Use Lagrange interpolation to allow us to determine the value of y (10) using the points shown in the figure. a) Indicate the form of the polynomial to be determined according to the given points, y (x) = p_3 (x), b) Indicate the form of the polynomial L_ {n, k} (x) for k = 1, 2, .. nc) Determine the value of y (x = 10) using the Lagrange polynomial described in part (a). Note: Consider all points to define the polynomial x 9 11 y 12 13 14 16

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