@) 2) Fs of (x) = -PFC (Psy) -} [ If f (x,y) → as 6004X proof. (H-w.) then в

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A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: prove for all x,y in R^n: (1+||x+y||) ≥(1+||x||)/(1+||y||)

A: Sol:- The inequality to be proven is: (1 + ||x + y||) ≥ (1 + ||x||)/(1 + ||y||) Let's start by…

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A: Given that: 4. f(x+h)-f(x)=9x2h+7xh2+5h35. (xα)'=αxα-1

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A: Given c(t)=(t2-4t, 9-t2)    ; -4≤t≤10

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A: For (f) ,We use a theorem that "if n∈ℤ and n≠0 then n2&gt;0.

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A: We have to find functional value.

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A: Let's solve for inflection points at which points.

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Q: Use moment generating functions to show that if X3 = X1 + X2, with X1 X3 - X V3 > vı, and X1 and X2…

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A: A ) ∀ x ∃ y(x&lt;y)

Q: 4) f (x) = fiod the interval Cs) on which %3D graph of f(x) is Concave up (if any)

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A: Here is the solution: