Visually estimate the location of the centroid of the region shown. Then find the exact coordinates of the centroid. (x5)=( 32 2' 5 y=x² x 2

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Q: Q1: Find x(t) = ? for the following Differential Equation [x(t) + 2 x(t) = 10], where x(0) = 2.

A: x'(t)+2x(t)=10x(0)=2

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A: To find the solution of the following differential equation.

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Q: A man plans to retire in 30 years. While working, he intends to deposit money each month into his…

A: Here we have, FV=1000000 (future value)r=6.75%=0.0675n=12 for the monthly payment.t=30 years

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Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (6,-3),…

A: Given the vertex of the parabola (6,-3) , horizontal axis, and passing through the point (-44,2) we…

Q: If cos x = 4/5, csc x < 0, then sin 2x cos2x = tan 2x

A: Cosx=4/5 ,cscx&lt;0

Q: 3x Consider the function f(x) = x²e-³ª, defined for all real numbers x. (a) Find the two critical…

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