Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the RREF(A).

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Q: 1. Given the series, E=o () (2x – 1)", find the radius and interval of convergence

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Q: 2/3x1 - 1/4x2 + 5/8x3 = 0   1/5x1 + 2/3x2 - 1/4x3 = -7   -3/5x1 + 4/3x2 - 7/8x3 = -5

A: To solve the above system of equations we will write the given system in Matrix form then we will…

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Q: Derive the formula for the False Position Method

A: Derive using the concept of similar triangles.

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Q: и Write the vector shown below as a combination of vectors ū and v shown above

A: Solution

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A: Given, z=u2+2v2-x2+3y2u=r2-s2 v=r2+s2x=2rsy=2rsTo find: dz(r,s,h,k)

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

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Q: 19. Which of the following integrating factors will make the differential equation 2y(x +y+2)dx +(y²…

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Q: Find the inverse Laplace of the following: (8 1.

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

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A: The given conditions are : (a) f-3=5, f0=2, f3=0 (b) f'x>0 on -∞,-3∪3,∞and f'x<0 on -3,3…

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Q: 8. Demonstrate that the equation 21 = 3 (mod 6) has no solution by plug- ging in all possible values…

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Q: Find the Inverse Laplace Transform of s?+2s + 10 'sin3t A 3 3 sin9 3. cost

A: Inverse Laplace transferom

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A: here we will find left Riemann sum  ∫abf(x)dx≈∑i=0n-1fxi*Δx    where  Δx=b-anand  xi*= a+i×Δx…

Q: 4. Let f(x) = x, Vx E [0, b]. Show that f is integrable and that 62 f(x) dx : Answer:

A: Given function is  fx=x, ∀ x∈0,b

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Q: Find the solution. dy sin x x-+2y +2y = y (2) = 1 dx (A) y = (4 + sin 2 + cosx?) /x2 B в су %3D (3 —…

A: Linear differential equation with intial condition.

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Q: (b) 4x = 2 (mod n), n = 6 (c) 4x = 3 (mod n), n = 7

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Q: dy 1. The linear differential equation dx has the integrating factor equal to (Note: Simplify or…

A: According to our guidelines we can answer only one question and rest can be reposted.

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A: Solve by integrating.

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Q: Let A = [ 3*0 .8 = [ Jand C = [14-0 Jand c = [1* | Find the matrix X, if 8+0 -10 A? + 3X =C |B|

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Q: Consider the following IVP: y' +y = e2t; y(0) = 0 Find the general solution. A y(t) 2 B y(t) 5 y(t)…

A: Given differential equation is y' + y = e2t ; y(0) = 0

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Q: (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y” = 0.

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