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Elemen Differensial Panjang, Luas, Volume

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Presentation on theme: "Elemen Differensial Panjang, Luas, Volume"— Presentation transcript:

1 Elemen Differensial Panjang, Luas, Volume
Pertemuan ke-4

2 Sistem koordinat Cartesian
P1(x, y, z) P2(x + x, y + y, z + z) Panjang differensial dl dl = dx ax + dy ay + dz az Luas differensial dsx = dy dz ax dsy = dx dz ay dsz = dx dy az Volume differensial dv = dx dy dz

3 Sistem koordinat silinder
P1(, , z) P2( + ,  + , z + z) Panjang differensial dl dl = d a +  d a + dz az Luas differensial ds =  d dz a ds = d dz a dsz =  d d az Volume differensial dv =  d d dz

4 Sistem koordinat bola P1(r, , ) P2(r + r,  + ,  + )
Panjang differensial dl dl = dr ar + r d a + r sin  d a Luas differensial dsr = r2 sin  d d ar ds = r sin  dr d a ds = r dr d a Volume differensial dv = r2 sin  dr d d

5 END


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