Let F = (cos (x), sin (y), cos (x) sin (y) z), D = {(x, y,...

 

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Let F = (cos (x), sin (y), cos (x) sin (y) z), D = {(x, y, z) x = [1,1], y [1,1], z [1,1]}, and I = SSSDV.FdV. (a) Compute I directly using volume integration over D. (b) Compute I using surface integration over the boundaries of D. Let F = (cos (x), sin (y), cos (x) sin (y) z), D = {(x, y, z) x = [1,1], y [1,1], z [1,1]}, and I = SSSDV.FdV. (a) Compute I directly using volume integration over D. (b) Compute I using surface integration over the boundaries of D.