Vector Calculus 2
2011-06-24 8:00 pm
回答 (1)
2011-06-24 8:42 pm
✔ 最佳答案
The path is given by r = t^3 i + t j + t^2 k for 1≦t≦2
dr/dt = 3t^2 i + j + 2t k
Work done
= ∫ F．dr
= ∫[1~2] (t^3 i -t j +t^2 k)．(3t^2 i + j + 2t k) dt
= ∫[1~2] (3t^5 -t +2t^3) dt
= 75/2
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