The ISBN of a book is a unique 13-digit code', also known as ISBN-13, that encodes information about the publisher, registrant, place of publication, and so on. If the ISBN-13 of a book is Y142Y3 · ·· Y13, then it must satisfy the following congruence: yi + 3y2 + y3 + 3y4 + y5 + 3y6 + y7 + 3ys + y9 + 3y10 + y11 + 3y12+ y13 = 0 (mod 10). (a) Find a book at home and take a picture of it showing the 13-digit ISBN. Then show that its ISBN satisfies this congruence. (b) Suppose you have another book whose ISBN is partially erased so that you can't read the fifth digit y5. Can you compute it using the above congruence? Explain why you can always do this. 978 - 1? 215 8 7 6 6 0 (c) What if two digits were removed from an ISBN-13? Would you be able to recover the ISBN? Demon- strate using your book from (a) as an example.

The ISBN of a book is a unique 13-digit code', also known as ISBN-13, that encodes information about the publisher, registrant, place of publication, and so on. If the ISBN-13 of a book is Y142Y3 · ·· Y13, then it must satisfy the following congruence: yi + 3y2 + y3 + 3y4 + y5 + 3y6 + y7 + 3ys + y9 + 3y10 + y11 + 3y12+ y13 = 0 (mod 10). (a) Find a book at home and take a picture of it showing the 13-digit ISBN. Then show that its ISBN satisfies this congruence. (b) Suppose you have another book whose ISBN is partially erased so that you can't read the fifth digit y5. Can you compute it using the above congruence? Explain why you can always do this. 978 - 1? 215 8 7 6 6 0 (c) What if two digits were removed from an ISBN-13? Would you be able to recover the ISBN? Demon- strate using your book from (a) as an example.

Name: How to do 5. a) with ISBN: 978-0-75664-979-1 The ISBN of a book is a u
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Description: How to do 5. a) with ISBN: 978-0-75664-979-1 The ISBN of a book is a unique 13-digit code', also known as ISBN-13, that encodes information aboutthe publisher, registrant, place of publication, and so on. If the ISBN-13 of a book isY1Y2Y3 · *· Y13,th

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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How to do 5. a) with ISBN: 978-0-75664-979-1

The ISBN of a book is a unique 13-digit code', also known as ISBN-13, that encodes information about
the publisher, registrant, place of publication, and so on. If the ISBN-13 of a book is
Y1Y2Y3 · *· Y13,
then it must satisfy the following congruence:
yı + 3y2 + y3 + 3y4 + y5 + 3y6 + y7 + 3ys + y9 + 3y10 + y11 + 3y12 + Y13 = 0 (mod 10).
(a) Find a book at home and take a picture of it showing the 13-digit ISBN. Then show that its ISBN
satisfies this congruence.
(b) Suppose you have another book whose ISBN is partially erased so that you can't read the fifth digit
Y5. Can you compute it using the above congruence? Explain why you can always do this.
978 - 1? 215 8 7 6 6 0
(c) What if two digits were removed from an ISBN-13? Would you be able to recover the ISBN? Demon-
strate using your book from (a) as an example.

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