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Q: 5. Find the series solutions of the Laguerre equation x² y" +(1-x)y' + ny=0 of the form…

A: Since Laguerre equation is xy''+(1-x)y'+ny=0      (1) Using Frobenius method, let solution be…

Q: Solve the following Linear Program using the Two-Phase Method: subject to maximise z= x₁ + 2x2 + x3…

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Q: Numerical Methods. Using h = 0.1, approximate the value of y when x = 1.5 for the given differential…

A: It is provided that dydx=e-y-1yex and y(0)=2. We need to calculate the value of y for x=1.5 using…

Q: 6. > Use zero - through fourth-order Taylor series expansion to approximate the function; f(x) =…

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Q: Consider a general private value auction:   a) What is the optimal bidding strategy in a sealed bid…

A: We have to answer the followings questions of the a general private value auction.

Q: Consider the function f: RR defined by ƒ (x) = 1⁄2x³. (a) By using definition, explain whether f is…

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Q: Identify the conic the polar equation represents and give the position of the directrix. r= 12 9+5…

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Q: Question 4 Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant,…

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Q: 2. In each question, explain the reason. Consider the following vectors in R³: (a) (b) v₁ = (1, 0,…

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Q: For any constructible positive number α, show that ±squrt(α) are constructible. Correct answer only.

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Q: 19 Consider a simple two-person, two-good exchange economy. Suppose that total quantities of the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with…

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Q: 2. Let W be an (n − 1)-dimensional subspace of V. Show that V has a basis B satisfying Bn W = Ø.

A: Please find the answer in next step

Q: 2. Presidency Incumbent contester Cyril Ramaphosa (ANC) and Julius Malema (EFF) are contesting the…

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Q: Calculate the area bounded by x (x-4) + y = 0 and the lines x + 2 = 0; y - 4 = 0.

A: We can evaluate the unshaped surfaces by using triple or double integral technique.

Q: D Question 18 Differentiate. y = (9x+5)*

A: 18. To differentiate: y=9x+5x

Q: a) Let F. 2x³ +Y;+2 cosz+X+23³ k +2005 3 j+ -k be the vector field. Use the Divergence Theorem to…

A: The given problem is to find the flux od of vector field across the surface of solid bounded by the…

Q: Fu. Cn - 1 + 2L -L f(x)e .nn -Tx dx JW Example: find the complex Fourier expansion of the periodic…

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Q: Consider the vector function r(t) that has unit tangent vector 1 T(t)= (1,1,2t), 0≤t≤ 2. √1+5t²…

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Q: 2. Let F = −y³i + x³j + cos z³k and C be the curve generated by the intersection of the cylinder x²…

A: a. Given, F¯=-y3i¯+x3j¯+cos z3 k¯ Let C be the curve generated by the intersection of the cylinder…

Q: show that 2 = ar²+by ³ and z = ax³ + bx²y + cxy² + dy give 4 same differential rise to the egn.…

A: Introduction: When a multi-variable function is provided, one can for a partial differential…

Q: The temperature in a certain city is measured at noon each day from 1st July 2013 for two complete…

A: a) The required equation is of the form T(t)=Acos(Bt)+C Now, A=largest value- smallest…

Q: xydx - (x^2+3y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)dx + N(x,y)dy…

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Q: Find a closed-form formula for f(n)=...) k+1 II₁¹. (Write your answer in the form of: k

A: We will use definition of product notation to find closed form of given product form.

Q: 2. Let B = {v₁ =, √₂ =, V3 =, V4 =}. Use determinant to determine whether B is linearly independent…

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Q: ose a Let X be a finite set with at least two elements. Suppose group Gr acti transitively on X.…

A: Please find the answer in next step

Q: 5. The graph shows the relationship between Albany's temperature and Sydney's temperature. If…

A: Try to pick some coordinates obviously that would not be 100% correct but that will help in finding…

Q: What is the correct piecewise parametrization of a path C created by starting from C₁ of equation y…

A: Introduction: A very important aspect of vector calculus is the parametrization. the line integral…

Q: B = 1 2 3 -1 0 2 3 2 3

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Q: The integral region, and True False To da gives the length of an interval, CCC dV the volume of a…

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Q: solve ・iation parameter method y!! +24¹ +2y= the Differential equation by using var е-и дестил,

A: Solution:

Q: Consider the region inside the cylinder x² + y² = 12 and outside the hyper- boloid x² + y² - 2² = 3.…

A: Consider the region inside the cylinder x2+y2=12 and outside the hyperboloid x2+y2−z2=3. a We have…

Q: A company produces three types of bicycles, i.e., mountain bike, road bike, and touring bike... For…

A: Let there are x mountain bikes  there are y road bikes There are z touring bikes  For the given data…

Q: jw F(w). jwF(W) = jwF(W) = - A Tjw - [2 - acOS (CT)] cos -2A (1-COS (NT)) трия -2A // asin" (WT)))…

A: The solution of the problem already has been written step by step. But for better understanding you…

Q: 2. In a dance performance, four dancers form a diamond with vertices A(2, 0), B(0, 2), C(-2, 0), and…

A: Given, The diamond with vertices A2,0,B0,2,C-2,0 and D0,-2 is given. The coordinates after six…

Q: 1. a) Use row reduction to find A - A = of 1 0 1 2 -3 -3 4 4

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Q: Show that (x, y, z) = xy + y² + 22 has no local extrema by showing that its unique critical point is…

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Q: Let F = -yi+xj and let C be a curve consists of the line segment C₁ from (0,0) to (4,0) followed by…

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Q: Do not use a calculator for this problem. Find the x-value where the relative maximum of y = e³ – x²…

A: We need to use Newton-Raphson method to determine the value of x that is a relative maximum near x=0…

Q: The Fibonacci Sequence is izo Fi Fn = Fn-1 + Fn-2 23 the defined by Fo = 0 1 for nza. Let Fi izo…

A: Introduction: The infinite terms 0, 1, 1, 2, 3, 5, 8, 13, 21, and 34 make up the Fibonacci sequence.…

Q: 3 Find Laplace transform f(t) = cost

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The graph of g' is given below: W Answer the following questions about the graph of g based on the…

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Q: 3.Prove the logical equivalence P Q ~(P = ~Q)

A: In this question, the concept of Truth Table is applied. Truth Table In logic, a truth table is a…

Q: Use an appropriate substitution to solve the equation and find the solution that satisfies y(1) = 1.…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 r=

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Q: Find the general solution for the second-order differential equation ¨y + 8 ˙y − 9y = −3 with…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) r = Without converting…

A: As the bartlwby rule I solve only three sub parts if you want to solve next please repost and…

Q: f(t) = u(t− 3)(t - 3)e-4t

A: In this question, the concept of Fourier Transform is applied. Fourier Transform The Fourier…

Q: Find the equation of the image when y = -x+2 is reduced with scale factor of 2/3 centered at (1 ,…

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Q: Solve u +u =0 for the square mesh with boundary values as shown in Figure 11.14. Iterate till the…

A: Consider the given differential equation, uxx+uyy=0 Here we have to find the mess values which are…