Please include full solutions and sketch properly if necessary
Posted: Thu Jun 02, 2022 12:21 pm
Please include full solutions and sketch properly if
necessary
3. Consider the iterated integral TT 2√5 √20-r² I = 3r dz dr de 0 Denote by G the solid of integration of the integral I, which is bounded by a portion of a sphere S₁ and a circular cylinder S₂. a) Sketch the solid G. b) Find an equation in spherical coordinates for S₂. c) Use a triple integral in spherical coordinates to show that I = 4π.
necessary
3. Consider the iterated integral TT 2√5 √20-r² I = 3r dz dr de 0 Denote by G the solid of integration of the integral I, which is bounded by a portion of a sphere S₁ and a circular cylinder S₂. a) Sketch the solid G. b) Find an equation in spherical coordinates for S₂. c) Use a triple integral in spherical coordinates to show that I = 4π.