B1. Consider the vector field F ¹ = z cos xi + x cos yj + y cos(z − 1)k. - on a path c(t) = t²i+t²ĵ + k beginning at t = 0 and ending at t = 1. (c) Using the field from part (a), compute the work integral [F.dr along the same path.

Q: For the vector field G = (yey + 3 cos (3x + y))i + (xeªy + cos(3x + y)), find the line integral of G…

A: We find the required integrtion using fundamental theorem of line Integral.

Q: Evaluate the integral curves for the vector field F(x,y) : i – 4xy²j . О a. - 4у — х2 = C 4x2y2 Ob.…

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Q: 2. Find the curl of the vector field. F = z°e* sin(2 y)i – e' cos yj+ xyzk to

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Q: For the vector field G = (yety + 4 cos(4x + y))i + (xey + cos(4x + y)) 5 I find the line integral of…

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Q: A scalar field is given by f = x2/3 + y2/3, where x and y are the Cartesian coordinates. The…

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Q: Let F be the vector field (-2 sin(2x - y), sin(2x - y)). Find two non-closed curves C₁ and C₂ such…

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Q: Find the curl of the vector field F = (3y cos(x), 5x sin(y))

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Q: Find the curl of the vector field F (6x sin(y), 2y cos(x)). curl F =

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Q: Let be a potential for the vector field F = (-24 x³z + 6 xyz², 3 x² z² + 15y¹, −6 x¹ + 6 x²yz - 10…

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Q: Find the curl of the vector field F = (5y cos(x), 4x sin(y)) curl F -

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Q: Find the curl of the vector field F curl F= (5y cos(x), 2x sin(y)).

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Q: For the vector field G = (yeay + 4 cos(4x + y))i + (xeªy + cos(4x + y))) , find the line integral of…

A: Given That : Vector field G→=yexy +4cos4x+yi^ +xexy +cos4x+yj^ . To Find : The line integral of G→…

Q: Use the equation giving the flux of the vector field across the curve to calculate the flux of x+1 y…

A: Consider the given function F(x,y).