Some Examples 
Example | 
0 O<2 
sh { Vr 
A2 2m, << 
37/2 for Mz2W/T+te 
Yu) = to. 
O otherwise 
oe - PY pn2 
PE.- A 
Example 2 
O Os p< ey, 
At SV aoe 
EW=+ Ze 
APHAS  — oa/L p< 277, 
Ai 2 nzen? 2a, << @ 
7 w= 2M/ +E 
ve 3% p= m/ te 
O =e +e 
W(#) = anything otherwise 
2 t . t ent 
then 7(t)=—A\cos en + Agsin = Ase Oars 
PE = FO ay + At A) 
Example 3 
Oras p <i20/, 
a5 2%, sha 4% 
Em =4ziam KI 74) su< K+1 (274) 
@ 
2 Z 
Gee eee 
V(u)= 3% O<H< @ 
@ 
then 7(t) = 2 amsin oe 
pe. = £9F .2 
BE am 
Example 4 oe 
Ew: {75 Oe eal 
acy 277s <O 
V(H) = O 
then lim 7(0)= lim mez = lim mer A 
Vy 
aes Qa 
- lj PS t 2 dt = PIE, 
but 7 Ee unte/n )) a7, 
Vp 
Plate XX 
= 131- 
(7.11) 
(7.12) 
(7.13) 
(7.14) 
(7.15) 
(7.16) 
(7.17) 
(7.18) 
(7.19) 
(7.20) 
(7.21) 
(7.22) 
(7.23) 
(7.24) 
(725) 
(726) 
