Use the Divergence Theorem to calculate the surface integral SSF. ds, which is the flux of F across S. F(x, y, z) = xye² i + xy² z³j − ye²k S is the surface of the box bounded by the coordinate plane and the planes x = 7, y = 4, and z = 1.

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A: f(u)= sin u u=g(x)=x2-9 To find (fog)'(3)

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: Given : a.

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A: Put value and solve

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A: We have to find the flux.

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A: Given: Now,                12y'-y=0⇒y'-2y=0⇒y'=2y⇒dyy=2dxIntegrating both sides, ⇒∫dyy=∫2dx⇒ln…

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A: Given: Deposit Amount = $6000 Interest rate = 6%

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A: To find which of the given options shows correct output for the given input.

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

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

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A: use differentiation and inflection points for finding the value of r.

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A: Please see the below picture for detailed solution.

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

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A: Given query is to find average rate of change.

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