Find the centroid of the region bounded by the graphs of y = xe (e is raised to the power -x/2 ) , y = 0 , x = 0 , x = 4

Q: find the residues of z/(1-z^4) at z = i

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Q: Find the centroid of the region bounded by y = 9 − x^2 and y = 0

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Q: 5. If x is rational and y is irrational, then x + y is irrational.

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: Given the second order non-homogeneous linear differential equation y"+2y-3y 3 e^x + 4 cos x,…

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Q: Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = x + 6. Use the…

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Q: Find the points on the graph of the function f(x) = x^2 that are closest to (0, 2) in the xy-plane.…

A: Minimal distance

Q: Find the centroid of the region bounded by the curves y = sin(2x) and y = sin(x) for 0 < x≤².

A: We use the formula for centroid to solve this problem.