Question 5. Let F = (xy+z) i - yj + xk. Find the work done moving...
Find the total work done on an object that traverses the twisted cubic C: r(t) = ti + t2j+tk, te[-1, 1] bergantung kepada satu daya subject to a force F(x,y,z) = xyi + yzj + xzk
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
Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the... Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the following paths. C1 =ti +tj +tk, C2 =ti + t2j + t4k, and C3∪C4 c1=7/6 c2=-1/5 what is c3uc4?
Let a, b and c be constants and let the force field be given by F(x,y,z) = ax i+by j+cz k. If the work done by the force field F on a particle as it moves along a curve given by r(t) = costi +te'sint j+tk 312 .Osts it, is equal to . Find the value of the constant c. 4 Answer:
Find the work done by the vector field F(x, y) = {xy i + áraj (the vector field from Question 1) on a particle that moves from (0,0) to (0, 1) (moving in a straight line up and along the y axis) and then from (0, 1) to (3, 2) along the curvey= Vx+1. Thus the path is given by along the curve y=x+1 (0,0) up the y-axis + (0,1) (3,2) 1 F. dr 2 F. dr = 0 18...
good evening. i need help with this calculus question. i will thumbs up your answer. Let C be the closed curve defined by r(t) = cos ti+ sin tj + sin 2tk for 0 <t<27. (a) [5 pts) Show that this curve C lies on the surface s defined by 2 = 2xry. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral s F. dr where F(x, y, z) = (y2 + cos z)i + (sin y +22)j...
Please help! Question 5 25 (5.1) Sketch some vectors in the vector field given by F(r, y) 2ri + yj. (3) (5.2) Evaluate the line integral fe F dr, where F(r, y, 2) = (x + y)i + (y- 2)j+22k and C is given by the vector function r(t) = ti + #j+Pk, 0 <t<1 (4) costrt>, 0St<1 (5.3) Given F(r, y) = ryi + yj and C: r(t)=< t + singat, t (3) (a) Find a function f such...
(b) Let F(r) be a force vector so that the line integral F(r)r is the work W done by F(r) along the curve C with parametric representation r(r) which is the displacement vector. Let m be the mass of the object. Prove that the work done on the object within te[to4 satisfies the equation W- cF(r).dr-îm v(r 2Г which states the work energy theorem: work done on an object equals to the change of kinetic energy (Hint I: Newton's second...
Find the work done by the force field F in moving an object from P(-5, 5) to Q(1, 3). Find the work done by the force field F in moving an object from P(-5, 5) to Q(1, 3). F(x, y) = 24 - -16/3
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...