Sea surface temperature is a critical indicator of climate change, as it affects weather patterns, marine ecosystems, and sea level rise. Understanding changes in sea surface temperature helps us gain insights into the broader impacts of global warming and make informed decisions for environmental conservation. An environmental study was conducted to analyse historical sea surface temperature data for Ocean X. The study indicates the average monthly sea surface temperature (measured in degrees Celsius) for Ocean X in 1990 and 2020 can be modelled respectively by the functions ( ) ( ) 2 3 4 20 0.001 220 73 8.9 0.37 f t at t t t t = ( ) ( ) 2 3 4 20.5 0.001 248 70 8.35 0.35 g t at t t t t = where t represents the number of months after 1st January of the given year, and 0 12 t . (a) Use Newton's method to determine critical numbers of ( ) f t and ( ) g t . Show iterations in tabular form with an accuracy of 6 decimal places