This problem is based on finding out counter clockwise circulation and outward flux using greens theorem
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...
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 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 and curve C. F=5x®?i+ ex*yi
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)
3) (11 points) Consider the vector field Use the Fundamental Theorem of lLine Integrals to find the work done by F along any curve from 41. 1Le) to B(2. el) 4) (10 points) Consider the vector field F(x.y)-(r-yi+r+y)j and the circle C: r y-9. Verify Green's Theorem by calculating the outward flux of F across C (12 points) Find the absolute extreme values of the function .-2-4--3 on the closed triangular region in the xy-plane bounded by the lines x...
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)
Evaluate the line integralho2-r)dc + (x2+y2)dy, where Cis the triangle bounded by yx3,y, by two methods: (a) directly and (b) using Green's Theorem (counterclockwise circulation) 9. Evaluate the line integralho2-r)dc + (x2+y2)dy, where Cis the triangle bounded by yx3,y, by two methods: (a) directly and (b) using Green's Theorem (counterclockwise circulation) 9.
Consider the vector field F2(x, y)-(-y,z) and the closed curve C which is the square with corners (-1,-1), (1,-1), (1,1), and (-1,1) and is traversed counter-clockwise starting at (-1,-1) (a) Compute the outward flux across the curve C by calculating a line integral. (b) Use an appropriate version of Green's Theorem to compute the above flux as a (c) Compute the circulation of the vector field around the curve by computing a line (d) Use an appropriate version of Green's...
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...
(a) (15 F-(1+9) 9. points) Apply Green's theorem to evaluate φ F.nds, where (x2 +y)j, of a triangle with vertices (1,0), (0,1). (-1,0) oriented in the counterclockwise direction n is the outward-pointing normal vector on , and C is the boundary (b) (15 points) Evaluate directly the line integral p F- nds in part (a). (a) (15 F-(1+9) 9. points) Apply Green's theorem to evaluate φ F.nds, where (x2 +y)j, of a triangle with vertices (1,0), (0,1). (-1,0) oriented in...