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Problem #8 is submitted by Quincy St. James

On our journeys with Emanuel the Duck, he has been a roadster, a party-goer, and a general nuisance. So he has been dropped into the ocean far north of Russia. Little do they know that they had dropped him into a current drifting south towards Russia. According to Emanuel's precise mathematical thinking skills, his position is determined by the equation 3sin(t) = 9tan(y) where y is in feet and t is in seconds. He has also figured out that if he is going to survive the perilous trip to Russia, he needs to be traveling at a speed less than 0.5 ft /sec or crash into the rocky shores. Because he is a fast thinker, he hasn't even begun to drift yet so his position is 0. Calculate his speed at this position.

Will Emanuel survive the gruesome trip?