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- $ Q2/Evaluate D.ds side of the divergence theorem for the field D = 2xyax + x'yay C/m² and the rectangular parellelepiped formed by the planes x = 0 and 1, y = 0 and 2, and z = 0 and 4.consider the parallelepiped with sides: A=3i+2j+k، B=i+j+2k, c=i+3j+3k, then 1-Find the rolume of the paralldepiped 2-Find the area of the face determined by A and B. 3-Find the angle between the vactor C and the plane containing the face determined by A and BCompute the flux of the vector field F = 2zk through S, the upper hemisphere of radius 5 centered at the origin, oriented outward. flux =
- Give an example to show that a factor ring of an integral domain may be a field.OA Solid insolatina Cylinder with positive uniform volume Charge density tP + radiusa, is surrounded beu a thin-walled insulativa Culindrical sell aith negative uniform sursace enarge densi ty-o and radius b. The two culinders ave coaxial (Ghave the Same central asis) + both have a lena th L. Use the Quantitiec given t a cu livdrical Gaus Sian surface. tp Dwrite Durite Qurite an expressi on Sor the Charge enclosed within the region arrrb an expression for the chavge enclosed within region rra expression S for the electric field within the tegion rra an write Durite an expression for the electric field within the region a Trb exoression Sor the Charge enclose d within the region r>b