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11

Step-by-step Answer
PAGE: 1006SET: ExercisesPROBLEM: 11
Please look in your text book for this problem Statement

The double integral is  and region is .

Volume of the solid :

If , then the volume  of the solid that lies above the rectangle  and below the surface  is

.

Therefore the double integral  represents volume of the solid, below the surface  and above the rectangle .

From the definition of double integrals, .

.

The double integral  represents volume of the solid.

.



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