Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and...
Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (5x - y)i + (5y - x) and curve C: the square bounded by x = 0, x = 9, y = 0, y = 9. The flux is (Simplify your answer.)
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.)
Use Green's Theorem to find the counterclockwise circulation and outwardlux for the field and curve po (Axy + 2Y²) 1 + (4x - 2y10 The outward flux is (Type an integer or a simplified traction) The counterclockwise circulation is (Type an integer or a simplified fraction)
and the curve C that is the 9. (i0 points) Consider the fiold F triangle bounded by V = 0,エ-1, and y-z. (a) Use Green's Theorem to find the counterclockwise circulation along C (b) Use Green's Theorem to find the outward flux across C and the curve C that is the 9. (i0 points) Consider the fiold F triangle bounded by V = 0,エ-1, and y-z. (a) Use Green's Theorem to find the counterclockwise circulation along C (b) Use Green's...
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)
Please solve this. (Calc 3) Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F=(x+y) i + (x-y)j; C is the rectangle with vertices at (0,0), (7,0), (7,3), аnd (0,3) ОА. – 42 Ов. о Ос.
Q2: Use Green's Theorem to find the work done by the force field F (e* -y3) i+ (cosy+ x3)j particle that travels once around the circle x2 + y2 = 1 in the counterclockwise direction. on a Q3: Q2: Use Green's Theorem to find the work done by the force field F (e* -y3) i+ (cosy+ x3)j particle that travels once around the circle x2 + y2 = 1 in the counterclockwise direction. on a Q3:
Using Green's Theorem, compute the counterclockwise circulation of Faround the closed curve C. F = (x - y)i + (x + y)j; C is the triangle with vertices at (0, 0), (4,0), and (0,9) 3) A 0.40-m3 gas tank holds 7.0 moles of Ideal diatomie Nitrogen gas at a temperature of 280k The Atomie mass of Nitrogen to 140 g/med. | R= 8.31 g/molok, latm = 101 kla Na = 6.023x10 motion KB31.38 x10 230/4) What is the mass of...
4. (18 points) Verify Stokes' Theorem in finding the counterclockwise circulation of the vector field, F - (r-i + (42)j + (r) k around the curve, C, where C is the triangular path determined by the points (6,0,0),(0,-4,0),and (0,0,10) . (i.e. calculate the circulation % F.iF directly, and then by using Stokes' Theorem and doing a surface integral.) Which way was easier? (Hint: You will need to find the equation of the plane that goes through these three points.) 4....
10. Use the Divergence Theorem to compute the net outward flux of the vector field F= <x^2, -y^2, z^2> across the boundary of the region D, where D is the region in the first octant between the planes z= 9-x-y and z= 6-x-y. The net outward flux is __. 11. Decide which integral of the Divergence Theorem to use and compute the outward flux of the vector field F= <-7yz,2,-9xy> across the surface S, where S is the boundary of...