4) Compute the absolute and relative error with the exact value from question 1 and its 3 digit rounding

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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Please solve 4 through 6 in Python. Please show the code

1) Use double precision, calculate the resulting values (format to 5 decimal places)
a) 010000000111111010111001
2) Repeat exercise 1 using three-digit chopping arithmetic
3) Repeat exercise 1 using three-digit rounding arithmetic
4) Compute the absolute and relative error with the exact value from question 1 and its 3 digit
rounding
5)
f(x) = 2 (-1)^(1/²)
k=1
Consider the infinite series: f(x)=(-1)*|
What is the minimum number of terms needed to computer f(1) with error < 10-4?
6) Determine the number of iterations necessary to solve f(x) = x³ + 4x² − 10 = 0 with
accuracy 104 using a = -4 and b = 7.
a) Using the bisection method
b) Using the newton Raphson method
Transcribed Image Text:1) Use double precision, calculate the resulting values (format to 5 decimal places) a) 010000000111111010111001 2) Repeat exercise 1 using three-digit chopping arithmetic 3) Repeat exercise 1 using three-digit rounding arithmetic 4) Compute the absolute and relative error with the exact value from question 1 and its 3 digit rounding 5) f(x) = 2 (-1)^(1/²) k=1 Consider the infinite series: f(x)=(-1)*| What is the minimum number of terms needed to computer f(1) with error < 10-4? 6) Determine the number of iterations necessary to solve f(x) = x³ + 4x² − 10 = 0 with accuracy 104 using a = -4 and b = 7. a) Using the bisection method b) Using the newton Raphson method
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