Express by repeated integrals, the volume of the solid bounded above by the plane 2x + 2y -:+1-0, on the sides by the planes y = x, x = 2, y = 0, and below by :=0. 2 : 2x+2y+1 a) Sdzdydx 2x+2y-zl b) S jdzdydx c) I [2x+2y+1 2y +1)dzdydx d) ( | dydx 0 00 e) [(2r+2y+l)dvdydz

Q: Determine the solid bounded by the surfaces 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octant.

A: Given surface is 9x2+4y2=30 and plane is  9x+4y-6z=0 Bounded region in first octane ⇒x≥0, y≥0, z≥0…

Q: Find the volume of the solid that lies under the plane 4x + 6y − 2z + 15 = 0 and above the rectangle…

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Q: 10. The part of the paraboloid x = y² + z² that lies inside the cylinder y² + z² = 9

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Q: Use divergence theorem to find the volume of quadric surface z² + 3y + 4x² = 3 with the solid region…

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A: Given: The equation is x=4-z2. To sketch: The given equation in three-dimensional space.

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A: Given x2+y2+z2≤4a2x2+y2=a2

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Q: If the volume of the solid in the first octant bounded by the planes x+2y+z=32 and 4x+2y+z=32 is [c…

A: first find the limit for x then take x=0 and find the limit for z then take z=0 then find the limit…

Q: Find the volume of the region under the surface z = corners (0, 0, 0), (6, 0, 0) and (0, 3, 0). 824…

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Q: Compute the volume of the solid bounded by the surfaces x2+y2=33y, z=0 and z=Vx²+y2.

A: We will use of cylindrical coordinates to find the volume of solid

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Q: sy2-3x²+9 J. Tra St 2 Convert x - gy dzdydx to integral of cyclındri cal coordinatcs then evaluate

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Q: Compute the volume of the solid bounded by the surfaces x2+y2=33y, z=0 and z=Vx²+y².

A: The objective is to compute the volume of the solid bounded by the surfaces x2+y2=33y, z=0 and…

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: 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: termine the solid bounded by the surfaces 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octan

A: The given solid is bounded by the surface 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octant.

Q: Which is the equation of a sphere with a center at (1,0,-2) with a volume of 36(pi)(u^3)? a.…

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Q: Evaluate the solid bounded by 2x+z=2 and (x-1)2+y2=z.

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Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 4ky+k² = 0 and…

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