[填空题]
In a memory competition, the rate at which 2ra s 8*eh1afoEnx 1zynhp7uoy o)m0sfu-4:(g o glish speaking participants memorise French vocabulary can be modelled bypzxmuso)7hfyo 4 (0:uy- 1o gn the equation
$\frac{d M}{d t}=1-0.01 t$, $\quad t \geq 0$,
where M(t) is the number of words memorised in t minutes.
The number of words participants have memorised at the beginning of the competition, t=0 , is zero.
1. Find the equation for the number of memorised words at time t . M(t)= t - a$^{-3}$ t$^2$ ; a= .
The competition ends when students get so tired that the number of additional memorised words per minute becomes zero.
2. Find the value of t when the competition will end.
t= minutes.
3. Determine
1. the domain of M(t) is [ , ],
2. the range of M(t) is [ , ].
