Use Stoke's Theorem to find the work done by the force field F(x, y, z) = (ein z + 2y², 6x + tan¬1 y, xz) %3D in moving a particle one time along the positively oriented triangle with vertices at (2,0,0), (0, 1, 0) and (0, 0, 2).

Q: Find the flux of the field F = 2xy i + 2yz j + 2xz k upward across the portion of the plane x + y +…

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Q: Find the flux of the vector field F = (y, – z, x) across the part of the plane z = 4 + x + 2y above…

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Q: work done by a force F = (x(z + 1), y(z + 1), −xyz) on a closed trajectory r(t) = (cos(t),sin(t),…

A: Given, F=xz+1,yz+1,-xyzrt=cost,sint,0 , 0<t<2π

Q: Use Green's Theorem to find the work done by the force field F(r, y) = (e" – y³)î+ (x³ + cos y)ĵ on…

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Q: Find the work done by the force field F(x, y, z) = 2xi+ 2yj+7k on a particle that moves along the…

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

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 4y³/2 i + 6x√y j…

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Q: Find the work done by the force field F in moving an object from P to Q. F(x, y) = e-Y i – xe-Y j…

A: Solve

Q: Find the work done by the force field F in moving an object from P to Q. F(x, y) = x°i + y°j; P(1,…

A: Here, the objective is to find the work is done by the force field F in moving an object from P to…

Q: Use Green's theorem to find the work done by the force field F(x,y) = xyi + x+xy j on a particle…

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Q: 3. Use Green's theorem to find the work done by the force field F(x,y) = xyi + (;x² + yy)j on a…

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Q: Find the work done by the force field F(x, y, z) = 4xi + 4yj + 6k on a particle that moves along the…

A: Explanation of the answer is as follows

Q: Find the work done by the force field F(x, y, z) = 3xi + 3yj + 6k on a particle that moves along the…

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Q: Find the flux of the vector field F = (z, y°, through the helicoid with parameterization r(u, v) =…

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Q: 2. Let C be the curve of intersection between the cylinder r2+y = 1 and r-2y+z = 0, oriented…

A: The complete solutions are given below

Q: Find the work done by the force field  F(x, y, z) = y + z, x + z, x + y  on a particle that moves…

A: Given that the force field,

Q: Find the work done by the force field F(x, y, z) = 5xi + 5yj + 2k on a particle that moves along the…

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Q: How much work is required to move an object in vector force field F = (yz, xy, xz) along path r (t)…

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Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 6y3/2 i + 9xyj…

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Q: Find the work done by the force field F(x, y, z) = (y + z, x + z, x + y) on a particle that moves…

A: It is known that

Q: Consider the force field F = (ev – e2" , (x + })ev) and the curve C = C¡U C2 where Cı is the line…

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: Find the work done by the force field F(x,y) = x²i – xy²j around the circle (Clockwise direction)…

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Q: Find the work done by the force field F(x, y, z) = (x – y², y – z?, z – x2) on a particle that moves…

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Q: Find the work done by the force field F(x, y) = xi + (y + 7)j in moving an object along an arch of…

A: Given  Fx,y=xi+(y+7)j in the moving an object along an arch of the cycloid dr

Q: Find the work done by the force field F(x, y) = x sin y i + y j on a particle that moves along the…

A: Explanation: Given that,  Force F and a parabola from (-1,1) to (2,4)…

Q: Without using a potential function, find the total work performed by the force field F(x, y) =…

A: The work done by the path E is given by, W=∫EF.dr If the force vector is: F(x,y)=<2xsiny+y2ex,…

Q: Find the flux of the vector field F = (y, – z, x) across the 2 + 4x + 3y above the rectangle part of…

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

Q: Consider a particle that moves through the force field F(x, y) = (y - x)i + xyj from the point (0,…

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Q: Use Green's theorem to find the work done by the force field F(x.y) %3D хyi + 1 x²+xy]j on a…

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Q: Find the work done by the force field F(x, y) = x sin y1 + y J on a particle that moves along the…

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Q: Use Green's Theorem to find the work done by the force field F(x,y)= (x3-x2y)i+xy2j   on a…

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Q: Find the work done by the force field F(x, y) = xi + 2yj on a particle moving along the path C:x =…

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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: Find the work done by the force field F in moving an object from A to B. F(x, y) = 2y3/2 i + 3x/ỹ j…

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Q: Use Stoke's Theorem to find the work done by the force field F(x, y, 2) = (ein + 2y?, 6x + tan- y,…

A: Given : force field              F→x, y, z=esinx+2y2, 6x+tan-1y, xz To find : work done by the force…

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) %3D 2y3/2 i + 3x/у…

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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: Calculate the work done by the force field F(x,y, z) = [x² + 10z² i+(y² + 14x² ]j+ z² + 12y² ]k +…

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Q: Compute the flux of the vector field F(x, y, z) = 3xj + 3yk through the surface S, where S is the…

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Q: Consider the force field F(r, y, z) = [y(1+2rz*)]i + [r(1+ r2*)lj + (3r²yz?)k. Show that the field…

A: A vector field  f will be conservative if  ∇×f=0 Note : As only one question is allowed to be solved…

Q: Consider the closed, solid region E between the paraboloid z = 4 – x? – y? and the xy-plane, and…

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Q: Use Green's theorem to calculate the work done by the force F(x, y) = xy'i + 3xyj on a particle that…

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Q: Use Stoke's Theorem to find the work done by the force field F(x, y, z) = (esin x + 2y², 6x + tan-…

A: We have to find the work done by the force field F→x,y,z=esinx+2y2,6x+tan-1y,xz in moving a particle…

Q: Use Green's Theorem to find the work done by the force F(x, y)= x(x + y)i + xy2j in moving a…

A: Force, F(x,y)=x2+xyi + xy2j The path of the particle is given as We are moving on a curve C that is…

Q: Find the flux of the force field F(x, y, 2) = (2, x + r², 1 – a² + y) across the portion of the…

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Q: (4) Use Stokes' Theorem to calculate the work-done by the force field F(r, y, z) = (x² + z²)î + (y²…

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Q: Find the work done by the force field F(x,y,z)=4xi+4yj+5k on a particle that moves along the helix…

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

A: Introduction: When we apply force 'F' to a block, the body accelerates or speeds up or down…

Q: Consider the force field F(x, y, z) = xi + yj + zk. Compute the work done in moving a particle along…

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Q: Find the flux of the vector field F = [x,y,z] through the oriented surface S: z= x^2 + y^2, z <= 1…

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Q: Find the work done by the force field F(x, y, z) = (x – y², y – z², z – x2) on a particle that moves…

A: We have to find the work done by the force field F(x,y,z)=&lt;x-y2, y-z2, z-x2&gt; on a particle…