Simplex The given LPP is Max Z= 350x1+300x2 x1+x2≤2009x1+6x2≤156612x1+16x2≤2880x1,x2≥0…
Q: Solve: си -|P TE I/2 22 (1) 24 ( он То dt
A:
Q: Find the average value of f over the given rectangle favg f(x, y) = 2x²y, R has vertices (-2, 0),…
A:
Q: 6. Find the volume of solid generated by revolving bout the y² = 4x, x = 0, y = 4 about y = 4.
A: Given curves are, which generate the solid y2=4x, x=0, y=4 Graph is Since y2=4x⇒y=4x
Q: n open field is bounded by a lake with a straight shoreline. A rectangular enclosure is to be…
A: This is the problem of the Application of Calculus.
Q: Justify your response thoroughly to communicate your understanding of the concepts. Suppose on an…
A:
Q: the lengths of a female humerus and a male humerus are equal when
A: We will find length of humerus when height of both male and female become equal .
Q: = Use spectral decomposition to orthogonally diagonalize the matrix A [] -7 24 7 24
A:
Q: Consider the function f(x, y) = x²ye^( -x²-y²) (a) Find all critical points of f. (b) Determine the…
A:
Q: 3. Graph both curves (a) y = x - 2x² and (b) y = x-2 and their curvature function () on the same…
A:
Q: Compute the Laplace transform of integrate t to 0 te ^2t sin 2t dt
A: Given : f(t) = t e2t sin2t To Find : laplace transformation Lt e2t sin2t
Q: Find the area of the region bounded by the curves y = sin(x), y + 1 = r², 3x = -2y on the interval…
A:
Q: The Laplace transform of a function f(t) is given by the expressions F(s) = Lif(t)} = S(0) "dr Find…
A: since subparts are not related so solving only 2 subparts.
Q: 3) For the following sequences give a closed formula: a. 0, 1, 3,6, 10, 15, 21, ... b. 0, 1, 4, 9,…
A: Solution :-
Q: Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit. Write…
A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If…
Q: Do question 4
A: We solve by using Ratio Test.
Q: The price was $450 before 8% tax was added on. What is the price after tax?
A:
Q: y (b) If f(x, y) = arctan quadratic approximation. x 1 compute an approximate value of f(1.1,0.9)…
A: The given problem is to find approximate value of the given function at given point by the using the…
Q: Use linear approximation to estimate √(4.01) + (4.01)2 correct to four decimal places.
A:
Q: The total sales of the fertilizer plant are R = -2Q3 +12Q2 + 72Q, R = total sales (in billions), Q =…
A: It is provided that R=-2Q3+12Q2+72Q, where R is the sales corresponding to the quantity Q. We need…
Q: max st. z = 3x1 + 2x₂ + 5x3 2x₁ + x₂ < 20 X₂ + 2 v
A: Max Z = 3x1+2x2+5x3 subject to 2x1+x2≤20x2+3x3≤30x1+x2≤25x1,x2,x3≥0 Add the slack variables…
Q: For the system of linear equations -3x + 5y = 4 ny + 12x = -16 a) []: Find the values of n such that…
A: We have to solve given Questions.
Q: 2. (a) Find Fourier Series representation of the function with period 2 defined by f(t)=sin (1/2).
A: Sol:- Fourier series of function fx on interval -L≤ x≤ L is defined as: x=A0+∑n=1∞ An·cosnπxL+∑n=1∞…
Q: verzvalaable X/2 2 (2+xi) (x +i). 2 tua GX 92+49 3 2 + 71
A:
Q: 2.Consider a student loan of $18,000 with an APR of 6% for 8 years. Find: a) the monthly payment;…
A:
Q: 2. (a,b) and Consider : R₂[1] → R² defined by ƒ(ar² + br + c) = (a,b) 9: R² → R³[2] defined by 9(a,…
A:
Q: Problem 1. Draw a tree for the recurrence T(n) = T() +T(7) +n and determine the appropriate guess…
A: From the above details we have,
Q: Let A = -4 -12 4 12 Let B = 1 3 -5 -15 Find k such that KerA is a subspace of Rk 1 Find k such that…
A:
Q: b) B = {[(PAS)V ¬Q] ^ (P V ¬Q) ^ ¬(PAS)}
A:
Q: 9/x+++2y2z014 (0) = 1 by taung heoil 1.m test news poot to payton d farm 62
A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: The graph G is a planar connected graph. It has 25 edges, and 9 faces. How many vertices does G…
A:
Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0
A:
Q: Solve the following initial value problem: X = 69xx-() 0 2 5 X, X(0) = -3 2 1 002 2
A: Here we will use linear differential equation: dydx+Py=Q ...... (i) , where P and Q are functions of…
Q: Find the volume of the solid generated by rotating the region bounded by f(x) = 2-x², g(x)=√1-x², x…
A: We know The volume of the solid formed by revolving the region between curve fx and curve gx around…
Q: A new airline has decided to join the market. It is considering offering flights out of Cagayan, and…
A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…
Q: 2 3. (a) At any point of the curve x = t, y = t², z = t³. Find the unit tangent vector and unit…
A:
Q: Consider the linear application application "(ar³ + bx² + cr + d) = 3ax² + 2bx+c. T: R₂[1] → R₂[1]…
A:
Q: Consider the following function. f(x) = x +41-8 (a).Find.the.critical.numbers.of.…
A:
Q: Find the eigenvalues and eigenfunctions of the following differential equation y" + xy = 0, y'(0) =…
A:
Q: The rate of change of the weight of a cow is proportional to 1200 W, where time, t, is measured in…
A: We want to find differential equation of W(t).
Q: A tank contains 4000 ers (L) of a solution consisting of 121 kg of salt dissolved in water Pure…
A:
Q: Sketch a graph of a function f, defined on (-∞, oo), with the following properties. lim f(x) = f(-2)…
A: Here we have to consider all the given conditions then we have to draw the graph
Q: max f(x, y, z)=x+2z s.t. x+y+z=1 is (x. y. 2) = (0. - 12/2) with Lagrange multipliers equal to ₁ = 1…
A: Solution of First question is given below:
Q: Show justifying that if A and B are square matrixes that are invertible of order n, A-¹BA then the…
A:
Q: At how many points do the curves r₁ (t) = ((t+1)², -t2- 2t, t+2) and r₂ (t) = (1 − t², t, t)…
A: This is the problem of parametric equations and the theory of curves.
Q: 3) Plove that (3-21) (x+21) = 3 +2i if it was very valuable X, Z
A:
Q: Minimize: Z = 20X₁ + 10X₂ + 80 Subject to: X₁ + X₂ + X3 ≥ 6 2X₁ + 4X₂ + X3 = 20 2X₁ + X₂ ≤ 5
A: The given LPP is as follows MInimize Z= 20x1+10x2+80x3x1+x2+x3≥62x1+4x2+x3=202x1+x2≤5x1,x2,x3≥0 Add…
Step by step
Solved in 2 steps
- Consider the following algorithm: g1 = 3 g2 = 4 For k starting at 3 and ending with 8: gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm?Which of the following is the algorithm of Newton's Method for finding x3 = N when N is a real number? a.) xn+1 = 1/2 (xn + N/xn) b.) xn+1 = 1/3 (2xn - N/x2n) c.) xn+1 = (xn + N/xn) d.) xn+1 = 1/2 (xn+N/x2n) e.) xn+1 = 1/3 (2xn - N/x2n)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…
- What is the largest n for which one can solve within 10 seconds a problem using an algorithm that requires f(n) bit operations, where each bit operation is carried out in 10^-10= seconds, with these functions of n?What is the largest n for which one can solve within 3 minutes a problem using an algorithm that requires f(n) bit operations, where each bit operation is carried out in 10-12seconds, with these functions of n?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?
- For math, I'm currently learning about recursion algorithm and I'm confused about doing the recursive algorithm and proving it. Here is my question: "1. Devise a recursive algorithm for computingn2 where n is a nonnegative integer, using thefact that (k+1)2 = k2 +2k+1. Then prove that thisalgorithm is correct. " How would I be able to solve this correctly?Find the GCD and parameters s and t using Extended Euler algorithm (show all steps) x=198 and y = 243 x=1819 and y = 3587Use the linear finite difference algorithm to approximate the solution to the following problems.
- Find the exponential generating function for the number of partitions of [n] in which each block has odd sizeSuppose you have two egg-timers (hour-glasses) — one measures in 32-minute intervals, and the other measures in 12-minute intervals. • Use the extended Euclidean algorithm to obtain an equation that explains how you could time a 8 minute egg with these two timersExpress efficient algorithms clearly for the below problem. Also, explain the asymptotic behavior of the algorithm. Assume a list of building blocks. Each block is a cube with a given size, and has ontop, a list of all the other blocks that can be placed directly on top of it. You are also given a number k. Determine whether or not you can build a tower with block 0 at the bottom and block 1 at the top using no more than k blocks. If so, we want to know the height of the shortest such tower. Example: given 0: 8, ontop=2,3 1: 15, ontop=0 2: 11, ontop=1,3,4 3: 10, ontop=0,1,2 4: 7 ontop=1 if k were 2 the answer would be no. if k were 4 the answer would be yes, with height 33 (block0 then block3 then block1)