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

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 of the given solid under the plane 3x+2y-z=0 and above the region bounded by y=x and…

A: Consider the given plane equation 3x+2y-z=0. Express the given plane equation as follows.…

Q: Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and above the rectangle. R=…

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Q: Find the volume of the region bounded above by the sphere x2 + y2 + z2 = 2 and below by the…

A: At the outset, let me tell you that the question has a typo error or you have not pasted the…

Q: n aro

A: Given a region bounded by y=x3,  y=8 and x=0.

Q: Find the volume of the given solid. Under the plane 7x + 2y – z = 0 and above the region enclosed by…

A: To  find the volume of the solid under the plane and between the region

Q: Find the volume of the given solid. Bounded by the coordinate planes and the plane  6x + 9y + z =…

A: Consider the plan 6x + 9y + z = 54 Rewrite the given plane and solve for z 6x + 9y + z =…

Q: Calculate the volume of the solid bounded by the cone z? = x² + y? and the cylinder x? + y2 = 4

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Q: Find the volume of the given solid. Under the plane 7x + 2y − z = 0 and above the region enclosed…

A: Given the plane 7x+2y-z=0 and the regio enclosed by the parabolas y=x2 and x=y2

Q: Find the volume of the solid bounded by the paraboloid z = 32 – x? – y², the cylinder r² + y² = 16…

A: A cartesian coordinate system contains three mutually perpendicular number lines named x axis, y…

Q: Find the volume of the given solid. Under the plane 9x + 2y – z = 0 and above the region enclosed by…

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Q: Find the volume of the solid in R bounded by y = r², r = y², z = x +y+36, and z = 0. %3D V =

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Q: Find the volume of the solid under the plane 3x + 2y – z = 0 and above the region enclosed by the…

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Q: Find the volume of the given solid. Bounded by the coordinate planes and the plane  8x + 3y + z = 24

A: The given plane is

Q: Determine the volume of the solid that is below the 3x+2y+z=12 plane and above the retangulo R={(x,…

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Q: Find the volume of the solid generated bounded by x = /y - 2, x y? – 4y + 4, rotated about the x-…

A: Washer Method : If f(x) and g(x) are two continuous non-negative function on a,b and f(x)≥g(x) on…

Q: Find the volume of the given solid. Under the plane 7x + 2y -z = 0 and above the region enclosed by…

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Q: Find the volume of the region bounded above by the sphere x'+y +z 2 and below by the paraboloid z=…

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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: Find the volume of the solid whose base in the xy plane is the region bounded by the graphs of y=x²,…

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

Q: Find the volume of the solid that lies under the paraboloid z = x + 3y and above the region x = y…

A: To find - Find the volume of the solid that lies under the paraboloid z = x2 + 3y2 and above the…

Q: Find the volume of the solid obtained by rotating the region bounded by I = 4y², y = 1, z = 0, about…

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Q: Find the volume of a solid enclosed by the parabolic cylinder y = x^2, the planes z = 0 and y + z =…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = Inr, y=1, y= 4 and r = 0…

A: shaded portion is the region of interest that is rotated around y-axis to make a solid. y=ln(x)…

Q: Find the volume of the solid bounded by the paraboloid z = 2 – 4x? – 4y? and the plane z =

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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.

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Q: Find the volume of the solid that lies under the paraboloid z=x5+y5 and above the region y=x2 and…

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Q: Find the volume of the solid bounded by paraboloid z =z+y and z *2-²+y and z = 4

A: To find the volume of the solid bounded by the below paraboloid and plane.

Q: Find the volume of the given solid. Under the plane 7x + 2y - z = 0 and above the region enclosed by…

A: The solution are next step

Q: Find the volume of the solid which is under the surface z = 16 – x² – y and above the plane z = 8.

A: Given

Q: Find the volume of the solid under the paraboloid z = 3x? + y² and above the region bounded by the…

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Q: Find the volume of the solid obtained by rotating the region A in the figure below about the line y…

A: Consider the given curves, y = x2 + 2 and y = -9. Find y when x = 3. y = 32 + 2 y = 11 The point of…

Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

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Q: Find the volume V of the solid below the paraboloid z = 6-x -y and above the following region.

A: We have to calculate ∬Rz dxdy

Q: Find the volume of the solid bounded by the plane z = 0 and the paraboloid z = 1 - x2 - y2.

A: To find the volume of the solid bounded by the plane z = 0 and the paraboloid z = 1 - x2 - y2.

Q: Find the volume of the solid bounded by z = -y, r=3cos(e) and the xy-plane. 0 8 3/8 3/7 56 14

A: Given, z=-y and r=3cosθ Volume V=∫∫Dz…

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

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Q: Find the volume of the solid bounded by the paraboloid z = 24 – x? – y², the cylinder x? + y? = 12…

A: Ans is 216 pi

Q: Find the volume of the given solid. Enclosed by the paraboloid 3x2 + 4y2 and the planes x = 0, y =…

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Q: 27T 3. x y2 and x + y = 2 is revolved about y = 1. (Answer: C. u.) 2

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Q: Find the volume of the solid bounded by the ellipsoid 4 = 1 49

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Q: Calculate the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the…

A: Given query is to find the volume of the solid.

Q: Find the volume of the solid bounded from above by the paraboloid z = 6 – a2 – y?, inside the…

A: In general volume, integrals are triple integral, which involves the integral with respect to x,y,…

Q: Find the volume of the solid that lies within the sphere x2 + y2 + z2 = 9, above the xy-plane, and…

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Q: Find the volume of the region that lies above the cone z = √x² + y² and between the spheres x² + y²…

A: Volume is the amount of space occupied by the closed surface. In this problem, the region is bounded…

Q: Find the volume of the solid bounded by y = x² , x = y° , z = x + y + 15, and z = 0.

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Q: Find the volume of the solid that lies under the paraboloid z = x² +y² and above the region D in the…

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Q: y =, x = 1, x = 4, and y = 0 is revolved about the y - axis.

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Q: Find the volume of the solid generated when the plane region bounded by: y=4/x, x=1, x=4, and y=0…

A: Given regions are y=4/x, x=1, x=4 and y=0.

Q: Find the volume of the given solid. Under the plane 3x + 2y – z = 0 and above the region enclosed by…

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