2. [12 marks] The starship Hypatia travels along a trajectory t2 + 2)j + 2k, teļ-44] r(t)-2ti + ( close to a star cente...
2. [12 marks] The starship Hypatia travels along a trajectory t2 + 2)j + 2k, teļ-44] r(t)-2ti + ( close to a star centered at (x,y,z)- (0,0,0) that has temperature field given by то where R+ T(x,y,z)wh is the distance from the center of the star (which has outer edge at R -1). Compute the maximum temperature through which the space ship passes. If the ship can only survive temperatures (with shields on line) of T < To/3, will the crew survive?
2. [12 marks] The starship Hypatia travels along a trajectory t2 + 2)j + 2k, teļ-44] r(t)-2ti + ( close to a star centered at (x,y,z)- (0,0,0) that has temperature field given by то where R+ T(x,y,z)wh is the distance from the center of the star (which has outer edge at R -1). Compute the maximum temperature through which the space ship passes. If the ship can only survive temperatures (with shields on line) of T