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Set Up a Triple Integral for the Volume of the Solid

Question 2

Multiple Choice

Set up a triple integral for the volume of the solid bounded by the coordinate planes and the plane given below. z=126x8yz = 12 - 6 x - 8 y


A) 020126x80126x8ydzdydx \int_{0}^{2} \int_{0}^{\frac{12-6 x}{8}}\int_{0} ^ {12-6x-8y}dzdydx

B) 020126x80126x8ydydzdx \int_{0}^{2} \int_{0}^{\frac{12-6 x}{8}}\int_{0} ^ {12-6x-8y}dydzdx

C) 0120126x80126x8ydzdydx\int _ { 0 } ^ { 12 } \int _ { 0 } ^ { \frac { 12 - 6 x } { 8 } } \int _ { 0 } ^ { 12 - 6 x - 8 y } d z d y d x

D) 020126x80126x8ydxdydz\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { \frac { 12 - 6 x } { 8 } } \int _ { 0 } ^ { 12 - 6 x - 8 y } d x d y d z

E) 0126x8020126x8ydzdydx \int_{0}^{\frac{12-6x}{8}} \int_{0}^{2}\int_{0} ^ {12-6x-8y}dzdydx

Correct Answer:

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