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 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: Determine the volume of the solid obtained by rotating the region bounded by y = a? – 4x + 5, a = 1,…

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Q: Find the volume of the solid obtained by rotating the region xy = 1, y = 0, x = 1, x = 2 about the…

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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: 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 region bounded by the paraboloid z = x² + y² and the plane x + y = 1 in the…

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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 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 solid bounded by z= - y, the xy-plane, and r=4 cos 0.

A: The answer is 8.33

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 region in the first octant inside the cylinder x²+y2=4 and between the…

A: Introduction: Finding a function's anti-derivatives is made easier with the aid of integral…

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 in the first octant bounded by the coordinate planes, the cylinder x2 +…

A: Consider the provided information, The cylinder x2+y2=4. And the plane z+y=3. Find the volume of the…

Q: Find the volume of the solid bounded by the paraboloid z = 8- 2x - 2y and the plane z = 0

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Q: Find the volume of a solid bounded by the paraboloid z² + y² = 4x and the plane x = 5

A: Given Data: Equation of Paraboloid: z2+y2=4x  ........... (1) Plane x=5

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 bounded by the paraboloid z = 24 – x²2 – y², the cylinder æ? + y² = %3D…

A: The solution are next step

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 which is (a) bounded by x+ y+z = 4 in the first octant.

A: As per our guidelines we are supposed to solve only one question. For the solution follow the next…

Q: find the volume of the solid obtained by rotating the region bounded by xy=1, y=0, x=1, x= 2 about…

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Q: Find the volume of the solid bounded by the paraboloid z = 28 – x? – y?, the cylinder x² + y? = 14…

A: To determine the triple integral,

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 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 that lies under the surface z = 4x + 5y + 20 and above the region D in…

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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: 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: 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 bounded by the paraboloid z = 16 – x² – y², the cylinder æ? + y² = 8…

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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 bounded by the paraboloids z = x? + y? and z = 2 – x² – y?. %3D %3D -

A: Consider the solid S bounded by the paraboloids z=x2+y2 and z=2-x2-y2. Find the volume of S.

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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