6. Do the following tasks using Mathematica. Haumea is a dwarf planet located beyond Neptune's orbit....

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6. Do the following tasks using Mathematica. Haumea is a dwarf planet located beyond Neptune's orbit. The shape of Haumea x² y² z² can be approximated by an elipsoid + + a² 62 c² 1050 km,b 840 JJJ dV, where H is the region enclosed by the drawf - 1 with a = km and c = 537 km. planet. Use the transformation: x = au, y = bv, z = cw. (a) Plot H in both xyz and uvw spaces. (b) Find the Jacobian of the transformation (c) Evaluate the volume of the drawf planet using the transformation - 6. Do the following tasks using Mathematica. Haumea is a dwarf planet located beyond Neptune's orbit. The shape of Haumea x² y² z² can be approximated by an elipsoid + + a² 62 c² 1050 km,b 840 JJJ dV, where H is the region enclosed by the drawf - 1 with a = km and c = 537 km. planet. Use the transformation: x = au, y = bv, z = cw. (a) Plot H in both xyz and uvw spaces. (b) Find the Jacobian of the transformation (c) Evaluate the volume of the drawf planet using the transformation -