MA211 Test 2 SolutionsQuestion 1.[12 Marks]LetGconsist of the solid above thexy-plane between the spherex2+y2+z2= 16 and theplanez= 2. Fill in the missing integrand and limits of integration for the the tripple integralin cylindrical coordinates on the right hand side of the following equation:Volume ofG=ˆ22ˆ22ˆ22dz dr dθ.Do notevaluate the integral.
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Question 2.[3+6+6 = 15 Marks]LetRbe the region in thesecond quadrantenclosed by the coordinate axes and the circlex2+y2= 9.(a) Sketch the regionR. Further, fill in the following limits of integration:Rxy