tind the Uolome of the solid that lies Para boloid R:[0,1] x[ 1,3] Under the elliptic 2: 3y? tx²+2 ļ a bouc the Rectangle %3D

Q: the volume of the solid enclosed by the paraboloids z = = 16 (x? + y?) and z = 18 – 16 (x² + y²

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Q: Find the volume of the solid that lies under the elliptic paraboloid x2/9 + y2/16 + z = 1 and above…

A: Volume in xy-plane

Q: Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that…

A: we have to find the volume by cylindrical coordinates of  ∬∫E(x+y+z) where E is solid in the first…

Q: Find the volume of the solid that lies under the elleptic paraboloid x2/9 + y2/16 + z + 1 and above…

A: Given the elleptic paraboloid x2/9 + y2/16 + z = 1  And rectangle R = [-1, 1] x [-3, 3] We have to…

Q: 9. S is the part of the cone surface z = oriented upward (no top). Vx2 + y? that lies under the…

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Q: Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that…

A: To evaluate ∫∫∫Ex+y+zdV, where E is the solid in the first octant that lies under the paraboloid…

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z=3y^(2)−x^(2)+4 and above…

A: The volume of the solid is determined by

Q: The simple solid Q, drawn in the first octant and generated by the surfaces y – 1 = (x – 2)² | 3x +…

A: We have to draw the solid Q in first octant and is generated by the surfaces  y- 1=( x- 2)2 3x+2z=11…

Q: a) Let G be the wedge in the first octant that is cut from the cylindrical solid y² + z? < 4 by the…

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Q: FIs () Use spherical coordinates to evaluate 1- av where the solid E lies above the cone z=V+y*,…

A: We have to evaluate.I=∭Exzdv, using spherical coordinate  Consider, where the solid E lies above…

Q: The volume of the solid bounded above by the paraboloid z = 4 – x? – y? and bounded below by the…

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Q: Evaluate (Vx A). ndS over the surface of intersection of the cylinders x + y a, = a which is…

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Q: Find the volume of the solid below

A: Given that the solid bounded below by the xy-plane, on the side by the sphere having radius 2, and…

Q: The volume of the solid that lies above the cone 0 = and below the sphere r= cos (0) is: (Here, r =…

A: Here we have to find the volume of the solid that lies above the cone θ=π6 and below the sphere…

Q: te the surface integral /| (32zi + 2zyj+ 2yzk) · ds S is the part of the parabola z = 15 – x² – y…

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Q: A solid lies above the cone z = V x² + y2 and below the sphere x2 + y2 + z2 = z. Write a description…

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Q: e of the solid E whose boundaries are given in rectangular located inside the circular cone x? + y?…

A: In this question we will use basic of calculus i.e volume of cone. We will simply draw the given…

Q: dv Use spherical Coordinares to compute H 2 where W is the solid bounded by the spheres 4 ty+z² =g…

A: Given I=∫∫∫wdVx2+y2+z2Where W is the solid bounded by the spheres x2+y2+z2=9 and x2+y2+z2=4.

Q: Consider z =- x² – y² (parabaloid) and z? = x? + y?(cone) for z > 0 1. Let V be the solid enclosed…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 4. Find the volume of the solid bounded by the plane z = 0 and the paraboloid z=1-x² - y². (if using…

A: Solution :-

Q: Evaluate y-dV, where E is the solid that lies within the cylinder x+y = 49, %3D above the plane z =…

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Q: Given the triple integral r1 (2+r r3dzdrd0 o J3r2 1. Draw the given solid and its projection onto…

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Q: The volume of the solid that lies above the cone z = V3/x2 + y? and below the sphere z = x? +y? + z2…

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Q: Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that…

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Q: 1. Consider the surface which is the part of the sphere r? + y? + 2? = 4 that lies above the cone z…

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Q: Find the volume of the solid bounded by the paraboloid z = 14 - 5x - 5y and the plane z=9 V= (Type…

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Q: 23. Evaluate /// p² dV, where E is the solid that lies within the cylinder a² + y? = 1, above the…

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Q: Find the volume of the largest box of the type shown in the figure, with one corner at the origin…

A: The volume of the box with one point at origin and another point at x,y,z is given by V=xyz. We want…

Q: A solid lies above the cone 2z = v x? + y² and outside the sphere x2 + y2+ z² = 6z. Write a…

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Q: The simple solid Q, drawn in the first octant and generated by the surfaces I = (y – 3)2 +1 42 + 3r…

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Q: The volume of the solid that lies above the cone z = v3/x² + y? and below the sphere z = x? + y² +…

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Q: 3) Find the volume of the solid enclosed by the paraboloid z = r + y?- 4 and the plane 2 = 5.

A: We have to find out the volume of given paraboloid equation   z2=x2+y2-4    with plane   z=5

Q: Use cylindrical coordinates. Evaluate II (x + y + z) dv, where E is the solid in the first octant…

A: To evaluate the below triple integral using the cylindrical coordinates, where E is solid in the…

Q: Find the volume of the solid that lies under the elliptic paraboloid z = 3y? – a? + 4and above the…

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Q: at lies above the cone z = obori 3x² + 3y² and below coordinates Draw the solid R

A: b) T drawn the solid of B as,

Q: Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that…

A: We need to find , triple integral  ∫∫∫E x + y +z dV  where E is the solid in the first octant that…

Q: Q2 (a) Find the volume under the surface z = 3x³ + 3x?y and over the rectangle R = {(x, y): 1 < x <…

A: Volume of the surface and surface  area using double integral

Q: Evaluate the triple integral [z² av if Q is a solid between the cone z=Vx²+ y? and the plane z = 1.…

A: Triple integral is used to integrate the fuction of three variable over three dimensional region. It…

Q: (b) the volume of the solid B that lies above the cone z = 3r² + 3y² and below the sphere x² + y² +…

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Q: Let Q be the solid bounded by surfaces z= Vx² + y? and z=2-x² - y? in the first octant. a) Sketch…

A: Let Q be the solid bounded by surfaces z=x2+y2 and z=2-x2-y2 in the first octant. Then we have to…

Q: Find the valume of the Solid bounded by the para boloid そ- 28-x2 152the cylinder x2+y?= 24 and xy-…

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Q: Find the surface area of a) The part of the plane 3x + 2y +z = 6 that lies in the first octant b)…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Use cylindrical coordinates. Evaluate the triple intergral   5(x3 + xy2) dV, where E is the solid…

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Q: A solid lies above the cone z = V x² + y2 and below the sphere x2 + y2 + z2 = z. Write a description…

A: We have, z=x2+y2            ⋯⋯1 Let us consider, x=ρsinϕcosθy=ρsinϕsinθz=ρcosϕ On substituting in…

Q: Find the surface area of the portion of the sphere x² + y? + z² = 8 that is cut out by the cone z =…

A: The objective is to find the surface area of the portion of the sphere x2+y2+z2=8 that is cut out by…

Q: Integrate f(r, y, z) = 8xz over the region in the first octant (r, y, z > 0) above the parabolic…

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Q: x2 + y? and the sphere Determine the volume of the solid enclosed by the paraboloid x² + 3y? + 2² =…

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Q: Find: the values of the constants a and b.

A: In this question, we find the surface area of the surface M in the first octant bounded by…

Q: Use cylindrical coordinates. Evaluate |I| 3(x3 + xy2) dV, where E is the solid in the first octant…

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Q: The wedge cut from the cylinder, x? + y² = 1 by the planes, z = -y and z = 0. Use a tripple integral…

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