Using Green's Theorem, find the outward flux of F across the closed curve C. F= (x- y)i + (x+y)j; C is the triangle with vertices at (0,0), (10,0), and (0,5) O A. 0 В. 250 ОС. 100 D. 50

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A: (a)  (1, 3) (b)  (-1, 0) (c)  (0, -a) (d)  (b, 0) (e)  (-d, c) (f)  (g, -f)

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A: Introduction: In three-dimensional geometry, a line can also be described through a vector equation,…

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Q: 1. Find a unit vector perpendicular to the line passing through the points (1, 0, -3) and (2, 1,…

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Q: 2. Given the system of differential equations a' = 0.2x -0.005xy, y'= -0.5y +0.01.xy, which models…

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Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: Evaluate v (x? v + x y z²) · dr where C is the line segment from (1, – 1,0) to (2,1,3) | Select one:…

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Q: 14. Consider z as a function of the variables x, and which is defined by = In(x"y*) + and be P (-1,…

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Q: Let L₁ be the line passing through the points Q₁(-4, 5, −5) and Q₂(−1, 6, –2 and let L₂ be the line…

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t= 0. Q…

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Q: Let L be the line through the point Q=(-6, 9, -11) and direction vector [-1,2,-2]. Find the two…

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Q: Consider the points K (−1, 0, 7) and M(1, −2, 5), the vector MN = (1, 4, −3), and the line  I with…

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