[填空题]
The number of bacteria in az2to 3-kcp/ bs5zp vmi1 h1(ozr 4rsr4 culture is given by the function n(t)=310e$^{kt}$ , where t is the time in minutes after the start of the culture and k is a constant. It is known that the number of bacteria doubles every 10 minutes.
1.Find the exact value of k.
k=$\frac{lna}{b}$, a= , b= .
2.Find the rate of change of the number of bacteria, n ′(t), when t=11. Round your answer to the nearest integer.
Therefore, at the instant when t=11, the number of bacteria in the culture is increasing at a rate of bacteria per minute
