Use the divergence theorem to find the outward flux of F across the boundary of the region D. F = (5y – x)i + (3z - yj + (2y – 3x)k, D: The cube bounded by the planes x = +3, y = +3, z = +3 %3D 05 The outward flux is 234 The outward flux is 432 The outward flux is 234 The outward flux is -432 The outward flux is 0

Q: Use the Divergence Theorem to find the outward flux of F = 9y i + xy j- 2z k across the boundary of…

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Q: find the outward flux of F across the boundary of D. F =-2x i - 3y j + z k D: The upper region cut…

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Q: 4. Find the outward flux of F = (0,0, ze"e-) across the boundary of the region D where D: the cube…

A: We need to find the outward flux of F = <0, 0, zexe-y> across the boundary of the region D…

Q: Use the Divergence Theorem to find the outward flux of F= 8y i + 3xy j – 6z k across the boundary of…

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Q: Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. F = z…

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Q: use the Divergence Theorem to find the outward flux of F across the boundary of the region D. F = y…

A: The divergence theorem states:

Q: sing the Divergence Theorem, find the outward flux of F = 2xy 21 + 2x 2yj+ 5xy k across the boundary…

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Q: Let F (x, y, z) = and G be the solid | Let below the paraboloid % = 4 – x* – Y° and above the…

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Q: 5. Use Divergence Theorem to find the outward flux of F(x,y, z) = (y²z)î + (2xy)ĵ + (z)k across the…

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Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F =…

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Q: Let W be the three dimensional region under the graph of f(x, y) = exp[-2(x² + y)] and over the…

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Q: Let E be the region bounded by the hemisphere x² + y? + (z – 2)² = 4, 2 < z < 4, and the plane %3D z…

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Q: Use the Divergence Theorem to calculate F.dS, where F (x, y, 2) = x² yzi + 2yzj – xyzk and %3D S is…

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Q: Use the Divergence Theorem to calculate the flux of Flacross SI where F = zi + yj + zxk|and Slis the…

A: Given that F=zi+yj+zxk And, The objective is to find the .

Q: 5. Let F(x,y,z) = (3xy²)i + (xe²)j+ (z³)k. S is the closed surface bounded by the cylinder y? + z? =…

A: 9π/2

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = 3x³i + 3x²yj + 24xyk across the surface…

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Q: Use the divergence theorem to find the flux of F = [x²yz, -xy² z, 6 – 5z2| on the hemisphere S =…

A: Consider the given function. The divergence theorem is defined as. Now, find the value of div F.

Q: Let F(x, y, z) = z tan-1(y?)i + z In(x2 + 8)j + zk. Find the flux of F across S, the part of the…

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi + yj+ zxk and S is the…

A: See the details solution in below

Q: Let F = (y, x, z) and S be the surface of x2 + y2 0, y 2 0,0sz< 4. Then using the divergence…

A: Using divergence theorem, ∫∫SF→·n→dA=∫∫∫∇·FdV where ∇·F denotes the divergence of F here,  F=y, x, z…

Q: Let Q be the solid region x2 + y? + z2 = 16. F(x, y) = xỉ + 4yj+ 2z k . Use the Divergence Theorem…

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Q: Use the Divergence Theorem to evaluate F.N ds and find the outward flux of F through the surface of…

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Q: Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. 15) F=…

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Q: Use the Divergence Theorem to evaluate F.NO N ds and find the outward flux of F through the surface…

A: Note the following result :  Gauss divergence theorem : ∫∫SF⇀.N⇀dS =∫∫∫Ddiv(F⇀)dV ,where S is an…

Q: Use the divergence theorem to evaluate the flux of F(x, y, z) = 2xyi+ yzj+ z? k across the surface…

A: We will use Divergence theorem to evaluate the flux.

Q: Use the divergence theorem to find the flux of F(x, y, z) = (x+ y²)i + yj +k out of the rectangular…

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Q: Use the Divergence Theorem to find the outward flux of F = 2y i+ 5xy j- 6z k across the boundary of…

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Q: 22. Use the divergence theorem to set up only a triple iterated integral for the flux ff, F.ds,…

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F=zi+yj+zxk and S is the…

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Q: Use the Divergence Theorem to evaluate       SF · N dS and find the outward flux of F through the…

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = 3x°i+ 3.x²yj+ 33xyk across the surface…

A: According to the given information, it is required to use the divergence theorem to find the flux.

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D.…

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Q: Use the Divergence Theorem to find the outward flux of F = 2y i+ 5xy j- 4z k across the boundary of…

A: Given, F(x,y,z)=yi+5xyj-2zk Where S is the surface of the solid bounded by the cylindrical x^2+y^2≤4

Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi + yj + zxk and S is the…

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Q: Let F(x, y, z) = z tan-1(y2)i + z3 In(x2 + 4)j + zk. Find the flux of F across S, the part of the…

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Q: Use the Divergence Theorem to And the outward fux of F-7y-7Ay-8z k across the boundary of the regien…

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Q: Let F = (y, x, z) and S be the surface of x2 + y2 < 4, x 2 0, y 2 0,0 < z < 2. Then using the…

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Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F =…

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Q: use the Divergence Theorem to find the outward flux of F across the boundary of the region F = x3 i…

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Q: Use the Divergence Theorem to find the outward flux of F = (7x° + 12xy) i+ (3y° +2esin z) j+ (7z°…

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Q: use the Divergence Theorem to find the outward flux of F across the boundary of the region F = 2xz i…

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Q: Let F(x, y, z) = z tan-(y2)i + z³ In(x2 + 9)j + zk. Find the flux of F across S, the part of the…

A: Get points of intersection of the paraboloid and z=3:  Thus, point of intersection is a circle in…

Q: Use Gauss' Divergent Theorem to calculate F. dS where F = (2x + sen (et1)) i+3y²j+ cos(z²)k and S is…

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Q: Use the divergence theorem to evaluate Is F·N dS, where F(x, y, z) = yʻzi + y°j + xzk and S is the…

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Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F =…

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Q: QA-evaluate the flux of the filed F-xi+yj+zk through the upper part of the cylinder x² + z² = 1 that…

A: Given

Q: Use the Divergence Theorem to evaluate N ds and find the outward flux of F through the surface of…

A: We have to find the flux

Q: Use the Divergence Theorem to evaluate F.N dS and find the outward flux of F through the surface of…

A: Given Fx,y,z=x2i^+xyj^+zk^=Pi^+Qj^+Rk^ bounded by the coordinate planes and 3x+4y+6z=24 Hence the…

Q: use the Divergence Theorem to find the outwardflux of F across the boundary of the region D. F = (x…

A: To Determine: use the Divergence Theorem to find the outward flux of F across the boundary of the…