Área de Una Superficie de Revolución

 

589

@DZÇX @D ZÇX^C ^CK K 4:

@ðoa @ð oa`d `ds, s, n`u n`ud` d`ak akons ons pdr pdrdg dgátr átra` a`ds ds y `kkr `kkrhno hnodhd dhdss pkcdr pkcdrns ns

Cd vnrsaðo, no `kkrhnodhds `kkrhnodhds pkcdrns, hn cds iðrgucds pdrd nc ärnd hn uod supnria`an supnria`an hn rnvkrnvkcu`aðo sn punhn kftnonr d pdrtar hn cds vnrsakons pdrdgátra`ds hdhds no nc tnkrngd 4:.1, usdohk cds n`ud`akons y sno X N K V N G D 4 : . 4> 4> Ä V N D H N ^ O D P ^ Z N V I A @ AN AN H N V N Y K C ^ @ A Ð O

Pnd uod iuo`aðo `uyd hnravdhd ns `kotaoud no uo aotnrvdck Pnd supnria`an enonrdhd pkr rnvkcu`aðo hn cd eräia`d hn ( ), hnshn dcrnhnhkr hn cd rn`td aoha`dhd ns cd saeuanotn.

Dc dpca`dr nc nc tnkrngd tnkrngd 4:.4>, mdy qun vnraia`dr qun cd eräia`d hn sn rn`krrd uod skcd vnz no nc aotnrvdck Zkr nbngpck, cd cd `ar`uoinrno`ad hdhd pkr sn rn`krrn sðck uod vnz no nc aotnrvdck

sno

4.

. Nc ärnd hn cd mdstd ,

Dcrnhnhkr hnc nbn pkcdr.

Dcrnhnhkr hn cd rn`td

6.

.

Mdccdr Mdcc dr nc är ärnd nd hn cd su supn pnri ria`a a`ann kkftn ftnoah oahdd pkr rn rnvk vkcu` cu`að aðoo hn hn cd cd `a `ar`u r`uoin oinrno rno`a `add `ks dc dcrn rnhn hnhk hkrr hn cd rn rn`t `tdd `kgk sn acu `kgk acust strd rd no cd ia iaeu eurd rd 4: 4:.> .>5. 5.

Ɩ( )

6

:

Xkrk

d)

f)

Iaeurd 4:.>5

Pn punh punhnn usdr usdr cd sne sneuo uohd hd iðr iðrgu gucd cd hdh hdhdd no nc nc tnkr tnkrng ngdd 4: 4:.4> .4> `k `koo ( ) sno . Zunst Zunstkk qun cd `ar`u `ar`uoinrn oinrno`ad o`ad sn rn`krr rn`krrnn sðck uod vnz `udo `udohk hk dugn dugnotd otd hn : d sn tanon Pkcu`aðo

Iðrgucd pdrd nc ärnd hn uod supnria`an hn rnvkcu`a rnvkcu`aðo. ðo.

sno Ahnotahdh traekokg tr aekokgátra`d. átra`d.

Ahnotahdh traekokgátra`d tr aekokgátra`d..

sno