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13 Nov 2019
Consider the vector field F-(y2,-xy2,2xyz). o Calculate curl F o Is F conservative? Why? 0 Calculate div F. o Is F incompressible? Why? 2 Consider the parameterized surface S which is given by r(u, v) (u, 2 sin(v), cos(v)): [0, 1] Ã [0, Ï] â R3. Write down an integral formula for the area of S and calculate it. 0 Use the Divergence Theorem to calculate the flux of the vector field F(x, y, z) = zi + yj + 2xk over the unit sphere x2 +y2 + Z2-1.
Consider the vector field F-(y2,-xy2,2xyz). o Calculate curl F o Is F conservative? Why? 0 Calculate div F. o Is F incompressible? Why? 2 Consider the parameterized surface S which is given by r(u, v) (u, 2 sin(v), cos(v)): [0, 1] Ã [0, Ï] â R3. Write down an integral formula for the area of S and calculate it. 0 Use the Divergence Theorem to calculate the flux of the vector field F(x, y, z) = zi + yj + 2xk over the unit sphere x2 +y2 + Z2-1.
Collen VonLv2
2 Nov 2019