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-x**2) and y2 =-np.sqrt(16-x**2)) 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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Code in python please
![Determine the roots of the simultaneous non-linear equations:
(x-4)² + (y−4)² = 5
x² + y² = 16
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f1c68a1-c113-41cc-b0cf-42f2666e5687%2F8cbf368d-a6b9-4ba7-ac7f-7a54e69617b9%2F6qcenvs_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the roots of the simultaneous non-linear equations:
(x-4)² + (y−4)² = 5
x² + y² = 16
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.
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