Find the centroid of the region bounded by the graphs of the functions 1 and touching the origin. y = 5 sin(x), y = -x, and a 72, The centroid is at (, y) where 18 11 y 11 π 2
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- Plot the function f(x, y) = x² – y² over the square region bounded by the lines y =x - 2, y=x+2, y = -x – 2, and y = -x + 2. Then integrate f over this square region.find the centroid of the thin plate bounded by thegraphs of the given functions. Use Equations (6) and (7) with δ = 1and M = area of the region covered by the plate. g(x) = x2 (x + 1), ƒ(x) = 2, and x = 0Find the centroid of the thin plate bounded by the graphs of g(x)=x and f(x) = x + 6. Use the equations shown below with 8 = 1 and M = area of the region covered by the plate. == b f a M Sx[f(x) - g(x)] dx b y=-=-=[r²(x)-g²(x)] dx The centroid of the thin plate is (x,y), where x = (Type integers or simplified fractions.) and y =