Embed Size (px)
Citation preview
§ 16.1
So 1) THE title - th i FH ) = F - f- ; HI 't 'll = FEE -
- E
.
'
. { lxtysds = So"
Ittil - ti ) . IT 't Hdt
= So'
fzdt = fz .
Sol ) TH )-
-
2t-ttf-lz-ztfksftts-2.itI -
2,2 's 1744=12412+1-27--3
. : { lxytytz ) ds = folk t.tt t -12-2-1 ) . If 'Hldt
= Sol l 2T'
- t -12 ) . 3dt
=3 [ 251 - Itztzt ] ! = 3. I } - I -12 ) = ¥
,
Sol ) C,
: THS = tk ; F' the k : IT 'HH=o4o# = I
i. { Yury-E) ds = Siloto - t
'
) . K' ltsldt = to ft'
Ht = I - tf Tok - I.
Cz: THE Tj tf ; F' It ) - j ; IT
'HH=oef=I
i. { Lx try -E) ds =Yolotf-
I'
) . IT '
HH d t = So'EE
.
Ht=
FEI.
HE -
I2
↳: THI = -1-7+5+1 ; F' It ) - I i IT ' Htt =
14*67=1: . {Lx try -E) ds = filter-t ) . Htt dt = So'
tdt = FEIo
'
=L
.
'
. { Tds = !,
Tds t f. Tds t !,
Tds =
- I - I + I = - I.
↳
C4 Cz
C,
Sol ) C,
: THS = tin,
o et si ; F' Hk in i IFHH
TEO= I
i . I ×¥+,ds = Sto
tfoe, ,
. IT ' Hit dt = to to't I dt = I tan- '
HD !
= ¥.
c,
Cz: THI = it tf
.
o Et si ; Tilt ) - j i IT 't
HEE= I
i. { ×¥+,ds = Sol
,I
* ,
. IT ' Hit dt = to ta
't z
dt =
IEtan
-
'
Hallo'
= E. tanks ).
↳: THI = It - tri tf
,
o Et si ; F' It ) - -
fiIFHH =
Fito'
= I
i .S ×¥+,
ds = Iou. #* i. IT ' Hit dt = to it! * zdt =IF tanDo ' = F. tan
' ' Hr )↳Ca: THI = H - thin,
o et si ; F' It ) -- I i IT ' Htt =
= I
.
.
.
S x¥+,ds =
float, . titi
. IT ' Hit dt = to it
!it ,
dt =
Itai't .
Hot
= IfC
4
.
'
. { HiFi ds = {,
x¥tTds+{x¥tTdst§x¥tTdst {a
,x¥tdsIt Tl
=4
t I tan- ' It ) t Etan ' ' tf ) t
I
IT=
z tr tank )y
§ 16.2
>
Sol ) F Cx. y ,
z ) = fzni - 2x j try I
(a) C,
: TH ) = tnittjttf ; Tilt )
=ftj+k; E. F)It ) = FL -
Ht FL = 2Gt - t )
i. {feeFl Hide = tour - tide = 2 [ 5¥ - E ] : =3,
(b) C
;TH )
-
- tnittnjttnk 's filth ? -121-1+4-1312 ; #. F) It
)=t'
-2T . ht ) - It . 413
= 4-14-3-5
:. {
F.Fl Hide = So
'4t' -3
Edt= IIE -
t.JO'
=
- Is,
(c) Cs: TH ) = -17-145,
costs , ; f 't ) = ? - if i
E. F) It ) = O - 2T to =-
at:{⇐F) Hldt = S'
I - ztsdt = E- til ! = - I
}O
ca: TH )
-
- It It th,
costs
isTittleI
E. It HI = 0+0+1=1,
:{⇐F) Hide = S
'
dt =
It] ! = I
4O
.
'
.
S #Fl Hide
=LEFl Hide t { ⇐Fl Hide =
- It I = O
G U Cy 3 4
Cz
↳ C ,
Sol ) C,
: TH ) = t ? -13T
?o et e I ; Tilt ) = It ,
DX = dt
<
:. { ixtydx
= Sift dt = Sol 2E de = 2[t To = I
Cz: TH )
-
- H - tf -137.
o Et El s F' HK - in
.
,
DX =- dt
{ dx = to
Ftt5tdH=-
Siftde =
'
o
-
- 31353 - 8)2 Cz: TH ) =
- tf,
o et e 3 ; FH ) =- To
,
DX=Dffxtydx =Sprott. O = O
Cs
:. Sixty dx={yftydxt{yftydx + {yftydx
= Is t Is ( 353 - 8) . I 0
= 253 - 4a
y
÷
nca > X
a
n n n n
Sol ) Flt ) = a cost it a sin
tj's
'
It ) = -
a sin
fita cost j
n nfr 181=a cost it a sin t j
rn J >F
,If It ) )
= 2 a cost i- 3 as int j i f
,
.
n IVI = 2 of us 't -3
a
'
sin 't
21T
.
'
. Flux of I,
= So 12A '
cos 't - 3ds in'
t ) dt
2 IT
= a'
[ It+ sit . )
- I It-
s
Do =- IT
ay,¥18
Its ) = 2 a cost It ( a cost -
a sin-45E.fr Nl = Za
'
us 't
t( a sin t ) I aust -
a sin t )
= oil 2 as 't t sin t cost - sin 't )
21T
Flux of ¥= Jodl2 as 't t sin t cost - sinAdt
= Jj'
a 12 wit t sin t cost - sin 't ) dt
= ar [ Ltt sint ) t size - LI - sift Di"
=
ay
,
Sol ) Representatives ix. y ) Flay )
( 1,0 ) i
1-1.0 )- hi
10,1 ) j
( O,
-
I )- j
I E. E ) fixesC- t.FI - thither
I I,
- E ) EF - ET
tf.
. Ez I- Ini - ET
of9.
AC- { lx.gl/X4y2= I }
←
, in.
Sol ) Note that.
points toward the origin with magnitude I.
Cal f- hay , --xEf×}tY ) = - xi - YI
cat Ekin -
- Eat f- cliff ) . where Ceo.
Sol ) Fxs = Xitflxlj ; 84×1=7+-54×35 :
F- I x. y ) = lxityj ) 's Flax D= I x ? + ANT )
F- thx ) ) . Text,¥q,
txt this - this )= k # I FEET )
.
'
. { F. Fds = fab
kfxldxIHxifldx-k-rxffxpja-klbtf-afta.la
