questions below:

Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 5y - 3y2 and the line x + y = 0 if 6(x.y) =x + y. Choose the correct sketch of the plate described above. O A. o B. o c. o o. /'\\ A /"\\ A /'\\ Y '\\J 3 y '99 y 3 y Kg} Q Q Q @ 1' 4 r/ 4 'l Select the order of integration that will make the computations easier and ll in the limits of integration in your choice. O A. I I F(x,y) dx dy O B- I I F(x,y) dy dx Use the given density function 5 to write the appropriate integrand F(x,y) for nding the moment of inertia. Then substitute into the correct integral from the previous step and evaluate to nd the moment of inertia for the plate. The moment of inertia is . (Simplify your answer.) Find the moments of inertia of the rectangular solid (see the diagram at the right) with respect to its edges by calculating Ix, ly, and IZ. In the gure a = 3, b = 6, and c = 4. The solid has constant density 5 =1. Ix=|: (Simplify your answer.) ly=|: (Simplify your answer.) IZ=|: (Simplify your answer.) Evaluate the cylindrical coordinate integral. 1 0/x 131/1-2 z dzrdrd0 0 0 1 1 -2 TO/x 1311-2 zdzrdr de 0 1 1 -2 (Type an exact answer, using it as needed.)