Let E be the solid in the first octant bounded by the planes x = 1, y = 2, and z = 3 with density function p(x, y, z) = 1 + x + yz. Which of the following integrals represents the mass of the solid? о о S S 1 2 2 3 ** (1 + x + yz) dz dy dr 0 3 LEE 3 LLL 2 .3 dz dy dx (1+x+yz) dz dy dx 1+x+yz dz dy dx None of the above.

Q: 3.- Calculate the volume of the solid bounded by the cylinder y = x^2 and the planes y + z = 4; z =…

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Q: Explain why, no matter how the circuit is completed, Pip must place an even number of additional…

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Q: y = 1.

A: answer of given question is in step 2

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A: What is Centroid: The centroid of a three-dimensional solid or a two-dimensional planar lamina…

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A: We have to find the mass ,moments ,center of mass of the solid E .

Q: If E is the solid described below with density function p(x, y, z) = x² + y2, find the following…

A: The solid E can be expressed asE={(x,y,z):0≤z≤4−y2 , 0≤x≤y/2 , 0≤y≤2}

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Q: Use cylindrical coordinates to evaluate y dV where D is the solid that lies be- tween the cylinders…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the volume integral of the function f(r, y, 2) = x– y over the parallelepiped with the vertices…

A: By observing the given points we get    0≤x≤3 ,0≤y≤2 and0≤z≤2 and given function is  f(x, y, z) =…