Code in python please ### Determine the Roots of the Simultaneous Non-Linear Equations:**Equations:**1. \((x - 4)^2 + (y - 4)^2 = 5\)2. \(x^2 + y^2 = 16\)**Instructions:****a. Use the Graphical Approach to Obtain Initial Guesses**- **Hint:** Rearrange the equations to solve for the 4 different \(y\) values. Plot all four of the equations \(y(x)\). Remember that the solution to a square root can be both positive and negative. - **For Example:** - \(y1 = \text{np.sqrt}(16 - x^2)\) - \(y2 = -\text{np.sqrt}(16 - x^2)\)**b. Use the 'root' Function from `scipy.optimize`.**This method can be employed to find the roots of the equations by using computational tools to refine the guesses obtained graphically.

In this question we have to write a python code for the given non-linear equations to plot graph to…

Determine the roots of the simultaneous non-linear equations: (x-4)² + (y−4)² = 5 x² + y² = 16 a. Use the graphical approach to obtain initial guesses (Hint: rearrange the equations to solve for the 4 different y values, plot all four of the equations y(x), recall that the solution to a square root can be positive and negative. For example: y1 = np.sqrt(16-x**2) and y2 =-np.sqrt(16-x**2)) b. Use the 'root' function from scipy.optimize.

Determine the roots of the simultaneous non-linear equations: (x-4)² + (y−4)² = 5 x² + y² = 16 a. Use the graphical approach to obtain initial guesses (Hint: rearrange the equations to solve for the 4 different y values, plot all four of the equations y(x), recall that the solution to a square root can be positive and negative. For example: y1 = np.sqrt(16-x2) and y2 =-np.sqrt(16-x2)) b. Use the 'root' function from scipy.optimize.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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