Change the order of integration and evaluate the triple integral... integral^(pi)_0 integral^(pi)_0 integral^5sin(phi)_0 (rho)^2*sin(phi)d(rho)d(theta)d(phi) please show all work and be sure to change the order of integration... Question #6
d) Find the volume of the region bounded by the paraboloid z x2 y2 100 36 1- and the xy-plane - ze-y" + z") dz dy dx by changing the order of integration in an appropriate x/70 way. 3) Use cylindrical coordinates to find the volume of the region enclosed by the cylinder 2+y2 36 and the planes z = 0 and x + y + z = 12 Use spherical coordinates to find the volume of the region enclosed by the cone z2-x2 + y2 between the planes z = 4 and 9 y"广J'nz dzd9dr 5) Change the order of integration and evaluate 32 j"é¨5 sing Q2sin 6) Change the order of integration and evaluate Find the Jacobian for the transformation T: x = 5 u cosh 6 v, y-Su sinh 6 v Use the transformation T: u 8xy 5x+y; to evaluate: SJ5x*y) dx dy where R is the parallelogram bounded by the lines y-8x +3, y-8 x + 6, y =-5x + 5, y--5x + 10
