Q2: Use Green's Theorem to find the work done by the force field F (e* -y3)...
Use Green's Theorem to calculate the work done by the force F on a particle that is moving counterclockwise around the closed path F(x,y) = (ex – 4y)i + (ey + 7x)j C: r = 2 cos(0) -11 POINTS LARCALC11 15.4.028.MI. MY NOTES ASK YOUR TEACHER Use Green's Theorem to calculate the work done by the force F on a particle that is moving counterclockwise around the closed path F(x, y) = (5x2 + y)i + 3xy?j C: boundary of...
4. Use Green's Theorem to calculate the work done by force F on a particle that is moving counterclockwise around the closed path C. Determine whether the vector field is conservative. C boundary of the triangle with vertices (0,0), (V5,0), (0,15). F(x,y) = (x3 - 3y)i + (6x +5/7);.
2. Find the work done by the force field F(x, y) = 2²7 + ryj on a particle that moves once around the circle r² + y2 = 4 oriented in the counter-clockwise direction.
Use Green's Theorem to calculate the work done by the force F on a particle that is moving counterclockwise around the closed path C. F(x, y) = (3x2+y)i + 3xy2jC: boundary of the region lying between the graphs of y = √x. y = 0, and x = 1
Use Stokes’ Theorem to calculate the work done by the force F⃗ = ⟨2y, xz, x + y⟩ on a particle moving counterclockwise around the curve of intersection of the plane z − y = 2 and the cylinder x2 + y2 = 1
Find the work done by the force field F= (y2/2, Z, x) in moving a particle along the curve C, where C is the intersection curve of the plane x +z = 1 and the ellipsoid x2 + 2y2 + x2 = 1 oriented counterclockwise when viewed from positive z— axis.
(2) Use Green's Theorem to evaluate (29+e") dr +(4x - Cosy)) dy. where is the circle 2+ = oriented in the counterclockwise direction
Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (9y2 - x?)i + (x2 +9y2); and curve C the triangle bounded by y = 0, x= 3, and y = x. The flux is (Simplify your answer.) The circulation is (Simplify your answer.)
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=
Using Green's Theorem, find the outward flux of F across the closed curve C with counterclockwise 6) F=(x2 + y2)i + (x - y)j is the rectangle with vertices at (0,0),(6.0).(6,7), and (0,7) Rotated counterclockwise Flux GI IS ONE DA (09) 5700 T (6,0) (9)