Given the solid E bounded by x + y+2=8 and z = x + y. a)...

    

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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. c) Set up an integral in spherical Coordinates that will calculate the volume Of E. Hint: zx + y changes to op= ZA x+ y+z=8 E 4 in spherical coordinates (i.e. on the cone =) z = x + y 4 X 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. c) Set up an integral in spherical Coordinates that will calculate the volume Of E. Hint: zx + y changes to op= ZA x+ y+z=8 E 4 in spherical coordinates (i.e. on the cone =) z = x + y 4 X