Question

Suppose the flow rate (in cubic feet per second, cfs) of a river in the first 11 hours after the beginning of a severe thunderstorm can be modeled as

f(x)=−0.865⋅x3+12.05⋅x2−8.98⋅x+122.02 cfs

where x is the number of hours after the storm began.

1. What were the flow rates for x=0?
2. Calculate the relative extremes for the flow rates on the interval between x = 0 and x= 11  

Answer 1