Given that the total flux across the surface, S of the tetrahedron bounded by the planes x= 0, y=0, 125 z = 0 and z= 5 – x- y with outward orientation is 3

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A: Evaluation of the triple integrals

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Q: Without using the formula (Gauss), calculate S=∂E∫F(x).n(x)ds, where F(x) = x32k ,E : x12 + x22≤ x3,…

A: Typing the equation may be some mistake. 0≤x3≤1 and another 0≤x3≤11, first one i accept.

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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…

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Q: Evaluate the triple integral ///. zdV, where E 4. is bounded by the cylinder y2 + z? = 4 and the…

A: According to the given information, it is required to evaluate the triple integral.

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A: We have to find the center of mass of a solid of constant density bounded below by the plane z = 0…

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A: Here is the solution of the given problem:

Q: Evaluate the triple integral zdV where E is the solid bounded by the cylinder y² + z² = 64 and the…

A: Here, to evaluate: ∫∫∫Ez dV where E is the solid bounded by the cylinder y2+z2=64 and the planes…

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Q: ) Find the mass of the solid E that lies above the cone v3z = Vx² + y² and the spheres x2 + y² + z²…

A: Given:   The Solid lies above the cone 3z=x2+y2 and between the sphere x2+y2+z2=1 and  x2+y2+z2=4…

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Q: aluate the triple integral zdV, where E is bounded by the cylinder y? + z? = 9 and the planes a = 0,…

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Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given that: Height = 5 m Radius = 2 m We take a slice of height △x at a height x So the volume of…

Q: 1. Compute the average height of the cone z = a> 0. r² + y² above the disk x² + y² ≤ a² for

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Q: Evaluate the triple integral z dV, where E is bounded by the cylinder y? + z2 E 4 and the planes x…

A: To Evaluate: The triple integral ∫ ∫ ∫ E z dV  where E is bounded by the cylinder y2 + z2 = 4  and…

Q: Given that the total flux across the surface, S of the tetrahedron bounded by the planes x=0, y=0.…

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A: According to the given information, it is required to evaluate the triple integral.

Q: Evaluate the triple integral |//. z dV, where E is bounded by the cylinder y? + z2 = 4 and the…

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Q: さ=--3 egnisi ile %3D arasında kaln bölgenn og メートト=R etrafinda dondürüiheri ile dörel cismin bulr…

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Q: Find M Myr and (x, y) for the laminas of uniform density p bounded by the graphs of the equations. y…

A: The equation of the lamina are, y=fx=x y=gx=13x

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A: According to the given information, it is required to determine the center of the mass.

Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given: The total work required to pump all contents from the cylindrical tank of height 5 m and…

Q: Evaluate the triple integral zdV, where E is bounded by the cylinder y² + 2² = 4 and the planes z =…

A: Given problem:- Evaluate the ∫∫∫E z dV, where E is bounded by the cylinder y2+z2=4 and the planes z…

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Q: Find the mass and center of mass of the S solid bounded by the paraboloid z = 8x2 + 8y2 and the…

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Q: Find the mass of a thin wire lying along the curve r(t) = sqrt(2t) i + sqrt(2t) j + (4 - t2)k,…

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Q: The volume of the solid E bounded by the cylinder x + y² = 1, and the planes z = 1 and z = 3 in the…

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Q: For solid E in the first octant bounded by the plane 6x+12y+2==24, set up an integral to find the…

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