Consider the solid E bounded by y = x2 and z = 0 and y +...

  

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Consider the solid E bounded by y = x2 and z = 0 and y + 2z = 4. (a) Sketch the solid given by the above bounds. (b) Set up the triple integral in rectangular coordinates to find the volume of the solid E of the order dy dr dz. Do not evaluate the integral. (c) Set up the triple integral in rectangular coordinates to find the volume of the solid E of the order dz dr dy. Do not evaluate the integral. Consider the solid E bounded by y = x2 and z = 0 and y + 2z = 4. (a) Sketch the solid given by the above bounds. (b) Set up the triple integral in rectangular coordinates to find the volume of the solid E of the order dy dr dz. Do not evaluate the integral. (c) Set up the triple integral in rectangular coordinates to find the volume of the solid E of the order dz dr dy. Do not evaluate the integral.