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Given functions f(x) = -x 2 + 4 and g(x) = -x 3 + 4x for -2

  1. Given functions f(x) = -x2 + 4 and g(x) = -x3 + 4x for -2 <= x < =1. (similar to 5.4 #11-22) a.) Make a graph of the functions b.) compute the centroid. (you can use simpson's rule calculator to compute) c.) Compute My d.) Compute Xc (the x centroid) e.) Compute Mx f.) Compute Yc (the y centroid) g.) Plot the centroid on your graph) h.) Does your computed centroid look like it at the center of mass of your graph? Yes or No. Reference https://www.contemporarycalculus.com/dh/Calculus_all/CC_5_4_Moments_Centroids.pdf

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