Differential Calculus (id: 6d25a3c61)

本题目来源于试卷: Differential Calculus，类别为 IB数学

[填空题]
The displacement, s , )/vtmalgrf rp87 +sq +mqua -+in metres, ge j4 k:l7w1uxyxi4;mof a particle t seconds after it passes through the origini jwm 7ygl1:xk x;e4u4 is given by the expression $s=\ln \left(1+t e^{-t}\right)$,$ t \geq 0$ .
1. Find an expression for the velocity, v , of the particle at time t .   
2. Find an expression for the acceleration, a , of the particle at time t .   
3. Find the acceleration of the particle at time t=0 .   

参考答案:
空格1: 1-6/e^t+t  空格2: (t-2)e^t-1/(e^t+t)^2  空格3: -3±2% 


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