Answer:
Uh, what is the question?
Answer:
the Missouri Compromise admitted Missouri as a slave state and Maine as a free state.
The effect is the protection of people coming in and out. People didn't want to cross mountains, and people didn't want to cross deserts
No a catalyst increases the speed.
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There is a subtle difference between Arctan and arctan
Arctan(x) is an inverse function such that the range is only the principla value
meanwhile, arctan(x) takes on infinitely many values
hope this helps