Use appropriate Lagrange interpolating polynomials of degrees three to approximate f(8.4) if f(8.1) = 16.94410, f(8.3) = 17.56492, f(8.6) = 18.50515, and f(8.7) %3D = 18.82091 O P3(x)=0.002083333334x^3+0.1120833334x^2+1.686 2.96077250 O P3(x)=0.002083333334x^3+0.1120833334x^2-4.686 5.96077250 O P3(x)=0.002083333334x^3+0.1120833334x^2+6.686 4.96077250 O P3(x)=1.002083333334x^3+0.1120833334x^2+22.68 2.96077250

Define f(x) = 4x - 3 x² + 1 -e-x. a) Evaluate f(0.9) and f(1.0) correct to 2 decimal places. f(0.9) = f(1.0) =

Letf (x) = 3x – 2 – 4x². Find the max/min and using the first derivative test determine if it is a min, a max, or an inflection point. x*=3/8, max Ox*=3/8, min Ox*=8/3, inflection point Ox*=3/8, inflection point ) x*=8/3, max Ox*=8/3, min