Exercise 3. Propagation of Error Suppose you want 1o cut 20 identical boards of length 4 feel. The procedure is to measure and cut the first board, then use the first board to measure and cut the second board, then use the second board to measure and cut the third board, and so on. (5a) What are the possible lengths of the 20 th board, if each time you cut a oft inch? board there is a maximum error (5b) What are the possible lengths of the 20-th board, if each time you cut a board there is a maximum error of t0.5% inch?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please read exercise 3, then answer 5a and 5b because they go together
Exercise 3. Propagation of Error Suppose you want 1o cut 20 identical boards
of length 4 feel. The procedure is to measure and cut the first board, then use
the first board to measure and cut the second board, then use the second board
to measure and cut the third board, and so on.
(5a) What are the possible lengths of the 20 th board, if each time you cut a
ofti inch?
board there is a maximum error
(5b) What are the possible lengths of the 20-th board, if each time you cut a
board there is a maximum error of t0.5% inch?
Transcribed Image Text:Exercise 3. Propagation of Error Suppose you want 1o cut 20 identical boards of length 4 feel. The procedure is to measure and cut the first board, then use the first board to measure and cut the second board, then use the second board to measure and cut the third board, and so on. (5a) What are the possible lengths of the 20 th board, if each time you cut a ofti inch? board there is a maximum error (5b) What are the possible lengths of the 20-th board, if each time you cut a board there is a maximum error of t0.5% inch?
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