Exam 12: Extension A: Multiple Integrals

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Evaluate the double integral by first identifying it as the volume of a solid. Evaluate the double integral by first identifying it as the volume of a solid.

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B

Estimate the volume of the solid that lies above the square Estimate the volume of the solid that lies above the square   and below the elliptic paraboloid   Divide   into four equal squares and use the Midpoint rule. and below the elliptic paraboloid Estimate the volume of the solid that lies above the square   and below the elliptic paraboloid   Divide   into four equal squares and use the Midpoint rule. Divide Estimate the volume of the solid that lies above the square   and below the elliptic paraboloid   Divide   into four equal squares and use the Midpoint rule. into four equal squares and use the Midpoint rule.

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E

Calculate the double integral.Round your answer to two decimal places. Calculate the double integral.Round your answer to two decimal places.

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Calculate the double integral.Round your answer to two decimal places. Calculate the double integral.Round your answer to two decimal places.

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The double integral The double integral   ,where   ,gives the volume of a solid.Describe the solid. ,where The double integral   ,where   ,gives the volume of a solid.Describe the solid. ,gives the volume of a solid.Describe the solid.

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