Lake Tahoe lies on the California/ Nevada border, and its level is regulated by a 17-gate concrete dam at the lake's outlet. By federal court decree, the lake level must never be higher than 6229.1 feet above sea level. The level of the lake is monitored every midnight. The level of Lake Tahoe from October 1, 1995, through July 31, 1996, can be modeled as L(d) = (-5.345-10-7)³+ (2.543 10-4)²-0.0192d+6226.192 feet above sea level 1 days after September 30, 1995. (a) According to the model, did the lake remain below the federally mandated level from October 1, 1995 when d=1, through July 31, 1996, when d = 304? O Yes O No (b) Calculate the location and value of any relative extrema for the lake level on the interval between d = 1 and d = 304. (Round your answers to two decimal places.) relative maximum (d, L) = 8 relative minimum (d, L) =

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