Find div F and curl F if F(x, y, z) = 10e²y i − 4 cos y j + sin² z k.

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A: The solution is given below

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Liv F and curl F if F(x, y, z) = xºi - 2j+yzk. F= F=

A: Topic:- application of derivatives

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Q: Determine whether the Mean Value theorem can be applied to fon the closed interval [a, b]. (Select…

A: Please see the below picture for detailed solution.

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Q: 7). but you have not said if the diverges test applies or not . please xeplain the final solution ?

A: This question can be solved using the concept of divergence test.

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Q: Use the formula k(t) k(t) = "(t) || ||r' (t)||³ r(t) = 11 cos(3t)i + 11 sin(3t)j + 2tk ||r' (t) = to…

A: The given formula is; κt=r't×r''tr't3 And rt=11cos3ti+11sin3tj+2tk   As we know the Chain rule:…

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A: True.

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Q: Find div F and curl F if F(x,y,z) = x³i - 6j+yzk.

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A: f(t) = 8 sin23t.

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