Question: Given that the function F : R3 - R3 is defined as F(x, y, z) = (sin(x ty) +xz + 1,2 + 3y + 4z,

Given that the function F : R3 - R3 is defined

Given that the function F : R3 - R3 is defined as F(x, y, z) = (sin(x ty) +xz + 1,2 + 3y + 4z, y +2v1+ +z+1) Find a linear mapping T : R3 - R3 and a point a in R3 such that lim F(xty, y + 2z, z + 3x) - a - T(x, y, z) = 0. (x,y,z) -(0,0,0) Vac2 + y2 + 2 2 Hint: Use First Order Approximation Theorem

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