Determine whether F(x, y) = xi +9yj is a conservative vector field. If so, find a potential function for it.

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Q: 1 Let N = (1, ∞), f(x) = = Find ||f||∞· x² Note: ||f|| = inf{a € R : [f(x)| ≤ a for µ – a.e. x € X}.

A: This is a problem of functional analysis.

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Q: 19. (a) Evaluate the line integral F. dr, for F(x, y) = ex−¹ i + xy j and C is given by r(t) = t² i…

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Q: Find the eigenvalues and eigenfunctions. 26. y" + Ay = 0, y (0) = 0, y' (π) = (

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