Consider the function f(x, y, z) = x³ + 6xy²z+ y² + z. (a) Use the Jacobian Jf(a) to construct a linear (or affine) approximation L(x) to f near the point à = Q L(x) = (b) Find the values of the function f and the linear approximation L at the nearby point b = f(b) = L(b) = -0.96 1.03 -2.02

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