please help me solve this question

r (t) 2 (2t, at, 6*) fort E [0, 00). Now, Suppose that you are at the point (0, 1, 1) and subjected to a force given by: i 2 F (39,913) = +33, 73} , 7z3 (It's very similar to gravity) (1:32 +112 +22) 3 (m2 +y2-lz2) (x2 +y2lz2) 3 How much work will you do traveling along the curve from (0, 1,1) to (2, 6,6_1) ? Note: If you decided to work on problem 1 later on, that's OK, it won't prevent you from doing this problem. Make sure to provide a clear, complete, and detailed solution. If you use any theorems, state which ones you are using clearly and also show why those theorems are appropriate to this