Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F= (4y2-9x2)i + (9x² + 4y2) j and curve C: the triangle bounded by y = 0, x= 3, and y=x. The flux is (Simplify your answer.) C...
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- Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (2y² - 9x²)i + (9x² + 2y²) j and curve C: the triangle bounded by y = 0, x= 3, and y=x. The flux is. (Simplify your answer.)( - 9x) i+ (9x² +y*)j and curve C: the triangle bounded by y = 0, Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = x = 3, and y = x.A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by (x - y, z + y + 7, z?) and the net is decribed by the equation y = V1 – x? – z?, y 2 0, and oriented in the positive y- V = direction. (Use symbolic notation and fractions where needed.) v • dS =
- Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (y² - 5x²)i + (5x² + y²) j and curve C: the triangle bounded by y=0, x= 3, and y = x. The flux is (Simplify your answer.)A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v = (x-y, z + y + 3, z²) and the net is decribed by the equation y = √1-x²-2², y ≥ 0, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (x-4y)i + (5y - 4x)j and curve C: the square bounded by x = 0, x = 2, y = 0, y = 2. The flux is (Simplify your answer.) The circulation is (Simplify your answer.)
- A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by = (x - y, z + y + 9, z) and the net is decribed by the equation y = V1-x - z, y 2 0, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.) V. dS =Find the k-component of (curl F) for the following vector field on the plane. F = (x + y)i + (8xy)j (curl F) k= Get more help 67°F Light rain Clear ali+e³ j. shows the direction of the winds 2 in the sky on a windy day, viewing above. If you decide to fly a kite with the coordinates of [0.5, 0.5] in this vector field, what would be the path that your kite travel? Imagine the vector field generated by the function: F = The kite would fly towards the point with [2,-1] coordinate. The kite would fly towards the y = -0.5 line. The kite would fly towards the point with [1,1] coordinate. The kite would fly towards the point with [-2,-1] coordinate.
- Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (5y²-x²) i+ (x² + 5y²) j and curve C: the triangle bounded by y=0, x= 3, and y=x. The flux is (Simplify your answer.) CUse the equation giving the flux of the vector field across the curve to calculate the flux of F(x, y) = (e", 4x – 1) across C, the parabola y = x for 0 < x < 9, oriented left to right. (Use symbolic notation and fractions where needed.) F. dr = Ttterf (9i) - 2025 Incorrect