Page 3 - FORMULA DBM30043
P. 3
t* E ii$$ffi
No;r, {$ r'ft) hlo: l r(.s)
a a)
a
1 13. e-o' sin rot
,s (s+a)'+a'
a s+a
2. at t4. e-o' cos o)t
2 (s+a)'+ot'
,s
nl ct)
t'
-r- 15. sinhatt ,,
,'" s- - (D-
1
4. e" 16. coshatt ,, ^t
s-a s- - (D'
1 a)
5. e-" t7. e"' sinh at
s+a (s-a)2 -at2
1 o)
G;8 (s+o)2 -ai
6. te-o' 18. e-"'sinhafr
n! s+a
7. t' . eot 19. e-o' cosh at
,11:l r2r3 G:dr (s+al -ai
+
+
8. {.fQ) etl'ffwr. i, 20. fr(t) fr(t) 4(r) 4(s)
0) r(s)
9. sinatt ,, 2t {Da" v
s- +a' t',-f
^s
s
(t a)u(t a)
10. cos oil ,, 22. f - - e-" F(s)
s- +a-
First derivative
2at s
t1 t stn att 23. sr(s)-y(o)
G' * r'Y ff,t'Q)
Second derivative
s2 o)' ,2r(r)- ry(o)-y'(o)
-
@;r dt-
12. t cos att 24. oi{,r"Q)