Exercise 3.10.23. [S][Section 3.3][Goal 3.2] How long is a year? In Fermi problems we often use 400 days/year to make the arithmetic easier. (a) What is the relative error when you use 400 days/year instead of 365 days/year? (b) What does the Google calculator tell you when you ask it for one year in days ? (c) Why isn't the answer above "365 days"? (d) What are the relative and absolute errors when you use Google's answer instead of days? (e) Why isn't Google's answer just "365.25 days" to take leap years into account?
Exercise 3.10.23. [S][Section 3.3][Goal 3.2] How long is a year? In Fermi problems we often use 400 days/year to make the arithmetic easier. (a) What is the relative error when you use 400 days/year instead of 365 days/year? (b) What does the Google calculator tell you when you ask it for one year in days ? (c) Why isn't the answer above "365 days"? (d) What are the relative and absolute errors when you use Google's answer instead of days? (e) Why isn't Google's answer just "365.25 days" to take leap years into account?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 35EQ
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![Exercise 3.10.23. [S][Section 3.3][Goal 3.2] How long is a year?
In Fermi problems we often use 400 days/year to make the arithmetic easier.
(a) What is the relative error when you use 400 days/year instead of 365 days/year?
(b) What does the Google calculator tell you when you ask it for
one year in days ?
(c) Why isn't the answer above "365 days"?
(d) What are the relative and absolute errors when you use Google's answer instead of 365
days?
Why isn't Google's answer just "365.25 days" to take leap years into account?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc8d5fe8-c51e-4914-8d45-6bcdd10da2fd%2F561c230d-8eef-4eec-bd4c-1ef36a15a8a7%2Fnp8hxx8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 3.10.23. [S][Section 3.3][Goal 3.2] How long is a year?
In Fermi problems we often use 400 days/year to make the arithmetic easier.
(a) What is the relative error when you use 400 days/year instead of 365 days/year?
(b) What does the Google calculator tell you when you ask it for
one year in days ?
(c) Why isn't the answer above "365 days"?
(d) What are the relative and absolute errors when you use Google's answer instead of 365
days?
Why isn't Google's answer just "365.25 days" to take leap years into account?
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