[微積] 一題微積
Existing traxk along the －x-axis & alog the ray y = x-a,x>=2,is to be join
smmothly by track along the transition curve y = f(x),0=<x=<2,where f(x)is
polynomial of degree as small as possible.Find f(x) so that a train moving
along the traxk won't experience dis continuous acceleration at the joins.
有一條道路沿著-x軸到y=x-1的線上，當x>=2,y=x-1；0<x<2,y=f(x)
f(x)為一多項式函數，最高項的次數越低越好，且f(x)為一平滑曲線。
則f(x)=?
意思就是說有兩直線y=0(x=<0)和y=x-1(x>=2)，中間要用一條平滑曲線連接起來，
則那條曲線的方程式為??
課本寫到f(0)=0,f'(0)=0,f''(0)=0
f(2)=1,f'(2)=1,f''(2)=0
然後可以決定出f(x)的次數，但我不懂這一步怎麼來的
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◆ From: 120.107.174.102
※ 編輯: j0958322080 來自: 120.107.174.102 (04/24 22:27)
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