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: dy _ = k a _ dt y( 50 Thus we know that the height, y(t), of the weed after t days have passed is given by the following equation: a t = ) 1 + .SeE'kt If a typical weed starts at height 6 centimeters, has height 52 centimeters after 22 days, and reaches height 56 centimeters at maturity, find the values of the constants B and k (correct to at least 4 decimal places). B= x k