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1. 5 marks] Find the work done by the force F(x, y) =-ri+yj applied to an...
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...
The force acting at a point (x, y) in a coordinate plane is F(x, y)- r-xit yj. Calculate the work done by E along the upper half of the circle x2 ya from (a, 0) to (-a, 0). where Irl The force acting at a point (x, y) in a coordinate plane is F(x, y)- r-xit yj. Calculate the work done by E along the upper half of the circle x2 ya from (a, 0) to (-a, 0). where Irl
Question 5. Let F = (xy+z) i - yj + xk. Find the work done moving an object along the twisted cubic r = 2ti+tj - tk, 0<t<1. (a) Write the integral in terms of t (4 points) (b) Evaluate the integral (2 points)
Problem 5 (10 points) Calculate the work done by a force field F, given by F(x, y) = (x + y, x - y) when an object moves from (0,0) to (1,1) along the path x = y2.
3. [10 Marks] Find the work done by the force F(z, y)-(e 2019y 233 cos(sin(4y )) 2 + + 1)y,-r + e 2019r 233 sin χ -(2 along the cardioid r 3+3 sin 0, 0 (0, 2m 3. [10 Marks] Find the work done by the force F(z, y)-(e 2019y 233 cos(sin(4y )) 2 + + 1)y,-r + e 2019r 233 sin χ -(2 along the cardioid r 3+3 sin 0, 0 (0, 2m
Find the work done by the force field F(x, y, z) = (x – y, x + z, y + z) in moving a particle along the line segment from (0,0,1) to (2, 1, 0).
(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
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...
Find the volume beneath z = f(x,y) and above the region described by the rectangle with vertices (0,0), (2,0), (2,3), and (0,3). f(x,y)=4x^2+9y^2 Hint: compute the double integral required to find the volume under f(x,y) using the limits of integration given by the region on the x-y plane.
Find the work done by the force field F on a particle that moves along the curve rve C. F(x,y) = 2xy i+ 3x j C: x=y from (0,0) to (1,1) Enter the exact answer as an improper fraction, if necessary. 1 W= Edit 2