Dear Daniel, You got 77 (out of 100) in the makeup exam Here is what you got wrong: #1 Should be x=t, y=0,z=0 or (x,y,z)=(t,0,0): -5 points #2: started correctly but did not finish: -5 points #6: right way, messed up calculations: -3 points #7: wrong way: -10 points Since this is higher than 53 (that you got in midterm 1) your score is 77 Best wishes, Dr. Z.