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MAC 2313 QUIZ 10 NAME:1.) Consider the following integral:R40R2√yex3dx dy.(i) (1 pt) Sketch the region of integration in the xy-plane.(ii) (2 pts) Switch the order of integration, i.e. set up the integral overthe region sketched in (i) in the order dy dx.(ii) (1 pt) Calculate the integral in (ii). Give the exact answer only.Do not use decimal approximations.122.) (3 pts) Set up but do not calculate the integral for the volumeof the solid lying below the paraboloid z = x2+ y2, inside the cylinderx2+ y2= 4 and above the xy-plane.3.) (3 pts) Using polar coordinates, calculate the integralZ ZRe−(x2+y2)dA,where R is the right half of the circular region bounded by x2+y2=


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UNF MAC 2313 - Study Notes

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