

3. [10 Marks] Find the work done by the force F(z, y)-(e 2019y 233 cos(sin(4y )) 2 + + 1)y,-r + e...
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anyone solve this plz
3. [10 Marks] Find the work done by the force along the cardioid r # 3 + 3 sin ,0 E 10.2"]
3. [10 Marks] Find the work done by the force along the cardioid r # 3 + 3 sin ,0 E 10.2"]
3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evaluate the work done by F in moving a particle with unit mass along the curve C with parametrization r(t (sin t, t, 2t), 0 <t<T/2. 4. 8p] A thin wire has the shape of a helix x = sin t, 0 < t < 27r. If the t, y = cos t,...
(b) Find the work done in moving a particle along the path x-cos y, z 0 from y-0 to y 2m, in the field F(x, y, z)-c" cosy i-xe® sínyi + 2xe2: cos y k. (10 Marks) EvaluatelFdA for surface S: x-z2,0 F(x, y, z)--Зугі + zer cosyj + 3xz2k. (c) y 2,-1 251and (7 Marks)
(b) Find the work done in moving a particle along the path x-cos y, z 0 from y-0 to y 2m, in the field...
(1 point) Find the work done by the force field F(x, y, z) = 5xi + 5yj + 3k on a particle that moves along the helix r(t) = 1 cos(t)i + 1 sin(t)j + 5tk, 0 < t < 21.0
Please help solve the following question with steps. Thank
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3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done.
3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done.
9. The work done by the force F(x, y) (2at +e) i (4y in moving a particle -re from (0,0) to (1,1) along the curve y =x4 needs to be calculated. a. Show that F is a conservative vector field. b. Describe three different ways to calculate the work. Answer: 3 +1/e c. Calculate the work by a method of your choice.. a. Show that F=(y+yz) i + (x + 32 + xz) j +(9yz2 + y 1) k is...
1. 5 marks] Find the work done by the force F(x, y) =-ri+yj applied to an object that moves along the quarter circle from (2, 0) to (0, 2) 2. [6 marks Find the volume of the region beneath z (0,0), (1,0), and (1,2) y and the triangle with vertices
all questions clearly solved please
(2) If the point of application of a force F: R3 R moves along a curve C, then the work done by the force is W F.dr. (a) Find the total work done on an object that traverses the curve c(t) (cos(t), 2 sin(t), (b) Find the total work done on an object that traverses the straight line from (1,0,-2) (c) Explain why the answers in the previous two questions coincide and provide a way...
9. (8 marks) Let F be an inverse force field given by k F(r,y,z) r13 r, where k is a constant. Find the work done by F on an object as its point of application moves along the -axis from A(1,0, 0) to B(2,0,0)
9. (8 marks) Let F be an inverse force field given by k F(r,y,z) r13 r, where k is a constant. Find the work done by F on an object as its point of application moves...
Use Stokes' theorem to find the work done by the force field F(z, y, z)-<-r, z, y > along the positively oriented curve of intersection of the cylinder 2+y 1 and the plane 3x +z 4 9.
Use Stokes' theorem to find the work done by the force field F(z, y, z)- along the positively oriented curve of intersection of the cylinder 2+y 1 and the plane 3x +z 4 9.