Given f(x, y) = sin(x2) + xy³, find Duf(x, y) where u is in the direction of (1, 2). What is Duf(-2, 1)? What does this represent?

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A: Please see the below picture for detailed solution.

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A: The Solution is given below:-

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A: To find the extrem values of the following function and to determine where they occur.y=lnxx4

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A: (e).The given vector function is:r→(t)=t33i→+t22j→+12k→          for   0≤t≤1

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: Remove arbitrary constant in the given relation. y = Ae²x cos 3x + Be²x sin 3x

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