Question: ) Let E be the solid inside the surface x 2 + y 2 + z 2 = 36 and above the surface z =

) Let E be the solid inside the surface x 2 + y 2 + z 2 = 36 and above the surface z = p 3x 2 + 3y 2. (a) (3pts) Sketch the solid (label your axes). Also, sketch the cross section in the yz-plane (label your axes). (b) (2pts) Sketch the projection of the solid onto the xy-plane. Label your axes and include the equation of the curve(s). (c) (6pts) SET UP but do not evaluate the integral in cylindrical coordinates (dz dr d?) that gives the volume of E. (d) (6pts) SET UP but do not evaluate the integral in spherical coordinates (d? d? d?) that gives the volume of E.

{l'i'pta Let E be the solid inside the surface 3:2 + y2 + 23 = 36 and above the surface 2 = 3m3 + 33?. {a} {Spite} Sketch the solid {label you: axes} Also. sketch the cross section in the spa-plane {label your axes}. {h} {ute} Sketch the projection of the solid onto the mgr-plane. Label your axes and include the equation of the curre(e). {c} {pta} SET UP but do not evaluate the integral in cylindrical coordinates {d2 dr dd) that gives the volume of E. {d} [lip-ta} SET UP but do not evaluate the integral in spherical coordinates {rip do dd) that gives the volume of E

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