Find the coordinate vector for w relative to the basis S= {u1, u2} for R2. uj = (1, 0), u2= (0, 1); w= (3, –7) ||

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A: solve the following first order differential equations (Variable separable

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A: Let  X=xy and A=21-61-10 Then X'=x'y'

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Q: 1. 4. Let a be a complex number such that lal > 2. Prove that 1. and a 1 generate a free group.

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Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: Here the given surface  -100x2+36y2+225z2=900 ..........(1)

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Q: 1. Algebra: Compile 1 application problem for introduction to algebra with solutions and correct…

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Q: Find the approximate root in 5th iterations of the function f (z) = x – a – 1, xo = 1.5 by a Vx+1…

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A: To calculate the are of the given region we shall use the following formula: area of a…

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Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

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Q: Theorem (Axioms of a Closure): Let (M,d) be a metric space and let S,T C M. Then (1) 0 = 0 and M =…

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Q: be eigenvectors of the matrix A which corespond to the eigenvalues A, = -1.d = 1, and dy = 2,…

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Q: If $10,000 is invested today in an account that earns interest at a rate of 9.5%, what is the value…

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Q: 3x + 3y + 12z = 6 x + y + 4z = 2 2x + 5y + 20z = 10 -x + 2y + 8z = 4 В.

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Q: (a) Use triple integral in spherical polar coordinates to find the volume of a unit sphere. (b) The…

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