1 Find the volume of the solid that is bounded on the front and back by the planes x = 1 and x = 3, on the sides by the cylinders y = ± by the planes z=x+2 and 2 = 0. ... The volume of the bounded solid is ulo 3 and above and below

Q: The area is bounded by the curves y2 4ax and y = 2x. Find: a. Area b. M, аnd My c. Centroid of the…

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Q: 6. The solid region bounded above by the cone z 8-√√x²+ y², on the sides by the cylinder x² + y² =…

A: The cone equation is :

Q: Let V be the volume of the region in R3 that is under the plane z = 12x, above the cy-plane, and…

A: The region is bounded by  and  above the  plane between the curve

Q: Find the volume of the solid enclosed by the surface z = x² + xy² and the planes z = 0, x = 0, x =…

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Q: E.X; Let T = {E₁ = (-∞,a): a = R}U{R,Ø} be a topology on R and let A = [2,3), B=(3,4), C = (1,5], D…

A: It is given that,  T = Ea=-∞, a : a∈ℝ∪ℝ, ∅ is a topology on ℝ. We have to find the closure of the…

Q: 1. Consider the matrices A₁ 4 = ( 1 ) - 1 3 0 A₂ 42 = (3-2) ₁ 4₁ = ( 2² -2²), , A3 0 -2 These…

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Q: Q3-Find the volume common by the plane x+y=a? & x*+z=a? ?

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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 under the plane z = 5x + y and above the region determined by y = x²…

A: To find the volume of the solid under the plane z = 5x + y and above this region, we need to…

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 volume in the first octant under the plane z=y and inside the cylinder y²=4-x.

A: Given that, the cylinder is y2=4-x and the plane is z=y. y2=4-xy=±4-x Note that, the volume is in…

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: The volume of the solid bounded below by the xy-plane, on the sides by p=1, and above by p=- = 5,4…

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Q: Find the volume of the solid generated by revolving the following region about the​ y-axis.   The…

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Q: Find the volume of the solid region in the first octant inside the cylinder x²+y2=4 and between the…

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

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

A: The given plane is:3x+2y+z=12The region in x-y plane is:R= (x, y) | 0≤x≤1,  -4≤y≤4