Set up a triple integral to calculate the volume of the tetrahedron bounded by the plane 2x + y + 4z = 4 in the first octant. Do not evaluate.

Q: Find the volume of the solid obtained by rotating the triangle with the vertices A(0,0), B(4,4) and…

A: Solution

Q: Find the volume of the ellipsoid =D1 in positive octant Once

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Q: Find The volume of the Pasaboloid Solid by 2 - 4+2x² + 2y² and 7-3x²-3y² the

A: To Find: Volume of the solid region bounded by the paraboloids z=-4+2x2+2y2 , and z=7-3x2-3y2.

Q: Find the volume of the tetrahedron bounded by 2x−y+z = 4 and the coordinate planes.

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Q: a) Find the intersection point between curves 2=-2 and y=-/2x+2. Hence, find the area of the…

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Q: Calculate the volume of the solid above the xy plane delimited by = 9-x² - y²

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Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: The given equation of the curve is: and

Q: Find the volume of the solid generated of the area bounded by y 8x and y 2x, rotated about %3D y =…

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Q: The area bounded by the parabola y² + x - 2y = 1, the x — axis, and the line x = 2 revolves about…

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Q: b) y = x +1, y = x °+1 (in the first quadrant), about the x-axis. (method of shells)

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Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: Find volume of the solid enclosed by: z=8-x²-1² and z=x² + y² ZA 8

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Q: Write six different iterated triple integrals for the volume of the tetrahedron cut from the first…

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Q: Find the integrel that represente the volume of the following solid , Emc losed by y -0,20 =X and 6x…

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