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- Politecnico di Milano
- Degree programme
- Mathematical Engineering
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- Analisi Matematica II
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- Exam · Full exam
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09set09a2b
Study material for Analisi Matematica II, shared by the Studwiz community and reviewed by moderators.
Analisi Matematica IIFull exam
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Analisi Matematica 2 - Ingegneria Fisica 09 settembre 09 Cognome: Nome: Firma: c⃝ I seguenti quesiti e il relativo svolgimento sono coperti da diritto d’autore; pertanto essi non possono essere sfruttati a fini commerciali o di pubblicazione editoriale. Ogni abuso sar` a perseguito a termini di legge dal titolare del diritto. 1. Calcolare ∫ D i (x− 3y ) dx dy con D 1 ={(x, y )∈ R 2 : 0 ≤ x≤ 1 , 0≤ y≤ 2} e D 2 ={(x, y )∈ R 2 : 0 ≤ x≤ 1 , 0≤ y≤ 1 , x 2 + y 2≥ 1} . 1 2. Calcolare l’integrale generale delle equazioni differenziali y ′ = y sin t + cos t y e y ′ = 2 ye x + y 2 . 2
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