Practice problem
Use Newton's Method to approximate x3x_3x3 for f(x)=x2(3−x3); x1=12f(x)=x^2(3-x^3);\ x_1=\frac12f(x)=x2(3−x3); x1=21
x3≈0.05783x_3\approx0.05783x3≈0.05783
x3≈0.07375x_3\approx0.07375x3≈0.07375
x3≈0.09185x_3\approx0.09185x3≈0.09185
Newton's Method fails
Type a concept, like “slope” or “photosynthesis”.