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Part 1.) (5 pts) A solid V in the first octant (x 2 0, y 2 0, z 2 0) is bounded by the surfaces

Part 1.)

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(5 pts) A solid V in the first octant (x 2 0, y 2 0, z 2 0) is bounded by the surfaces x = 0, 3x - y = 0, 2x + y = 10, z = 0, and z = 5. Write a triple integral in the order dzdydr to calculate the volume of V. Include a sketch of the solid. DO NOT EVALUATE.(5 pts) Let E be the solid bounded by z = 3:2 + :92 and 2: = 23;. Write an iterated integral that gives the volume of E. Include a Sketch of the solid. DO NOT EVALUATE. Rewrite the following integral using the order da dy dz. DO NOT EVALUATE. -9 (r +y' ) dy dz d.x 0 + 2 2

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