## Question

###### Problem Let R be the quarter in the first quadrant of the disk with radius R centered at the origin: Find the center of gravity (7.J) of R: Use polar coordinates and cange of variables in the integral. Problem 2 Consider rectangular craboard box without top aucl hottom. The dliagonal of the box has leugth Use Lagrange multiplicrs to findl the maximum CurhceH of the [mpeT uUsedd t0 make this hxx. What ATe the ditHsicx of this optital hx"

Problem Let R be the quarter in the first quadrant of the disk with radius R centered at the origin: Find the center of gravity (7.J) of R: Use polar coordinates and cange of variables in the integral. Problem 2 Consider rectangular craboard box without top aucl hottom. The dliagonal of the box has leugth Use Lagrange multiplicrs to findl the maximum CurhceH of the [mpeT uUsedd t0 make this hxx. What ATe the ditHsicx of this optital hx"

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