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Consider the 2D region 𝐴 which represents part of the cross-section of the lens in the eye’s pupil (Figure 3). The area of 𝐴 is given by the sum of the areas of three subregions 𝐴", 𝐴!, 𝐴# as follows: 𝐴 = ...

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1. (a)Let||.||:R2 →[0,∞}bedefinedas||x||=|x1|+|x2|+|x1−x2|. Prove that ||.|| defined above is a norm on R2. (b) Using the norm defined in 1(a) above , find a positive number r, such that Br((2,1)) ⊆ B3((1,1)). (c) Using the norm defined in 1(a) above, ...

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Determine where each of the following functions from R to R is differentiable and find the derivative: f(x)=|x|+|x+1| Show all work please only need (a) Determine where each of the following functions from R to R is differentiable and find ...

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