Sketch the domain  bounded by y=x2, y=12x2, and y=5x. use a change of variables with the map x= y= to calculate ∫∫y− this is an improper integral since ,y)=y−1 is undefined at (0,0), but it becomes proper after changing variables.

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Planet earth has a mass of 5.9726x10²⁴ kg.then: 5.9726x10²⁴ kg=100% of the total earth mass.if the water´s mass=5x10-4 % of the total mass, we can solve this problem by the rule of three.5.9726x10²⁴ %*10⁻⁴ %x=(5.9726x10²³ kg)(5*10⁻⁴  %) / 100 %=2.9863x10¹⁹ kganswer:   the mass of the planet´s water would be   2.9863 x 10¹⁹ kg.