28) find the volume in the I" ocant bounded by Coardinate plane, the Cylinder xy=4 and the plane z-fuy)= 3-y

Q: Find the volume of the solid region bounded in the first octant by the plane. z = 1- 8x - 2y

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Q: Find the volume bounded by z = 9-x²-y² and z = 0.

A: find explanation below

Q: Find the volume of the region between the cylinder z=y. and the xy-plane that is bounded by the…

A: Solved below

Q: Find the volume of the solid region bounded in the first octant by the plane. z = 12 - x - 4y cubic…

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Q: By using the double integral, find the volume of the tetrahedron bounded by the 3x ordinate planes…

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Q: ) Determine the volume of the solid bounded by x = -4, z = 4, x = -y², and the xy-plane.

A: Given: a solid bounded by x=-4, z=4, x=-y2 and the xy plane. To find : volume of the solid   In the…

Q: Find the volume of the solid bounded by the plane 2x + 8y + 5z = 2 in the first octant. Leave your…

A: Equation of plane, 2x + 8y + 5z =2

Q: 3) Use a triple integrol to find the volume of the tetrahedron enclosed by the coordingte planes ond…

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Q: A solid is formed in the first octant bounded by the plane z = 6 – x – y and the cylinder y = 4 –…

A: Set up the double integral that will give the volume of the solid bounded by plane z=6-x-y and…

Q: Find the volume of the solid generated by revolving the triangularregion bounded by the lines y =…

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Q: A solid is formed in the first octant bounded by the plane z = 6-x-y and the cylinder y = 4 r².Using…

A: The solid  S is bounded in the first octant by the plane z=6-x-y and the cylinder y=4-x2 Using dxdy…

Q: Find the volume of the solid region bounded in the first octant by the plane. z = 1 - 9x – 3y

A: Note:" Since you have posted multiple question. As per our guidelines we are supposed to solve only…

Q: Find the volume of the prism whose base is the triangle in the xy plane bounded by the x -axis and…

A: Given -  A prism whose base is the triangle in the x-y plane bounded by the x -axis and the lines y…

Q: Calculate the volume of the solid bounded by cone z2=x2+y2 and cylinder 4=x2+y2.

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Q: Find the volume of the region bounded by z = 4 - x² - y and the xy plane.

A: Given the region bounded by z=4-x2-y2 and the XY plane

Q: Find the volume of the solid enclosed by the cylinder x+ y = 9, bounded above by the sphere x +y° +=…

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Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: Find the volume of the solid that is bounded by the cylinder z = 4x2, on the sides by the cylinder…

A: Let's find volume of solid.

Q: Find the volume bounded by the paraboloid z = 1+ 2x + 2y² and the plane z = 15 in the first octant.

A: We are required to find the volume bounded by the paraboloid z=1+2x2+2y2 and z=15. The graph of the…

Q: Find the volume of solid that is bounded by the cylinder x +y = 9 and the planes y+z=4 and z=0,

A: We have to find  the volume of sold that is bounded by the cylinder x2 +y2 =9 and the planes y+z=4…

Q: Find the volumes of the solids whose bases are bounded by the circle x^2+y^2=4, with the indicated…

A: Given, x2+y2=4 Part a: We have, x2+y2=4⇒y2=-x2+4⇒y=±4-x2 Now we find the area to use in finding the…

Q: 9. The Theorem of Pappus will always be applicable to determine the volume of solid revolution for…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Find the volume of the solid bounded by the plane 3x + 6y + 3z = 4 in the first octant. Leave your…

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Q: Find the volume of the solid with the order dzdydx bounded by x2  + y2  = 4 and the planes x + z=2,…

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Q: Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 25 - x^2 and…

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Q: Find the volume of the solid bounded by the plane 9x + 3y + 3z = 6 in the first octant. Leave your…

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Q: Find the volume of the tetrahedron in the first octant that is bounded by the three coordinate…

A: The objective is to find the volume of the tetrahedron in the first octant that is bounded by the…

Q: Consider a solid bounded by, x² + y²=16, z=y², z=0 and x=0 Calculate its volume.

A: Introduction: Volume and the triple integral are equivalent. Integral is mostly used to calculate…

Q: Set up a triple integral to calculate the volume of the tetrahedron bounded by the plane 2x + y + 4z…

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Q: Find the volume under z 2x + 3y + 10, above the xy-plane and inside x² + y = = y.

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Q: use a theorem of Pappus to find the volume generated by revolving about the line x = 5 the…

A: “Pappus’s theorem for volumes:

Q: Set up the double integral that will find the volume of a solid bounded by z = 1-y²-2² and the ry-…

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Q: Find the volume of the solid bounded by surfaces z = /9-x2 - y2 , and z = /25 - x2 - y? and the…

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Q: Find the exact volume of the solid formed in the first octant bounded above by the cone z = 2 - /x2…

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Q: A solid is formed in the first octant bounded by the plane z = 6 – r - y and the cylinder y = 4 –…

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Q: Find the volume of the solid bounded by y=x2+1y=x2+1 and the line y=−x+3y=−x+3, revolved about the…

A: Given curves are y=x2+1 and y=-x+3 and the line y=5 Find the volume

Q: Find the volume of the wedge cut from the first octant by the cylinder x2 + y2 = 1 and the plane 2x…

A: To find the limits of x, y and z from the region of integration, substitute 0 for y.…

Q: FiNd the volumes OF the solids gewerated by revolving +he regions bounded by the graphs oF the…

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Q: Find the volume of the solid bounded by the paraboloid z = 16 – x² – y², the cylinder x2 + y? = 8…

A: We have to find the volume of the solid bounded by the paraboloid, the cylinder, and the xy-plane.

Q: 6) Find the volume of the solid in the first octant bounded by the plane 3x +4z=12, y=2 and the 3…

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Q: Find the volume of the wedge cut from the first octant by the cylinder z=63-7y and the plane x+y=3

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Q: Find the volume of the solid bounded by the paraboloids z = – 5+ 2x2 + 2y² and z = 3 – 3x? – 3y? -

A: Here we use the cylindrical coordinate system to solve the problem.

Q: Compute the volume of the solid bounded above by z = 8xy° and below by the triangle with vertices

A: In this question we will use basic of calculus i.e application of integration. We will plot the…

Q: Find the volume of the solid bounded by the plane 7x + 3y + 8z = 3 in the first octant. Leave your…

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Q: Compute the volume bound by the surfaces z=0 x2+y2=1 4x+4y+7z=8

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Q: Find the volume of the solid bounded by the plane 7x + 3y + 4z = 3 in the first octant. Leave your…

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Q: Find the volume of the solid S under z = 3 + 2 cos x^2 and restricted by a triangle in the xy-plane…

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Q: Find the volume of the solid region bounded in the first octant by the plane. z = 12 - x - 3y X…

A: The question is from the topic advanced calculus

Q: Find the volume of the solid bounded by the elliptic paraboloid z = 2 + 5x² + 4y², the planes x = 4…

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Q: Find the volume of the region that is bounded by the spheres x2 + y? + z2 = 1, x2 + y? + z2 = 36 and…

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