Prove that for any u, v € R" we have ||u+v||²+ ||uv||² = 2(||u||² + ||v||²).

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Q: For X = (x₁,...,xn), Y = (y₁, ..., Yn) € Rn, define n d(X,Y) := Σ |xi - vi| i=1 (a). Show that d is…

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Q: A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food,…

A: A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food,…

Q: dy Exercise 1.3.8: Find an implicit solution for dx = x² +1 , for y(0) = 1. y² + 1'

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Q: Problem 2: Show that for solutions of non-homogeneous Maxwell's equations, we have др Ət ·V. J.

A: Show that for the solution of the non-homogeneous Maxwell's equation we have .

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Q: (4) fc Z (z − 1)(z-2) (a) |²| = 5¹ (b) |z + 1 = 1, L12 -dz; (c) |z − 1|=₂¹ (d) |z| = 4

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Q: 8. Let w, z EC such that |w| > |z|. Prove that (n+1) | ²7. < W for all n E N. |w| |w| - |z|

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