Question: 5. Consider the vector field in R' given by, F(x, y, z) = xityj +(B+4)zk. Let Q be the three dimensional region contained within the

5. Consider the vector field in R' given by, F(x, y,

5. Consider the vector field in R' given by, F(x, y, z) = xityj +(B+4)zk. Let Q be the three dimensional region contained within the unit cube as shown below: 2 (0, 0, 1) . . . . . . . . ... ....... . . . . . . . . . . . . . . ....... ...... (0, 1, 0) y (1, 0, 0) ... .. (a) Calculate divF, the divergence of F. (b) Use Gauss' Divergence theorem, . Finds = Ill dive av, where 02 denotes the boundary of the unit cube (i.e. 2Q consists of the six sides of the unit cube), to calculate

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