[填空题]
The number of bacteria in a culture is givdfb(f5 ,;,8 xb 2vspd d(yqj1zh)rm tee;lj;2 9ap:w m5fmtwo6 rr r+nvn 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
