Explain how many decimal places you believe you have correct, and how many steps of the bisection method it took. Try to get as many correct digits as you can. Also include timing results for your calcula- tions. 5æe-2² 117 <=0

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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Please use python and show the codes you used. The second picture was a similar example in class and the codes we used
: Find two non-zero roots of the equation
Explain how many decimal places you believe you have correct, and
how many steps of the bisection method it took. Try to get as many
correct digits as you can. Also include timing results for your calcula-
tions.
5xe-x²
1
--=0
Transcribed Image Text:: Find two non-zero roots of the equation Explain how many decimal places you believe you have correct, and how many steps of the bisection method it took. Try to get as many correct digits as you can. Also include timing results for your calcula- tions. 5xe-x² 1 --=0
import time
tol-math.pow(10,-9)
4
5
6 a=0
7 b-math.pi/2
8 error=((b-a)/2)
9 tick=time.time()
10
11 tock-time.time()
12
13
14
15
16
17
18
19
20
21
22
23
24
fa-(math.sin(a)-(a**2)+(1/2))
fb=(math.sin(b)-(b**2)+(1/2))
c=math.nan
if fa*fb<0:
while error>tol:
c=(a+b)/2
fc-(math.sin(c)-(c**2)+(1/2)
if fa*fc<0:
b=c
fb-fc
elif fb*fc<8:
25
26
27
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31
32
33
34 print()
PROBLEMS 2 OUTPUT DEBUG CONSOLE TERMINAL JUPYTER
a=c
fa=fc
error (b-a)/2
print()
print (c)
print (error)
print
print (tock-tick).
(math.sin(c)-(c**2)+1/2)
1.196082033731951
7.314590044771307e-10
-8.810062679387443e-10
9.5367431640625e-07
Transcribed Image Text:import time tol-math.pow(10,-9) 4 5 6 a=0 7 b-math.pi/2 8 error=((b-a)/2) 9 tick=time.time() 10 11 tock-time.time() 12 13 14 15 16 17 18 19 20 21 22 23 24 fa-(math.sin(a)-(a**2)+(1/2)) fb=(math.sin(b)-(b**2)+(1/2)) c=math.nan if fa*fb<0: while error>tol: c=(a+b)/2 fc-(math.sin(c)-(c**2)+(1/2) if fa*fc<0: b=c fb-fc elif fb*fc<8: 25 26 27 28 29 30 31 32 33 34 print() PROBLEMS 2 OUTPUT DEBUG CONSOLE TERMINAL JUPYTER a=c fa=fc error (b-a)/2 print() print (c) print (error) print print (tock-tick). (math.sin(c)-(c**2)+1/2) 1.196082033731951 7.314590044771307e-10 -8.810062679387443e-10 9.5367431640625e-07
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