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- Politecnico di Milano
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- Energy Engineering
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- Analisi e geometria 2
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24 Cambio coordinate polari
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Analisi e geometria 2By topic
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LEZIONE24 -22.5-2023· CAMBIAMENTODIVARIABILIGENERALE Supponiamodiavere ingeneraleinvertibile E x=x(n,v) E Ee = h(x,y) y= y(e,i)dicesse5= ~(n,y) 21 =vdi ~2 u=b+du ga.' hoapprossimismoat'ae R Q E D 0 v da' Eda" =/ER✗Fa/ pt= [(n°-1dm, v7- ✗lei, ,{ÈINda ]y(n°+du,v0)- y(n°,✓° ) zitti,v4dn poi= { ✗("° /✓Idv)- 2(ii.✓° ) si'"/"tdv)- ygi.ro#=fI-vh:HdYI-fCuiv7dv Quindi da' = det|?_?%(ù,v7 " / dudv 㱺÷!" seno) ' = / 㱺lui,✓° )/ =/detJaobiano/ Quindipostogchiv)- - f-(nenie),yln.it) f)finiranno- ✗gun)/%Ef-ldu.deD SEDdescrittoimam) Esempio: area regionedelimitatada G-si 4=222se_ - yan= 342 2--42 l' ' 2--3y? se , 4--22=7%2--1n - - ¥, t.IN≤2 y_ - 222--7¥, -2 Riga㱺5-2--1 2--34,2㱺§, - - 3 ✓= 11✓≤3 a- È- (ùvÈ y.su?-u-inv2Hl:IY-l--.:.-..-ae+-~a-YnYvIDKD1dadn Édadi.fi/fi%dfdu-D[1,27×-11,3] - - ÷E÷a)1si÷al= ÷Èti1. ti%)= ÷È - il1:- il=÷. E÷
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