Question: Problem 3: [10 marks]Set-up the following triple integrals using the coordinate system indicated. You do nothave to calculate or solve them. You only need to
Problem 3: [10 marks]Set-up the following triple integrals using the coordinate system indicated. You do nothave to calculate or solve them. You only need to set the limitsof integration, theintegrand, and the volume element correctly.Integral 1: Cartesian coordinates and Divergence theorem [4 marks]Using the Divergence theorem, set up the triple integral to find the outwardflux of the vector field vec(F)=y2hat(i)+xz3hat(j)+(z-1)2hat(k) for the region bounded by theintersection of the plane 2x+3y+4z=12 and the first octant (x>0,y>0,z>0)grad anywhere within the integralz first, then y, and finally x.Solution:
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