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DIVERENSIAL VEKTOR

DIVERENSIAL VEKTOR. Kuliah 3. MATERI. Gradien medan skalar Divergensi medan vektor Curl medan vektor. KURVA, KECEPATAN DAN PERCEPATAN. Kurva dapat juga menggambarkan pergerakan suatu pertikel atau benda dan dapat dinyatakan dalam fungsi r(t)

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DIVERENSIAL VEKTOR

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  1. DIVERENSIAL VEKTOR Kuliah 3

  2. MATERI • Gradienmedanskalar • Divergensimedanvektor • Curl medanvektor

  3. KURVA, KECEPATAN DAN PERCEPATAN • Kurvadapatjugamenggambarkanpergerakansuatupertikelataubendadandapatdinyatakandalamfungsi r(t) • Tangenvektorpadakurvamenjadivektorkecepatan v=r’(t) karenatangenvektormemberiarahpergerakandanpanjangnyamemberi • Turunankeduadari r(t) disebutdenganvektorpercepatandinyatakandengan a • Percepatanmemilikiarah yang dinyatakandalamarahtangensialdanarah normal (tegaklurusbidang)

  4. DIRECTIONAL DERIVATIVE

  5. Contohsoal Jawab:

  6. VEKTOR NORMAL

  7. Jawab:

  8. CONTOH:

  9. CONTOH: SOLUSI

  10. OPERATOR GRAD  MERUPAKAN OPERASI PADA BIDANG SKALAR YANG MENGAHASILKAN BIDANG VEKTOR OPERATOR DIV  MERUPAKAN OPERASI BIDANG VEKTOR YANG MENGHASILKAN BIDANG SKALAR OPERATOR CURL  X MERUPAKAN OPERASI PADA BIDANG VEKTOR YANG MENGAHASILKAN VEKTOR CURL SUATU VEKTOR MERUPAKAN DETERMINAN VEKTOR

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