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Forum Studenti •integrali superficiali
Pagina 1 di 2

integrali superficiali

Inviato: martedì 27 maggio 2014, 17:51
da matt_93
Non mi torna questo esercizio:
-campo [tex](y^{3}, z-x, x^{2})[/tex]
-superficie S [tex]z=x^{2}+y^{2}, x^{2} +y^{2} <=1[/tex]
Calcolare il flusso attraverso la superficie, ipotizzando come orientazione la normale uscente.

Re: integrali superficiali

Inviato: martedì 27 maggio 2014, 23:11
da GIMUSI
allego lo svolgimento nei due modi che ricalcano quanto fatto nelle lezioni 49 e 50 :)

Re: integrali superficiali

Inviato: mercoledì 28 maggio 2014, 9:08
da Massimo Gobbino
Si può fare anche con Stokes?

Re: integrali superficiali

Inviato: mercoledì 28 maggio 2014, 10:35
da GIMUSI

Re: integrali superficiali

Inviato: giovedì 29 maggio 2014, 22:20
da GIMUSI
allego lo svolgimento dell'esercizio nel quale ho aggiunto anche il "modo 3" con stokes

Re: integrali superficiali

Inviato: lunedì 2 giugno 2014, 18:46
da AntiLover
Scusate, qualcuno ha risolto numero 10 della scheda? Non riesco a scrivere omega e phi(u,v) :? :? :? :? :?

Re: integrali superficiali

Inviato: lunedì 2 giugno 2014, 23:24
da GIMUSI

Re: integrali superficiali

Inviato: martedì 3 giugno 2014, 9:32
da AntiLover
il campo è (x^2+y,x-z,0) mentre la superficie S= {x^2+y^2=1, 0<=z<=1}. gentilissimo come sempre! Grazie :)

Re: integrali superficiali

Inviato: martedì 3 giugno 2014, 11:24
da GIMUSI

Re: integrali superficiali

Inviato: martedì 3 giugno 2014, 12:09
da Massimo Gobbino

Re: integrali superficiali

Inviato: domenica 8 giugno 2014, 20:48
da Gabe
Avrei una domanda, mi capita a volte di avere delle espressioni di M1 M2 M3 "hard", tipo con radici etc... allora provo ad applicare GG in 3 dimensioni, però mi succede che non sempre riesco ad individuare bene la figura e quindi non posso vedere se ha eventuali "parti mancanti" (tipo l'esercizio della pentola con il coperchio),faccio un esempio:
se mi capita una supericie così definita [tex]S={z-y^2=1, x^2+y^2=1}[/tex], prendo come base la circonferenza di raggio 1 solo che poi non riesco a sviluppare la figura in "altezza" e quindi non mi rendo conto se e una superficie "incompleta", c'è qualche trucco per vederla al volo?

Re: integrali superficiali

Inviato: giovedì 12 giugno 2014, 11:42
da Gabe
Ho dei problemi con questi due esercizi: Calcolare il Flusso di E in S

[tex]1) E=(0,xy,xz),[/tex] [tex][S=(z^2+y, y, z), (y, z) \in[/tex] [tex]T=(y, z) : 0 \leq z \leq y \leq 1][/tex]

[tex]2) E=(x,xy,-xz), S=[z-y^2=1, x^2+y^2<=1][/tex]

Re: integrali superficiali

Inviato: venerdì 13 giugno 2014, 8:46
da GIMUSI

Re: integrali superficiali

Inviato: sabato 14 giugno 2014, 12:56
da Gabe
Anche qui ho capito l'errore che commettevo! Grazie ancora!

Re: integrali superficiali

Inviato: domenica 15 giugno 2014, 12:35
da ghisi