24 lire left. But if I tried to give them 9 lire apiece, I n would be lacking 32 lire. How many beggars came to my door, and how many lire did I have? 5. The two problems below are found in the Rechnung 2o (1552) of Adam Riese. Solve them. (a) A son asks his father how old he is. The father boghel (a) answers him by saying: If you were already as UCICA lo 10 much, half again as much, and a fourth again as alt 2e much older than you are now, and one more year, (b) you would be 100 years old. The question is, how olim 00 old is the son? i (b) Seven florins from Padua may be exchanged for 5 at Venice, and 10 florins at Venice are worth 6 at Nuremberg. Also 100 florins from Nuremberg (c) beoclq 2a ni loordo are worth 73 at Köln. What is the value in Köln of 100 Paduan florins? 6. Use Napier's rods to multiply 458 by 79. ப 7. From the definition of Napier's logarithm, derive the 1o isM imortin sm bns formulas: 18:OLIA Nap. log M – (b) (a) Nap.log(M/N)= botask dhiwid Nap. log N + Nap. log 1. Nap. log M" = r Nap. log M + (1 – r )Nap. log 1. 12. Vièta subst uodquou dided aid 8. If N = 107(1 – 10-7)", justify the equations below bno relating the Naperian logarithm of N to its natural bluog YAW y in v meth (a) (b) (c) (d) blnlogarithm: Ino sdi ted Nap. log N = logi-10-7(10-7N). = 10' log(1–10-7)107 (10-'N) v.(10-7N) = 107 log.(10'/N). %3D lo nam er N such that 13. To so to nd a René desc: A er Nap. log x
24 lire left. But if I tried to give them 9 lire apiece, I n would be lacking 32 lire. How many beggars came to my door, and how many lire did I have? 5. The two problems below are found in the Rechnung 2o (1552) of Adam Riese. Solve them. (a) A son asks his father how old he is. The father boghel (a) answers him by saying: If you were already as UCICA lo 10 much, half again as much, and a fourth again as alt 2e much older than you are now, and one more year, (b) you would be 100 years old. The question is, how olim 00 old is the son? i (b) Seven florins from Padua may be exchanged for 5 at Venice, and 10 florins at Venice are worth 6 at Nuremberg. Also 100 florins from Nuremberg (c) beoclq 2a ni loordo are worth 73 at Köln. What is the value in Köln of 100 Paduan florins? 6. Use Napier's rods to multiply 458 by 79. ப 7. From the definition of Napier's logarithm, derive the 1o isM imortin sm bns formulas: 18:OLIA Nap. log M – (b) (a) Nap.log(M/N)= botask dhiwid Nap. log N + Nap. log 1. Nap. log M" = r Nap. log M + (1 – r )Nap. log 1. 12. Vièta subst uodquou dided aid 8. If N = 107(1 – 10-7)", justify the equations below bno relating the Naperian logarithm of N to its natural bluog YAW y in v meth (a) (b) (c) (d) blnlogarithm: Ino sdi ted Nap. log N = logi-10-7(10-7N). = 10' log(1–10-7)107 (10-'N) v.(10-7N) = 107 log.(10'/N). %3D lo nam er N such that 13. To so to nd a René desc: A er Nap. log x
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Topic Video
Question
Number 5 a&b
Transcribed Image Text:24 lire left. But if I tried to give them 9 lire apiece, I
n would be lacking 32 lire. How many beggars came to
my door, and how many lire did I have?
5. The two problems below are found in the Rechnung
2o (1552) of Adam Riese. Solve them.
(a)
A son asks his father how old he is. The father
boghel
(a)
answers him by saying: If you were already as
UCICA
lo 10 much, half again as much, and a fourth again as
alt 2e much older than you are now, and one more year,
(b)
you would be 100 years old. The question is, how
olim 00 old is the son?
i (b)
Seven florins from Padua may be exchanged for
5 at Venice, and 10 florins at Venice are worth 6
at Nuremberg. Also 100 florins from Nuremberg
(c)
beoclq 2a
ni loordo
are worth 73 at Köln. What is the value in Köln
of 100 Paduan florins?
6. Use Napier's rods to multiply 458 by 79.
ப
7. From the definition of Napier's logarithm, derive the
1o
isM
imortin
sm bns
formulas:
18:OLIA
Nap. log M –
(b)
(a) Nap.log(M/N)=
botask
dhiwid
Nap. log N + Nap. log 1.
Nap. log M" =
r Nap. log M + (1 – r )Nap. log 1.
12. Vièta
subst
uodquou dided aid
8. If N = 107(1 – 10-7)", justify the equations below
bno relating the Naperian logarithm of N to its natural
bluog YAW
y in v
meth
(a)
(b)
(c)
(d)
blnlogarithm:
Ino sdi ted
Nap. log N = logi-10-7(10-7N).
= 10' log(1–10-7)107 (10-'N)
v.(10-7N) = 107 log.(10'/N).
%3D
lo nam
er N such that
13. To so
to
nd a
René
desc:
A er
Nap. log x
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