The growth of a certain type of weed satisfies a differential equation of the following form, where a is the height of the weed at maturity: (11/ ' = In (I l ) (If 'I( J Thus we know that the height, y(t), of the weed after t days have passed is given by the following equation: a t = y( ) 1 + Be'ak' If a typical weed starts at height 9 centimeters, has height 45 centimeters after 28 days, and reaches height 49 centimeters at maturity, find the values of the constants B and k (correct to at least 4 decimal places)