Alex was working to find the centroid for a lamina with constant density of p =...

 

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Alex was working to find the centroid for a lamina with constant density of p = 2 and bounded by the given curves: y = x, x+y=2, y = 0 Alex remembered from class that the y-component for the centroid being v= *(f(x)) dz. 1 Alex knows the A represents the area of the lamina, but is unsure where the and square on f(r) comes from, or why there isn't an r being multiplied by f(x) in this formula. Find the y-component for the problem Alex is working on, while helping Alex by explaining what each part of the formula from class represents. Alex was working to find the centroid for a lamina with constant density of p = 2 and bounded by the given curves: y = x, x+y=2, y = 0 Alex remembered from class that the y-component for the centroid being v= *(f(x)) dz. 1 Alex knows the A represents the area of the lamina, but is unsure where the and square on f(r) comes from, or why there isn't an r being multiplied by f(x) in this formula. Find the y-component for the problem Alex is working on, while helping Alex by explaining what each part of the formula from class represents.