Show that for any x, y E R2 we have doo (x, y) ≤ d₂(x, y) ≤ d₁(x, y). Under Under what conditions is what conditions on x and y is doo (x, y) = d2(x, y)? d₂(x, y) = d₁(x, y)?

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A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

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A: We integrate this by making two path where for one path only y vary and for other path only x vary.

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A: (2)  Given that  f x, y = 4x3y2 + 3x2y3  (a)     ∂f∂x = 4y2∂∂xx3 + 3y3∂∂xx2       ⇒ ∂f∂x = 4y23x2 +…

Q: H.W: Find fr, fyy» fyx and fsy if f(x, y) = x+ y + xy XX ух

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…