Using the method of variation of parameters to find the solution for the following differential equation: dy d'y dx³ dx² (1)=1, y(1)=3, y(1)=14 -3.x². +6x- -6y= 24x³

Q: 2. A particle of mass m moves in a force field whose potential in spherical coordinates is V =- (K…

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Q: in the magic square so that the sum of the numbers in each row, columm

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Q: Q2: State and prove the first isomorphism theorem.

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 11. D A B C B A D E F с F E

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Q: Learning Task 3: Read each item carefully. St.cw all secessar, Jutions in solv. ing 1. Find the…

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

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Q: 2. The plane region R is bounded by the curvey = Arctan (), y=0, and x = 3. Determine: a. The Area…

A: Using washer and disc method

Q: Q1/ From the following table of values, find the approximate value of f'(1.5) ? 1.2 1.7 1.5 0.4055…

A: Given:− To find: f'(1.5)

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Q: Use cylindrical coordinates to evaluate the following triple integrals toutube √²-² (x² + y²) dzdy…

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Q: dx Foe this differential equation +4x=8 and x(0)-0. dt Solve for solution x and answer the following…

A: Given differential equation, dxdt+4x=8 …. (1)  and x(0)=0 This differential equation is a…

Q: product space in R3. If not, explain why. 1) = u1v1u2v2u3v3

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Q: Let B be an orthonormal basis for an inner product space V. Suppose u, v E V have coordinate vectors…

A: Let B be an orthonormal basis for an inner product space V.   Suppose u, v in V have coordinate…

Q: For an arbitrary function f: XY, prove the following identities: a) f¹ (Uiel Bi) = Uier f-¹ (B₁). b)…

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Q: Use the Crank-Nicolson method with h = 0.1 and k = 0.01 to approximate the solution to the problem…

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Q: Homework for Newton-Raphson 1. Find the positive solution of 2cos x = x until you find the six…

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: 10. Prove that T/2 75/2. sin e cos (cos a cosec 0) de 10 T 2 (1-cos a).

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Q: 12 f(x) = X ¹²³ + x² + x² + x² Show that whether f(x) is irreducible or not

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Q: @) Fs / 1² f (x,y) / = P√= $(94) - P²Fs [P;y) dx² proof. (H-w-) арсх, у) · as x If f (x,y) → 2

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Q: /Solve the following Assignment problem using the Hungarian method.. 12 3 4 5 J1 83 7 6 2 J2 51 514…

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Q: H.w: Find the Fourier series for the following functions: 2x 1+ 1 -π < x < 0 X 1- f(x) = 2x 1 0 ≤ x…

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Q: Q4\ find a polar equation for the circle x² + (y - 3)² = 9

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Q: Use Laplace transform to solve the partial differential equation: d²u d²u du(x,0) = t> 0, 0<x<1,…

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Q: For any positive integers m, n (

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Q: (c) A third tower is located at Heights Barn Hill. Let DEF represent the points on the map for…

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Q: Eve, an Al robot travelled to moon for US's space exploration. AS part of the mission, she is to set…

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Q: If 11z¹ +10iz⁹ +10 iz-11 = 0, find the possible values of [z].

A: The given question is related with complex analysis. Given the equation 11z10 + 10iz9 + 10iz - 11 =…

Q: Hi the equation for the cone is z^2= x^2 + y^2, and not z=x^2 + y^2, could you please do this…

A: Here we will use Cylindrical co ordinate system  x= r cosθ , y = r sinθ , z=zx2+y2=r cosθ2 + r…

Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: a) find the solution of the equation, using homogeneous equations. dy/dx = 2y-x/2x-y

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Q: semi-circular baggage compartment in an airplane is 38' long, 15' wide, and 7.5' high. How many…

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Q: 3.17 Let f(t) be a T-periodic signal and let g(t) be the signal given by 1 rt g(t) = f(u) du. a Jt-a…

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Q: 1. The value of (1.000)-27 is O 327 0.327 O 1.000 O Non of them (242²-121²) 242*121 O 1 O 2/3 O 11/3…

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Q: Q4) Find the maximum eigen value for the system 4 = x¹ (0) = (1 1) 4 with initial vector

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 9. B C C A D D A B

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Q: 2) 2x2 csc(x) dy dx

A: The solution is given as

Q: (a) fo dx 4 2 √3x-x²

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Q: Minimize f = x²+x+60x, subject to the constraints 8₁x₁-8020 82x₁+x₂-120≥0 using Kuhn-Tucker…

A: Minimize :  f = x12 + x22 + 60x1subject to ,    g1 = x1-80≥0                        g2 =…

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Q: Giving the joint pdf of a bivariate R.V. (X, Y) as shown below. (A) Determine the constant k. (B)…

A: Solution : Probability  P=∬P(x,y)dx dy A)  Total probability =1 ∫01∫y1kdx dy=1⇒∫01k(1-y)dy=1⇒k=2 B)…

Q: Q5: A- Find the mass of the region cut from the sphere++d by the cone z= density &?? +y² if the

A: Mass is given by M=∬∫V δ dv

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Q: 1. Show, by drawing, that the following graphs are planar: (11) the graph of the octahedron.

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Q: For a data set of size 10, the highest order of a polynomial that could be fitted using Least…

A: Last option is correct i.e. 9

Q: Use Fourier transform to solve the partial differential equation: du d'u du(0, y) 01 du(x, y) əx " =…

A: Fourier cosine transform with respect to x Fcs=2π∫0∞fxcossxdx Inverse Fourier cosine transform…

Q: 6. Suppose A = (3, -2, 4), B = (-5, 7, 2) and C = (4, 6, -1), find A × B.A+B-C.

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