10 In (²+1) • e 2.ƒ(x)= 10ln ·(1²+1)

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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Optimization: make the input as big or as small as possible in Python using Newton and Bisection methods. The picture below is an example from another problem we did (newton). Please show your codes.
2.ƒ(x)= 10 ln
1
x² +1
e
Transcribed Image Text:2.ƒ(x)= 10 ln 1 x² +1 e
import math
import time
#Want a root of f(x) = cos(x) = x^2/2
def f(x):
return math.cos(x) - X
tol=10**-15
a = 0.5
b = 1.5
Error (b-a)/2
c = math.nan
count = 0
tic time.time()
if f(a) f(b) < 0:
while (Error > tol) and (count < 1000):
c = (a+b)/2
if f(a) f(c) < 0:
b = c
elif f(b) f(c) < 0:
a = c
Error
count
(b-a)/2
count + 1
toc time.time()
runTime toc - tic
print ()
print (c)
print (Error)
print (f(c))
print (runTime)
print (count)
print ()
Transcribed Image Text:import math import time #Want a root of f(x) = cos(x) = x^2/2 def f(x): return math.cos(x) - X tol=10**-15 a = 0.5 b = 1.5 Error (b-a)/2 c = math.nan count = 0 tic time.time() if f(a) f(b) < 0: while (Error > tol) and (count < 1000): c = (a+b)/2 if f(a) f(c) < 0: b = c elif f(b) f(c) < 0: a = c Error count (b-a)/2 count + 1 toc time.time() runTime toc - tic print () print (c) print (Error) print (f(c)) print (runTime) print (count) print ()
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