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Calc 3 optimization? Can humans create lighting and if so what would they have to do ? Truth table Problem 1: ( P > P ) > ( P > P) Problem 2: (P > Q ) > ( P > Q ) I don't understand how to do this. Someone please help!? Will an ice cube lower the temperature of a glass of water or a glass containing an alcoholic beverage faster? Please explain!? If the circumference of a circle is doubled, how does the area of the circle change?