Write a PYTHON code to solve the following system of equations using the Newton-Raphson method. Let x = 1, y = 1, z = 1 for starting guesses and determine the solution to 4 sig figs. Display the final answers on screen using a print statement. f(x, y, z) = x³ - 10x + y − z = −3 g(x, y, z) = y³ +10y - 2x - 2z = 5 h(x, y, z) = x + y - 10z + 2 sin(z) = -5

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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**Problem Statement:**

Write a Python code to solve the following system of equations using the Newton-Raphson method.

**Initial Conditions:**

Let \( x = 1, y = 1, z = 1 \) for starting guesses and determine the solution to 4 significant figures. Display the final answers on screen using a `print` statement.

**Equations:**

\[
f(x,y,z) = x^3 - 10x + y - z = -3
\]

\[
g(x,y,z) = y^3 + 10y - 2x - 2z = 5
\]

\[
h(x,y,z) = x + y - 10z + 2 \sin(z) = -5
\]
Transcribed Image Text:**Problem Statement:** Write a Python code to solve the following system of equations using the Newton-Raphson method. **Initial Conditions:** Let \( x = 1, y = 1, z = 1 \) for starting guesses and determine the solution to 4 significant figures. Display the final answers on screen using a `print` statement. **Equations:** \[ f(x,y,z) = x^3 - 10x + y - z = -3 \] \[ g(x,y,z) = y^3 + 10y - 2x - 2z = 5 \] \[ h(x,y,z) = x + y - 10z + 2 \sin(z) = -5 \]
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