Calculate the flux of the field F across the closed plane curve C. F=x²i+ y²j; the curve C is the closed counterclockwise path around the triangle with vertices at (0,0), (1,0), and (0,4) O A. -4 O B. 0 O C. 20 20 OD. 3

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Q: Calculate the flux of the field F across the closed plane curve C. F=xi+yj; the curve C is the…

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Q: Consider again the vector field F = (x + y)i + (x² + y² )j. What is the downward flux across the…

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Q: Calculate the circulation of the field F around the closed curve C. Circulation means line integral…

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Q: 16. Compute the flux V· nds of the vector field V(r, y) = (x² – 2ry, y² – 2xy) across the curve C :…

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Q: 2. Find the circulation and flux of the field F(r.y) = (-y,r) along and across the curve 7(1) =…

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Q: 6) Given a hemisphere bounded by S,: z = /25 – x2 – y? and S2:z = 0.Find the outward flux of the…

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Q: 12. Find the flux of the field F(x, y, z) = 4xi + 4yj + 2k outward (away from z-axis) through the…

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Q: - Here is a graph of the vector field F(r, y) = r²i+ y°j. 2 (a) Calculate div F. (b) For which…

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Q: 3. For the vector Field E = -(x² + 2y²)âx + (xy)ŷ calculate E dl around the triangular contour (V×…

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Q: Calculate the flux of the field F across the closed plane curve C where F= xi+ vj and the curve is…

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Q: 25. Evaluate |F•T ds for the vector field F = x²i – yj along the curve x = y? from (4, 2) to (1,–1).

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Q: Q4: A- Find the flux of the field F = i+j+k √√x² + y² +2² bounded below by the plane z-0 and bounded…

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