Solve the differential Equation. y" ty=xsinn, by using variation of parameter methal

Q: Evaluate the following integrals. 4x+10 1. S dx (x-2)(x-1)²

A: Solution:  To find : ∫4x+10(x-2)(x-1)2

Q: A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clock position from a platform that…

A: 2. Given that,A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clockposition from a…

Q: In the given figure, using Kruskal’s algorithm, which edge should we choose third? a. EF b. AG c.…

A: In Kruskal's algorithm, at a step,the edge with minimum weight is chosen if it does not form cycle…

Q: The set A := {(1), (1 2 3), (2 3 4)} forms a subgroup of the permutation group (G,.). O True O False

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Q: Thinking 4. (7) Solve the follow equations. Find all real roots. a. (x+2)(x²-3x - 10) = 0 b.…

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Q: 3 Find the laplace transform ofe¹t²+ e²t (2cos 3t). 16

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Q: [1 Encode the word KNIVES using the encoding matrix: L3 4 O a [53 78 75 106 L62 86 [53 78 75 105 161…

A: Given word is KNIVES.Encoding matrix A=1234The word KNIVES is encoded as shown below.

Q: Consider the matrix below A= 3 -2 4 0 -6 7 a 1 2 -2 1 -3 -4 3 1 2 Find the minor and cofactor of a

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Q: Find the volume of the solid generated when the region bounded by x = - sqrt(4y) . y = 4 and x= 0 is…

A: 1st we will draw region and then draw solid of revolution . To find solid of revolution we need to…

Q: Suppose that v1=(2,1,0,3), v2=(3, 1,5,2), v3 = (-1,0,2,1) ar column vectors temporarily lying down…

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Q: Determine the volume when the region, bounded by the given equations,

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Q: Consider the polar curves C₁ : r = 2 - cas 0 and C₂: r = 2 + 2 cos 0, 0 € [0, 27). (1.) Show that…

A: It is given that r1=2-cosθ and r2=2+2cosθ. We have to find the points of intersection of these two…

Q: (b) Consider f(x) = 2x³ + 3x² + 4 in Zs [], and the evaluation homomorphism 2 [2]: Zs [2] → Zg. (i)…

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Q: 3 Evaluate the integral de using the two-point Gaussian quadrature rule O -|4 1035 N/N N/W 끔

A: We have to evaluate the integral ∫−3311+x4dx by using two-point Gaussian quadrature rule. Here,…

Q: Get the partial derivatives δω θω дх’ ду δω given that Əz w = Arc sin (x² + y) — tan 2z + 1 and

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Q: 16 Solme, the differential equation:. y" +9y² + 4y = e²^s/maxy cheve e₁ y² = dy

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Q: (e) Show that every n ≥ 8 can be written as 3a+5b for some a, b € N.

A: Part e asked and answered.

Q: In spherical geometry, draw a triangle with three right angles. What is the area of the triangle?

A: A globe is the best visualization tool. It will make a triangle in certain senses, because of having…

Q: The height of an arrow shot by an archer off a 50-foot cliff is given in the table below. Determine…

A: The model is given by y=bx+a. Mean is computed by adding all the observations and divide the sum by…

Q: (a) Determine whether the permutation 42135 of the set {1, 2, 3, 4, 5} is even or odd. (b) Find all…

A: The given permutation is 42135. The given permutation is a cyclic form of the set {1,2,3,4,5}. The…

Q: Let B = {V1, V2, V3, V4} be a basis of R4 given by the following vectors: 1 -2 Use the Gram-Schmidt…

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Q: Approximate the following integrals using the following method. Use Boole's Rule Method S² (x²y +…

A: Given: ∫01∫x2xx2y+xy2dydx n=16 To find: Value of the integral using Boole's rule.

Q: 1) Are the a) f(z) = zz b) f(z) = z+z² following functions analytic?

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

Q: This question has multiple correct answers! Let V be a five-dimensional vector space, and let S be a…

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Q: Example 7.31. Obtain the cubic spline for the following data x: 0 1 2 3 y: 2 - 6 -8 2

A: To find:  Cubic spline for the following data: x 0 1 2 3 y 2 -6 -8 2

Q: Find the steady-state probability vector for the stochastic matrix P. [0.9 0.3 0.2] P = 0.1 0.6 0.3…

A: Given P = 0.90.30.20.10.60.300.10.5

Q: Let P(x): X 2 Find the following then identify their truth values. 1.P (1) 2P (2) 3. Vn, P(n) En,…

A: The given statement is                                          P(x): x22=x

Q: Use the binomial theorem to expand and simplify (write out the Sigma Notation first) (5x³ - 3y²)¹

A: The Binomial theorem states that (a+b)n=∑k=0nCknan-kbk, where Ckn=n!(n−k)!k!​ and n!=1⋅2⋅…⋅n. We…

Q: Find the formula 1 [ f(x) dx = w₁f (0) + w₁f (1) that is exact for all functions of the form f(x) =…

A: Solution :-

Q: Determine the area enclosed by the curve r²=4sin(20).

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Q: Who among the following SLU Mathematics faculty members has made a true statement about the day of…

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Q: usine Solve the differential Equation by of andetermined cofficients coeffic CD² +6D + 8) Y = x +…

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Q: u(x,y) with the constant c>1: Solution of this equation is A. u(x,y)=f(x+cy) B. u(x,y)=f(x-cy) C.…

A: Given PDE is ∂u∂y + c∂u∂x = 0

Q: Which of the following is the equation of the curve having its slope always equal to half the…

A: We want to find true option.

Q: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

A: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

Q: 0 22 C6 + 22 C₂

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Q: Which of the following statement/s is or are true? * i. Everything in nature is circumstantial. ii.…

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Q: 1. Find the derivatives of the following function (a) y=4²+2

A: Given function y=4x2x-3xx+2xx             =4x-3+2x Differentiate y with respect to x dydx=ddx4x-3+2x…

Q: (27) Solve (1+y²) | n = (tan'y-n)·dy

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Q: Consider the following sets, with UN: that is, the universal set is the set of natural numbers and…

A: Given that U = ℕ is the universal set of natural numbers. Let C = 1 , 3 , 5 , 7 , 9 , 11 , 13 , … .…

Q: Construct the truth table of (p ^ q) V ~r

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

Q: Suppose that a group of 150 students have joined at least one of the chat rooms: one on auto racing,…

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Q: 0 if x = y o(x, y) 1 if x #y x, y ER". The open ball in the discrete metric space R", o> is the…

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Q: Q2; find all spanning tree for the following graph

A: We know that , given a graph G = V , E , a subgraph of G that connects all vertices and it is a tree…

Q: Set up but do not evaluate the triple integral fff ex+v+dV, where S is the solid lying below S…

A: Given S is a solid lying below z+2x2+2y2=9, z=1 and outside the cylinder x2+y2=1  I=∫∫∫ex+y+z dV

Q: Problem 6. Let A2 = A. Prove that either A is singular or det (A) = 1.

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Q: Cost, revenue, and profit are in dollars and x is the number of units. A small business has weekly…

A: Introduction: The formula for profit function is given by, P(x)=R(x)-C(x) Where R and C are revenue…

Q: Let A(1, 2, 1), B(3, 1, 2) and C(2, 1, 2) be points in R³. a) Find the point-normal form of the…

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Q: Given Show that the Fourier series for f(x) is π² f(x)= +2 6 (-1) n² n=1 -^≤x≤0 0≤x≤T 2 Σ(-1*¹.…

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Q: Evaluate the integral ¹9(√x² + y²) dxdy.

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