In the mysterious lost city of Mim, the length of daylight (in hours) on the $t$th day of the year is modeled by the function $$L(t) = 12 + 2 \sin \left(\frac{2 \pi}{365}(t-80)\right)$$
Use this model to compare how the number of hours of daylight is increasing on March 18 and June 6 (assume that this is a standard year, not a leap year).
Rate of increase on March 18 =

Rate of increase on June 6 =