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Set Up a Triple Integral for the Volume of the Solid

Question 72

Multiple Choice

Set up a triple integral for the volume of the solid bounded by z=7x2y2 and z = 7 - x ^ { 2 } - y ^ { 2 } \text { and } z=0z = 0


A)
7777x207x2y20dzdxdy \int_{-\sqrt{7}}^{\sqrt{7}} \int_{-7}^{\sqrt{7-x^{2}}} \int_{0}^{7-x^{2}-y^{2}} \int_{0} d z d x d y
B)
7777x2y207x2y2dzdxdy \int_{-7}^{7} \int_{-7}^{7-x^{2}-y^{2}} \int_{0} ^{7-{x^2}-{y^2}} d z d x d y
C)
777x27x207x2y2dzdxdy \int_{-\sqrt{7}}^{\sqrt{7}} \int_{-\sqrt{7-{x^2}}}^{\sqrt{7-x^{2}}} \int_{0} ^{\sqrt{7-{x^2}-{y^2}}} d z d x d y
D)
777x27x207x2y2dzdxdy \int_{-\sqrt{7}}^{\sqrt{7}} \int_{-\sqrt{7-{x^2}}}^{\sqrt{7-x^{2}}} \int_{0} ^{{7-{x^2}-{y^2}}} d z d x d y
E)
777x27x207x2y2dzdxdy \int_{-7}^{7} \int_{-\sqrt{7-{x^2}}}^{\sqrt{7-x^{2}}} \int_{0} ^{{7-{x^2}-{y^2}}} d z d x d y

Correct Answer:

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