Download - Model Eksponensial dan Logaritma
![Page 1: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/1.jpg)
MA205 Matematika Teknik I (3 sks)Dosen: Ir. Sihar, MT.Departemen Sistem Komputer – Fak. TeknikBandung 2003
Eksponensial dan Logaritma
![Page 2: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/2.jpg)
Referensi:
Ayres, F., Mendelson, E. Calculus - 5th edition. Schaum's Series. McGraw-Hill. 1999.
Edwards, L. Calculus-9th edition. Cengage Learning. 2010.
Walker, J. Fundamentals of Physics - 9th edition. John Wiley & Sons. 2003.
![Page 3: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/3.jpg)
Bilangan Euler (e) = 2.718281828459045
Didapatkan dari:
e = n
n)1
1(
![Page 4: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/4.jpg)
Bilangan Euler (e) = 2.718281828459045
Juga bisa didapatkan dari:
e = ...1234
1
123
1
12
1
1
11
!
1
0
xxxxxxnn
![Page 5: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/5.jpg)
Postulat:
ab
c
ac
cab
b
log
log
log
<script language=JavaScript> c=Math.log(10000); b=Math.log(10); a=c/b; document.write(a);</script>
xey
-4 -3 -2 -1 0 1 2 3 40
5
10
15
20
25
Series1
![Page 6: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/6.jpg)
Postulat:
ey
x
eyex
ex
xy
e
exy
e
xy
y
ln
ln
lnln
ln
1ln
lnln
71828.2
ln
ln
0 1 2 3 4 5 6 7
-3
-2
-1
0
1
2
3
Series1
1
ln
x
xy
![Page 7: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/7.jpg)
-4 -2 0 2 4 6 8 10
-4
-3
-2
-1
0
1
2
3
Series1
xxx
y
;0
1
![Page 8: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/8.jpg)
x
xy 2
![Page 9: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/9.jpg)
Gerak Lurus Beraturan, Gerak Lurus Berubah Beraturan, Gerak Melingkar Berubah Beraturan
![Page 10: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/10.jpg)
Gerak Lurus Beraturan, Gerak Lurus Berubah Beraturan, Gerak Melingkar Berubah Beraturan
![Page 11: Model Eksponensial dan Logaritma](https://reader033.vdocuments.net/reader033/viewer/2022061413/5562f9edd8b42a213b8b5760/html5/thumbnails/11.jpg)
Postulat Integral:
cedxe
cxxdx
takonskcxkdxk
ncxn
kdxxk
xx
nn
ln1
tan............
1..............)1(
.
Postulat merupakan representasi suatu teori yang dijabarkan dalam
model matematika