2. Consider a region bounded by x + y + z = 4, z = 0,...

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2. Consider a region bounded by x² + y² + z² = 4, z = 0, and x² + y² = 1. Set up the triple integrals in cylindrical coordinates to evaluate the volume of the region using the following orders of integration: (a) dzdrdø (b) drdzdø (c) dødzdr. Evaluate the integral for (c). (Answer-5.87) 3. Set up the triple integral in problem (2) using spherical coordinates for dRdedø. 2. Consider a region bounded by x² + y² + z² = 4, z = 0, and x² + y² = 1. Set up the triple integrals in cylindrical coordinates to evaluate the volume of the region using the following orders of integration: (a) dzdrdø (b) drdzdø (c) dødzdr. Evaluate the integral for (c). (Answer-5.87) 3. Set up the triple integral in problem (2) using spherical coordinates for dRdedø.