Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate planes and the plane 45x + 90y + 4z = 360. V =

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 solid formed by rotating the region Inside the first quadrant enclosed by…

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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 solid cut from the cylinder x² + y? = 49 by the planes z = 0 and x + z = 1.

A: Image is attached with detailed solution.

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: Find the volume of the solid cut from the cylinder x2 + y? = 25 by the planes z = 0 and x + z = 2.

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Q: Find the volume of the solid formed by revolving the area bounded by the parabola y2 = 9x and the…

A: We want to find the area bounded by the parabola y2 = 9x and the line y = 3x about the y-axis.

Q: Find the volume of the solid of revolution formed if the area enclosed between y = x, y = (x – 2)'…

A: Volume by Disk method

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: he region bounded by f(x) = - 2x2 + 12x + 54, x = 0, and y = 0 is rotated about the y-axis. Find %3D…

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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: To create an object to display at the Art Museum of Philadelphia, Hao creates a solid of revolution…

A: If y is given as a function of x, then the volume of solid obtained by rotating the portion of the…