Determine whether F (2, y, z) = (2- x sin z)i + 2 cos yj-5z²k is a conservative vector field. We are trying to find Curl F; What is the definition of Curl F: = F XV XV a) Curl b) Curl = v c) Curl F = V. F d) Curl F =V x F

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A: To find the curl for the vector field  at the given point.Fx, y, z=6xyzi+6yj+6zkPoint=6, 7, 6

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A: As per Q&A guidelines we solve only part (b) and you can reposted next question seperately.

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A: Let us make a table to draw the vector field as shown in the image below.

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A: Solution:-

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A: The given function .We have to find the .

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A: This is a problem of vector calculus.

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A: The solution as follows :-

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Q: let c is a differentiable vector field then div(curl)=

A: This question is related to vectors.