Question

Q3. For a closed surface defined by the surfaces 3,p-5, ф z = 5, Calculate, by writing the respective integrations, 100. ф 130, z 3, and (a) The volume enclosed by the given surfaces (b) The total area of the enclosing surface (c) The total length of the twelve edges of the surfaces (d) The length of the longest straight line that lies entirely within the volume (a) Verify divergence theorem for D over the region defined by O S pS5,-1szs 1,0 φ 2n (b) Verify Stokes's theorem for F over a triangle with its comers at (00,0),(1,1,0), and 05.IMATLABI Plot the divergence and curl of vectors given below, (a) A = cosx sin y ax + sinx cosy ay over the interval-π x π and-r S y (b) A::-xy ax + yzay Over the interval-10 x 10and-10Sys lo π (c) A r ar + r cosф аф over the interval-10 r S 10 and-10 y 10 Start each part by plotting the given A vector using quiver command Use vector transformations between coordinate systems if you have to. If you do, you should provide the respective transformation code in MATLAB instead of hand 10 i6 18 12 13
Please could you answer 3. Question please clearly write

Answer 1