Use a parameterization to find the flux | F.n do of F = 5xy i- 4z k outward (normal away from the z-axis) through the cone z = 6/x +y, 0szs6.

Q: Use a parameterization to find the flux F•n do of F = z°i+ xj – 4zk in the outward direction (normal…

A: We have to find the flux ∬SF·ndσ of F=z2i+xj-4zk in the outward direction across the surface cut…

Q: Use Stokes's Theorem to evaluate Jo F. dr. In this case, C is oriented counterclockwise as viewed…

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Q: 8. Find the flow of the velocity field F(x, y) = ( + y)î – (x² + y² )j along the circle a? + y² = 1…

A: According to the given information, it is required to find the flow of velocity field.

Q: Q) S = the part of the paraboloid z = 10-x^2-y^2 above z = 1 F = [x^3, xy, z] Find the flux of F…

A: Step:-1 Given that S is part of paraboloid z=10-x2-y2 above z=1 Since, given that z=10-x2-y2 and…

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: 55. Find the flux integral, using = xi +yj + z k . (a) /7 .dÁ ,where S, is the disk x = 5, y? + z² s…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Use Green's Theorem to calculate the work done by the force F on a particle that is moving…

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

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Q: Use Gauss' Divergent Theorem to calculate F. dS, where F = (2x + sen (e+1)) i+ 3yj+ cos(z?)k and S…

A: Given

Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z over the curve c(t) = (e',…

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Q: Use a parametrization to find the flux I F.n do across the surface in the given direction. F= - xi -…

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Q: Use V(P) = k / Kx, y, z2) ds Dp(x, y, z) where k = 8.99 x 10° N - m²/C°, to compute the electric…

A: Consider the provided question, VP=k∫C∂x,y,zDpx,y,zdswhere k = 8.99 x 109 N·m2c2. To compute the…

Q: Use a parameterization to find the flux F•n do of F = zʻi+ xj - 2zk in the outward direction (normal…

A: Given : A Parabolic cylinder z = 1 - y² by the planes x = 0, x = 1, and z = 0

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

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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: Let S be the cylinder x2 + y2 = a2, 0<=z <=h, together with its top, x2 + y2 <=a2, z = h.…

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Q: Given an autoregressive model y(t) + a1y(t – 1) + azy(t – 2) = e(t) derive and plot the area in the…

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Q: Use a parameterization to find the flux SSF. S plane x+y+z=5a that lies above the square 0≤x≤a,…

A: We have to find the flux

Q: SF - dr si F(x,y,2) = xy? i + (x² + y²)j+ 2yz k y r(t) = vE i + t² j + t k, 1sts4.

A: The solution are next step

Q: use a parametrization to find the flux ∬S F . n dδacross the surface in the specified direction. F =…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Evaluate the flux integral F-ds where Pis the part of the paraboloid -= 4-x -y above the xy plane…

A: Any integral which is to be evaluated at the surface is called the surface integral. Divergence…

Q: Calculate the moments of inertia (Ix and Iy) of the shaded area given in the figure with respect to…

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Q: Find the flow of the velocity field F = (y + z)i + xj - yk, where velocity is measured in meters per…

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Q: Use a parametrization to find the flux F•n do across the surface in the given direction. F= - xi -…

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Q: Use a parameterization to find the flux do of F = z²i+ xj – 4zk in the outward direction (normal…

A: Apply Divergence theorem to the given surface integral, ∬F.ndσ=∫∫∫DivFdV

Q: Suppose F(x, y) 4yi + 7xyj. Use Green's Theorem to calculate the circulation of F around the…

A: Given  F→x,y=4yi→+7xyj→ To calculate the circulation of F→ around the perimeter of a circle C of…

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

A: The given vector field is. Fx,y,z=z tan-1y2i^+z3 lnx2+4j^ +zk^ Let S be the top of the paraboloid…

Q: Use a parameterization to find the flux F•n do of F = z'i+xj- 4zk in the outward direction (normal…

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Q: Let x = u cos³ (v), y = u sin³ (v) (a) Sketch the region D in the xy-plane corresponding to 1 < u <…

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Q: Which of the following is the moment of inertia about the x-axis of the plate object with surface…

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Q: Find the flux of F across S, where F(x,y,z) = xˆi + yˆj + zˆk and S is the part of the cone z = √x2+…

A: Surface integral problem

Q: Which of the following is equivalent to the surface area of rotation of the function y on the…

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Q: Use the Divergence Theorem to calculate the outward flux of F = (r3 + y, y + z3, z3 + 23) across S:…

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Q: Use a parameterization to find the flux F•n do of F = z'i+ xj - 2zk in the outward direction (normal…

A: Firstly we find intersection of parabolic cylinder and plane .

Q: Use a parameterization R(u, v) of f (x,y) = xe*y to find the tangent plane to f(x, y) at the point…

A: Tangent plane at (x1, y1) to f(x, y) is given by below:

Q: Evaluate the line integral F. dr, where F (x, y) = (3+2xy) i+ (x² – 3y²) j and C is the curve given…

A: Given problem:-

Q: 5. Find the flux of F = 2xi + (x- y)j across the circle r(t) = acos[t] i + asin[t]j,t e [0,2n]

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Q: cmpute the flux integral &F.nas where F=-4x yù+ 4 and CW +y2-1 oriented anti. the circle x? dock…

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Q: Compute the line integral of the scalar function f(x,y,z)=2x2 +8z over the curve…

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Q: Use a parameterization to find the flux F•n do of F = z'i+xj-3zk in the outward direction (normal…

A: We have to fin the flux ∬SF⋅ndσ, where F=z2i+xj−3zk. The intersection of the parabolic cylinder…

Q: Use a parameterization to find the flux F•n do of F = 4xy i-32 k outward (normal away from the…

A: Given : vector field F→=4xy i^-3z k^ and cone z=3x2+y2, 0≤z≤3 To find : flux ∬SF→·n^ dσ of F→…

Q: Evaluate the line integral along the curve C. x+v +z ds, Cis the curve r(t) = 3t i + (9 cos ) j+ (9…

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Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z ver the curve c(t) = (et, t2…

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Q: Compute the line integral of the scalar function ƒ(x, y, z) = 2x² + 8z over the curve c(t) = (e¹,…

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Q: find the outward flux of F across the boundary of D. F = xz i + yz j + k D: The entire surface of…

A: Consider the given vector field. F = xz i + yz j + k

Q: Use a parameterization to find the flux F•n do of F = 6xy i – 5z k outward (normal away from the…

A: We have,

Q: See attached photo.  Please provide the flux.

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Q: Let F(x, y) = 2xy³i+ (1+ 3x?y?)j. (a) Demonstrate that F is conservative. (b) Find the potential…

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