(b) Find the volume under the paraboloid z=x+y² above the triangle enclosed by the lines y=x, x=0 and x+y=2 in xy-plane.

Q: Find the area of the “triangular” region in the xy-plane that is bounded on the right by the…

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Q: Find the volume of the wedge cut from the first octant by the cylinder z = 45-5y² and the plane x +y…

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Q: Sketch the cylinder given by x = 4- Z*2（z square）in three-dimensional space.

A: Given: The equation is x=4-z2. To sketch: The given equation in three-dimensional space.

Q: Find the centroid of a thin, flat plate covering the region enclosed by the parabola y2 = x and the…

A: Given information:

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

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Q: enclosed betw parabola y = x2

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Q: Calculate the volume under the elliptic paraboloid z = 4x² + 6y2 and over the rectangle R = [-2, 2]…

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Q: Find the area of the surface x2 - 2y - 2z = 0 that lies above the triangle bounded by the lines x =…

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Q: The base of a sand pile covers the region in the xy-plane that is bounded by the parabola x2 + y = 6…

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Q: Find the centroid of the plane area bounded by the parabola y = 6x - x² and the line y = x

A: To Find: The centroid of the plane area bounded by the parabola y=6x-x2 and the line y=x

Q: Find the centroid of a thin, flat plate covering the “triangular” region in the first quadrant…

A: Consider the given curve.

Q: Find the centroid of a thin, flat plate covering the region enclosed by the x-axis, the lines x = 2…

A: Given information: