. Consider the vector field F(r, y, 2) = (8r sin y, 4x² cos y – e"z, -e" – sec² z). %3D | F. dR where C is any smooth path from (1, 5,0) to (2, 0, 7). Evaluate

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Q: (x, y) (1.0) (2, 2) (3,0) (0, 1) (-2,2) (0, 3) F(x, y) (0, 1) (-2,2) (0.3) (-1,0) (-2,-2) (-3,0)…

A: This is a question of vector calculus.

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Q: xi + yj x2 + y2 F(x, y) = k-

A: Topic- vector integration

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Q: three decimal pI 1.1 ,Yi = i 2.51 X2 = i 1.2 ,Y2 = i 3.273 X3 = i 1.3 Y3 = 4.50283 X4 = i 1.4 Y4 =…

A: Consider the equation

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Q: 7. Sketch the vector field F = (x − y)î + yĵ. Identify where F₁ vanishes. Identify where F2…

A: According to our guidelines,i can solve only first please reroute the remaining question.

Q: Let C be the curve with parametrization r(t) : ,0 . Find the value of F · dr.

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Q: a) Show that F is conservative while G is not. b) Evaluate GdR, where C3 is defined by R(t) = tî +…

A: This is a problem of vector calculus.

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Q: If F = xyz i+ zxj +xy'z k then find curl F at (1, 2, – 1).

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