Find the centroid of the region bounded by the xy-plane, the cylinder x² + y² = 3721, and the += 1. Assume the density of 8(x, y, z) = 1. (Use symbolic notation and fractions where needed. Express numbers in exact form. Give your answer as point coordinates in the form (*.*.*).)

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A: y''-4y'+3y=sin4πtut-1, y(0)=y'(0)=0   Note : As per the guidelines I am answering only one question…

Q: -4 4 3 3 0 4 1 3 0 0 1 1 -4 0 0 0 1 1 0 00-5 4 -4 5 /hen following the standard Gaussian elimination…

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A: Note: As per the guidelines we are supposed to answer only first question because this is not…

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A: Given f(x)=a-x,x&lt;a i.e., -a&lt;x&lt;a                   =0,         x&gt;a i.e., x&gt;a, x&lt;-a…

Q: 47. [T] Use a computer algebra system to compute the Riemann sum, LN, for N = :10, 30, 50 for 1 f(x)…

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A: In the given question we have to find the inverse of 2×2 matrix by using given theorem.

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Q: Show that for any real constants a and b, where b>0 (n + a)b = (nb).

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A: As per Bartleby policy, we can answer only first question when the multiple questions are posted.…

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A: The objective is to solve the system.

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A: We have provided counter example

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A: We have used Newton Raphson method

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A: The given system of linear equations,…