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(30 points) Given the solid E bounded by x* + y* +2 =8 and z =/x* + y . a) Set up the integral that

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(30 points) Given the solid E bounded by x* + y* +2 =8 and z =/x* + y\" . a) Set up the integral that will evaluate the volume of E as an iterated triple integral using Cartesian (rectangular) x,y,z coordinates. Do not evaluate the integral. b) Set up the integral that will evaluate the volume of E as an iterated triple integral using Cylindrical coordinates. Do not evaluate the integral. ) Set up an integral in spherical Coordinates that will calculate the volume 2 T OfE. Hint: z = \\}xz + V" changesto @ = E ; i : ; T in spherical coordinates (i.e. on the cone @ = Z)

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