This
preview
has intentionally blurred sections.
Sign up to view the full version.
This
preview
has intentionally blurred sections.
Sign up to view the full version.
Unformatted text preview: m 09.02.” EMAC2312~94159 EQé/zo SHdenfs AAWIM. 73ran Humework Gfue “mt é/y__ [MIC hi UP oh Nd’Gbook C0”?5©'C¢WP335 36.51 Lengths of Plane Curves (3-4441 M? The Pyfinagot‘ean newer» - really sma“ and
mien and- eve r. A. Ehilosthgg One of the. central ideas m 61 f'
D am 5 IS {hat Bye graphs of continuougff nacflfnzlawfgrl
s Vcéwed through a microscnpe, are. atmos’t 83m (uses, MW.. (Poe)
[73 C={(1;3H1=¥(€) Haw} @ a.“ mofahbn; C: 76-40:) /\ 3:3(63 7“ch
4 c: act-'fCO) 3:30;) “Va [3 Q.ch 6? PDC may or M23 "of represenk a funch‘on. M1 y= €61): 1.2+ coscx) aéxé to Let xzt : Then c: x=t, 3=t‘+c¢s(v6)’ oetsto 1's the “parameficrizab'on” of f, E Non-{unch‘ons C: x=w$(t)J\J=s‘m(t)’ aétegn— [LCVS dc H- on our calcmb’cccs f] C,: Z=t, j= 60505)) (Mien)
C2: x=cosét))j=sinct3’ 051L521:
C3! var WINS), y:¢o5(~t)) oétézn 64: am amt), y=sin(t)) mfiétéfl’ [£\ Smosfik Curve (p.446): Pmmm Ea. % 3%) f 3&9) are di/fmm‘réé’e
and 3074:) é: ’49) am cont/whom and nor swa’Weovs/‘j
6%”41 H I , f'fien +529 curt/e Ié’ cal/ed SQLOQM , i a
(3- Let C b: dc chad arame’cricafly C smoofh aétéb
: Wm | k \\ I, g g) ‘ ‘ ‘0) F2; E p.{33§ Egg/riflgffigfl «47‘? )> \ ‘
37,213) C :5 parfit’tmd W/ W5 Fair-9R»: there ex‘w’r (3) numbers 19.: E [25,?” ti} and
ti? [tn-win] sud" that I ma - mp.) =-5’(t.2‘> (tn-tn-»
= 5:16;) At: and 5 fl 9 i E i i , 5 9W5~ 30m = 3%,?) At“ 5
E :12] “an: e1” 633’“:ch beams; % E } = [f’(£,:)]z+ Emmy (Am “£51,,
2
i Thus the lusan of the. curve, L , is approximaJreN n n L9: 2 L52 Emma [gawjz [Am Tn'dcg Examgte: E5363: [7,4522%14]. PM L. 1: .l-+—-L 25353 e 23 LEI Leftfit2 x—iE-F‘Z‘lf Zééég
{c. __2€_~ 3152...; __ 3593 ,__ t’é—I
"‘ 01V 7 29‘ at? 2152
.6121.» 1
t 2.
tq" IE‘ 6’ Z:
11‘ 2%)“ (4;? ,. (07%) 1
z 4
Ax? A 2,. 154—: 2 w (ii-l) Hf
LES—7 (m)+(elf) ’ LZFZ—‘”1“—’—""~7‘—‘4t "
\ \k—
.. (ta-2754+0J’4t4 __ 7&“2’1L21é‘U—1W:o (“+02
4t“ a 413* “ (2J3)?- ...
View
Full Document
- Fall '11
- Jones
- Calculus
-
Click to edit the document details