(1, 2) on a particle that moves 2. (5 points) Find the work done by the...
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
Find the work done by the force field F on a particle that moves along the curve C. F(x,y)=xy i+x^2 j C: x=y2 from (0,0) to (4,2) Enter the exact answer as an improper fraction, if necessary. W=
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).
8. Find the work done by the force field F(x, y) = 3i + (2y)j on a particle moving along the line segment that runs from (1,3) to (3,9).
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
0/5 points I Previous Answers My Compute the work done by the force F (sin(, y, in moving an object along the trajectory that is the line segment from (1, 1, ) to (2, 2, 2) followed by the line segment from (2,2, 2) to (-3, 6, 5) when force is measured in Newtons and distance in meters. Submit Answer 0/5 points I Previous Answers My Compute the work done by the force F (sin(, y, in moving an object...
Find the work done by the force field F on a particle moving along the given path. F(x, y) = xi + 4yj C: x = t, y = 13 from (0, 0) to (2,8)
Find the work done by the force field F(x, y,2)= <2ay - :, x° +23, 2y-2x > in moving an object from point A(-3,-2,-1) to point B(1,2,3) along the following paths: a line segment followed by the arch of a cycloid, followed by the top half of a parabola, and followed by another line segment at the end. Evaluate for full credit. (9 pts)
Please solve these three questions! (1) Length of graphs a) Let a path C be given by the graph of y g(x), a 3 < b, with a piecewise C1 function g : [a, b - IR. Show that the path integral of a continuous function f: IR2- R over the path C is b) Let g : [a, b] - IR be a piecewise C1 function. The length of the graph of g on (t, g(t)). Show that [a,b]...
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.