Find the work done by the force F= 6i – 2j in moving an object from the point (1, 7) to the point (8, –16).

Q: Find the work done by the force F = zi + xj+ yk in moving a particle along the curve x = t y = t²…

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Q: Find the unit tangent vector at the indicated point of the vector function r(t)=e^(18t) cos t…

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Q: Find the work done by a force q=5i+2j to move a body along the displacement from the points A(1,1,0)…

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Q: Find the work done by a force F = 4i + 9j (in N) in moving an object in a straight line from point…

A: Given:           F=4i+9j

Q: Find the work done by the force field F(x,y) = x² i– 2xy j in moving a particle along the quarter…

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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) = 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: 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 W done by a force F=31+7j Ib in moving an object in a straight line from point A (0,…

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Q: Find the work done by the force field F(r, y) = (2ry², 2x²y + 1) in moving a particle along any path…

A: The given force field is:  F(x,y)=2xy2, 2x2y+1

Q: Find the work done when a constant force F =16 lbs moves a chair from x =2.4 to x =5.1 ft. along the…

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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: Calculate the work done by the force F = (x + y)i + (1 y)j along the curve ellipse x^2 /9 + y^2 /4=…

A: We find the work done by the force F = (x + y)i + (1 y)j along the curve ellipse x^2 /9 + y^2 /4= 1…

Q: Given the f. conserrative :F(a,y)' Pind the work done to the while following vector Force field F,…

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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: Find the work done by the force F in moving an object from P to Q. F = 10i + 4j; P(2, 3), Q(6, –2)…

A: Given : F =10i + 4j , P(2,3) , Q(6,-2) r→ = (x2 - x1)i + ( y2 - y1)j     = (6-2)i + (-2 - 3)j     =…

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 by the force field F on a particle that moves along the curve C. F(x, y) = (2x +…

A: Formula: The work done by the force field F that moves along the curve C is: W=∫C F·dr Suppose the…

Q: Find the work done by a force F = −3j pounds applied to a point that moves on a line from (1, 3) to…

A: Given: F=-3j

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: Q6/ A boxful has been moved a distance (2m) in a F = 5.2 i+ 3J horizontal direction due to effect of…

A: Work done by a force is equal to the product of Force applied in the direction of distance and…

Q: Determine if the vector filed is conservative and if so find the potential function F (x, y) = 12xyi…

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Q: ut (X, Tof) be the cofinita to p. Jet A = {1,3]. etス=R B= Co1) %3D Fnd Ā ļ B.

A: Here given that X=R  Let A={1,3} and B=(0,1)

Q: D. Find the Iimit of the vector position r(t) = e "i+ j+ cos 2t k when t=0

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

A: Given that, Vector field is, F(x, y) = e-yi - xe-yj The points are, P(0, 8)  and  Q(2, 0) We have to…

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: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 61 a. |…

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Q: Find the work done by the force F = 7i − 9j in moving an object from the point  (8, 8)  to the…

A: Work done= Force X Displacement

Q: Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The…

A: We have to find vector function For this we have given equation of paraboloid and parabolic cylinder…

Q: Find the resulting force, R what additional force F is needed for the object to be in static…

A: F1 = -12i + 8j F2 = -9i - 15j F3 = 11i + 7j Resulting force is the sum of all the forces. Static…

Q: Find the work done by the force F in moving an object from P to Q. F = 200i + 45j; P(-1, 1), Q(300,…

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Q: 2. The block shown in Figure 2 is acted on by its weight W= 400 lb, a horizontal force F= 600 lb,…

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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) %3D 2y3/2 i + 3x/у…

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Q: The magnitude of the torque t developed by applying a force F at a point with position vector r at…

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Q: Find the work done by the force F = eyi + (ln x)j + 3z k, where force is measured in newtons, in…

A: Given information:

Q: 12. Determine the work done by the force, F, in the direction of the displacement, 3. F = 350N %3D…

A: Workdone

Q: Part 1: Three forces lying on the xy-plane are applied on a rock stuck on the ground (situated at…

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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 velocity and acceleration vectors in terms of u, and ue. de = 4t, where a is a constant dt…

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Q: Find the work done by the force F 3)ix2j in moving (0, 1) (2xy = an object from (1,0) to (0,1) along…

A: It is given that,

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 in moving an object from P to Q. F = 2i – 4j; P(0, 0), Q(3, 6)

A: First you will calculate the displacement which is equal to final position minus initial position.…

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

A: As per guidelines, we will solve the first question only.

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: For scalar functions u and v, show that B = (Vu) × (Vv) is solenoidal and that 1 A = (uVv – vVu) is…

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Q: Find the constants a, b, c so that the vector à = (-5x – 6y + az)i + (bx + y – 2z)j + (-3x + cy –…

A: Given the vector  A→=-5x-6y+azi→+bx+y-2zj→+-3x+cy-4zk→ Since the vector is irrotational the curl…