e x² + y² = z², bounded below by the xy-plane and bounded al integral to find the surface area of S (there is a parameterizat 6.5).

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: Calculate the line integral F. dr, where F (3y, -3z, 2x + 2) and C' is the boundary of a triangle…

A: We will find line integral by using stokes theorem .

Q: enclosed betw parabola y = x2

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Q: Find the centroid of the area bounded by the parabolas x = y2 and x2 = -8y

A: The given problem is to find the centroid of the area bounded by the given parabolas. Given…

Q: Find the area of the surface defined by z = xy and x2 + y2 < 7.

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Q: Find the area of the surface defined by x + y + z = 1, x2 + 2y2 ≤ 1.

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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: 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: Locate the centroid x of the shaded area. y = h xn h X

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Q: Find the centroid of the area bounded by 2-4y + 8 = 0, the lines x 0 and x = 4, and the x-axis.

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Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3