4. Find the work done by the force F = (ry, y – x) when moved counterclockwise along the circle of radius one centered at the origin starting at the point (1, 0) and ending at the point (0, 1).

Q: Find the work done by the force F(x,y)=(x - y') i+xy´ j acting on a point while travelling along…

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Q: Find the work done by the force F = 9xy i + 6yj acting along the piecewise-smooth curve consisting…

A: Given that F=9xy i+6y2 j Let r=xi+yj+zk ⇒dr=dx i+dy j+dz k Now,  F.dr=(9xy i+6y2 j+0k)(dx i+dy j+dz…

Q: A particle is under the influence of the force F= (-cosh (4x4) + xy)i + (e-y + x)j. The corner…

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Q: 1. Find the work done by the force F(x, y, z) = (xz, z² – x, y ), along C, the curve defined by x =…

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Q: 10. Compute the work done by the force F(x, y) = (x²–y) i+xj acting on an insect as it moves along a…

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Q: 12. Calculate the work done by the by the force field, F, along the curve r(t). F = (y – a²) i+ (z –…

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Q: Given the force field F, find the work required to move an object on the given orientated curve. F =…

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Q: Find the work done by the force F (r, y) = yxi– (x – y) j over the straight line from (1, 1) to…

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Q: Find the work done by the force F(x, y) = acting on a point along the smooth curve C, where C is the…

A: The given question is from the topic of Advanced Calculus

Q: 6: Find the work done by the force F = -7y i+ 10x j along one loop of the curver = sin 70 (in the…

A: Given

Q: Find the work done by the force field F in moving a particle along the curve C. F(x, y) = (x - y°)i+…

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Q: Find the work done by the force F = 7i - 3j in moving an object from the point (2, 2) to the point…

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Q: Find the work done by the force F in mving an object from P to Q. F = 2i – 4j; P(0, 0), Q(3, 6)

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Q: A slender rod of constant density lies along the line segment r(t) = tj + (2 - 2t)k, 0≤ t ≤ 1, in…

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Q: Determine the work done by the force F"(x,y,z)=(x²y,xy). to move a particle along the line segment…

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Q: Find the work done by the force F = 3i − 9j in moving an object from the point (3, 3) to the point…

A: To find work done.

Q: Find the work done under the influence of the force E = 3xyi – 5zj + 10xk along the curve x= t² + 1,…

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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 following force field F(x, y) = 3(v+ 2)'0i + 30x (v + 2)°j %3D in moving…

A: The work done is a scalar quantity, which is equal to the dot product of force applied to the body…

Q: Calculate the work done by the force F(x, y) = y?î+ xyj in moving a particle along the line which…

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Q: Find the work done by the force F = 5i + 25j in moving an object from (0, 0) to (1, 6).

A: Using formula of work done,

Q: Exercise (3): Find the work done under the influence of the force F = 3xyi – 5zj + 10xk along the…

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Q: Find the work done by the force field F→(x,y)=54x^2y^2i→+(36x^3y−2)j→in moving an object from the…

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Q: Calculate the work done by the force field F on an object moving along a curve from P(−3, 9) to…

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Q: Find the work done by force F(x, y) = 4yi + 7xj + (x + y)k in moving an object along curve r(t) =…

A: To find the workdone along the given path

Q: F= (e* – y+ xcosh(x))i+ (y³/2 + x)j.

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Q: 6. Find the work done by the force F = 31 – 5j in moving an object from the point (2, 2) to the…

A: Given that the force F=3i-5j moving from the point (2,2) to the point (7,-13). We need to find the…

Q: Compute the work done by the force along the curve (use defini- tion): 1 F = [3r – y + y] curve is…

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Q: Find the work done by the force F= xyi + (y - x)j over the straight line from (1,2) to (3,6).

A: we have to find the work done by the given force

Q: Consider the force field F = (2rze"*: – 4, cos' z, r²e*** – 3y cos? z sin z - Find the work done by…

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

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Q: Find the work done by the force F = xy i + ( y - x)j over the straight line from (1, 1) to (2, 3).

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Q: The work done by the force F = in the displacement along the path C: r(t)=from the point (1,0,0) to…

A: To find the work done by a force

Q: Find the work done when a constant force F=16l bs moves a chair from x =2.4 to x =3.1 ft. along the…

A: Solve the following

Q: Ex.9 The work of the force F(x, y) = (x², xy²) along the boundary of the square [0, 1] x [0, 1]…

A: The given work force is Fx,y=x2,xy2 along the boundary of the square 0,1×0,1, counterclockwise…

Q: If an object moves along the line segment 'c' given by x = t, y = t?, t3 from P(0, 0, 0) to Q(2, 4,…

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Q: Find the work done by force F(x, y) = 2yi + 3xj + (x + y)k in moving an object along curve r(t) =…

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Q: Find the work done by the force F (x; y) = xyi-(y-x)j over the straight line from (1,1) to (2,3)

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Q: Suppose that an object moves in the positive direction along a coordinate line over the interval [a,…

A: Let the object moves in the positive direction along a coordinate line over the interval [a, b] Let…

Q: Find the work done by the force F= xyi + (y - x)j over the straight line from (-1,- 2) to (2,1).

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Q: 4. Find the work done by the force F(r,y,2) = (x,-z,2y) in moving straight from (0,0,0) to (1.1.0),…

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Q: Q7) The work done by the force F = 2j to move a particle from the origin to the point (3,3,3) is:

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Q: 1. Calculate the work done when a force F = 3xyî – y?j moves a particle in the xy-plane from (0,0)…

A: Take dot product along limit of integration and integrate

Q: Find the work done by the force F = 4xyỉ + (2x2 - 3xy)j by pushing a particle along the line segment…

A: Step:-1 Given Force is F→ =4xy i→ +2x2 -3xy j→ Here, given that particle moves along the line…

Q: Determine the force being experienced by a 2-microcoulomb charge at (-2,4,6) m due to another point…

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Q: Consider a beam of length 10m and negligible mass, modelled as a rigid body in the x-direction from…

A: Here I am attaching image so that you understand each and every step.

Q: Find the work done by the force field F(x,y) = x²yi + y²j around the circle with radius 2.

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Q: Find the work done by the force field F in moving an object on the line segment from A to B, where…

A: Given, Fx,y=2y32 i +3xy j To find the work done by the force field F in moving an object on the line…

Q: Find the work done by the force F(r) = x2 +1 in moving a particle along the T-axis from r = 0 to r…

A: The work done by a variable force F(x) in moving a particle along the x-axis is given by the…