Consider the function ƒ(z) = (−1²+z) cos(z) — 2.5 for z ¤ [−6, 6]. Write a code that can automatically detect all roots within the given domain. You must use the function scipy.optimize.fsolve(). In detected roots on a plot along with the function y = f(z). Your code should be fully automatic without manual adjustment as m possible. The output should be similar to the sample shown below. roots [4.616 -2. 2.404 4.558] f(roots) [-0.00513193 -0.00311898 -0.00203753 -0.00615253] C:\Users\User\anaconda3\lib\site-packages\scipy\optimize\mi t making good progress, as measured by the improvement from the last ten iterations. warnings. warn (msg, RuntimeWarning) 10 -2 0- -10 -20 -30 -40 -6

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
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solve this using python

Consider the function f(x) = (-x² + x) cos(x) − 2.5 for x € [−6, 6].
Write a code that can autormatically detect all roots within the given domain. You must use the function scipy.optimize.fsolve(). Indicate all
detected roots on a plot along with the function y = f(x). Your code should be fully automatic without manual adjustment as much as
possible. The output should be similar to the sample shown below.
roots [-4.616 -2.
2.404 4.558]
f(roots) [-0.00513193 -0.00311898 -0.00203753 -0.00615253]
C:\Users\User\anaconda3\lib\site-packages\scipy\optimize \mi
t making good progress, as measured by the
improvement from the last ten iterations.
warnings. warn (msg, RuntimeWarning)
10
0-
-10
-20
-30
-40
-4
-7
N
O
Transcribed Image Text:Consider the function f(x) = (-x² + x) cos(x) − 2.5 for x € [−6, 6]. Write a code that can autormatically detect all roots within the given domain. You must use the function scipy.optimize.fsolve(). Indicate all detected roots on a plot along with the function y = f(x). Your code should be fully automatic without manual adjustment as much as possible. The output should be similar to the sample shown below. roots [-4.616 -2. 2.404 4.558] f(roots) [-0.00513193 -0.00311898 -0.00203753 -0.00615253] C:\Users\User\anaconda3\lib\site-packages\scipy\optimize \mi t making good progress, as measured by the improvement from the last ten iterations. warnings. warn (msg, RuntimeWarning) 10 0- -10 -20 -30 -40 -4 -7 N O
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