Find the centroid of the triangle bounded by the x-axis, the y-axis, and the line 2x + y = 5. The centroid is at| Note: Enter your answer as an ordered pair, e.g., (5,7). Now find the volume of the solid obtained by revolving the above triangle about the line x = 7. Volume is

Q: Determine the coordinates of the centroid of the shaded area.

A: Given that the following figure i.e.            .To determine the coordinates of the centroid of the…

Q: Find the volume of the region under the surface z = corners (0, 0, 0), (7,0,0) and (7,7,0). 2 and…

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Q: use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder…

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Q: Use the Theorem of Pappus to find the volume of the given solid. the solid obtained by rotating the…

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Q: Use the Theorem of Pappus to find the exact volume of a general cone c with vertices (0, 0), (3, 0),…

A: Step:-1 Pappu's Theorem:- According to this theorem, the Volume V of a solid of revolution generated…

Q: 2m -2 m X

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Q: find The volume of Ihe solid generated by revolving each vegion enclosed by he triangle wilh…

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Q: Which of the following mathematical statement corresponds to the statement: "If there exist a real…

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Q: Find the volume V of the region appearing between the two sur

A: Given, the two surface                  z=x2+y2  and z=200-x2-y2

Q: m1. Subject :- Advance Math Find x coordinate of centroid of area bounded by y=1/root(4-x^2).…

A: The region is bounded by:, .To Find: x coordinate of the area bounded by the given region.

Q: Use cylindrical coordinates to find the volume of the solid. Solid inside x² + y² + z² = 16 and…

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Q: Quadrilateral UKEM has vertices U(-5,-1), K(-1,-1), E(-1,-6), and M(-5,-8). Determine the volume of…

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Q: Find the volume of the region under the surface z = corners (0, 0, 0), (7,0,0) and (7, 7,0). 2 1+x²…

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Q: Find the volume of the region enclosed by the paraboloid (x-1)²+y=z and the plane 2x+z=2.

A: To find the volume of the region enclosed by below paraboloid and the plane. x−12+y2=z and…

Q: z2 = 9 and outside the cylinder x? + y? = 1.

A: coordinates, x=r cos θy=r sin θz=2 x2+y2=r2cos2θ+sin2θ=r2x2+y2+z2=9r2+z2=9⇒z=±9-r2 x2+y2=r2⇒r=2

Q: The volume of an object determined by the two surfaces is z=(x^2+y^2)-2 , z=8-3(x^2+y^2)

A: Let's find.

Q: Find the volume of the solid obtained by rotating the triangle (2,0)(2, 4)(1, 1) about the…

A: Solution :-

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume c = 7, a = 1.35, b =…

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Q: Q6/ Find the volume of the parallclogram-sided determined by: u- -3i +7j +5k, v -3i + 7j-3k, and w-…

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Q: The area in the first quadrant, bounded by the curve y = 2x12, 1/2 the y-axis and the line y-6 = 0…

A: Given that,

Q: The base of a three-dimensional figure is bound by the line x = -y² - 2y + 3 on the interval [0, 1].…

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