📘 computational methods
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Newton System B0699D
1. **Problem Statement:** Solve the nonlinear system using Newton's method starting at $x=1$, $y=1$, $z=1$:
$$\begin{cases} x^2 + 4y^2 + 9z^2 = 34 \\ x^2 + 9y^2 - 5z = 40 \\ x^2 z