The following data is given:  x 1 2.2 3.4 4.8 6 7 y 2 2.8 3 3.2 4 5 (a) Write the polynomial in Lagrange form that passes through the points; then use it to calculate the interpolated value of y at x = 5.4 .  (b) Write the polynomial in Newton's form that passes through the points; then use it to calculate the interpolated value of y at x = 5.4 .

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