MATH 213 Midterm: MATH 213 NJIT 213Exam3 f08

• School: New Jersey Institute of Technology
• Department: Mathematical Sciences
• Course: MATH 213
• Professor: All

Document Summary

|)find the surface areathat is cut from the saddle shaped surface z : xy by the cylinder xz + !2 : i. Z)evaluate, using triple integration, the volume of the region in the first octant bounded by the coordinateplanes(x:0,y:0,2-0)theplane y+z:2andtheparaboliccylinderx :4-y2. 3)find, using cylindrical coordinates, the mass of the ellipsoidal solid given by. 4x2 + 4y" + z2 : 16 lying above the x-y plane. The density at a point in the solid is proportional to the distance between the point and the x-y plane (p : k ) : t r z : t z 0 < f < l: i,#a"