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floor function (def)
Greatest integer less than or equal to x.

(graph)

ceiling function (def)
Least integer that is greater or equal to x.

(graph)



(graph)

Change of base rule for logs:
























area of triangle using trig:

parameterization of ellipse:



Intermediate Value Theorem
If a function is continuous between a and b, then it takes on every value between and .















slope of parameterized curve:

derivative formula for inverses













Extreme Value Theorem
If is continuous over a closed interval, then has a maximum and minimum value over that interval.






Mean Value Theorem
(for definite integrals)
If is continuous on , then at some point in ,

First fundamental theorem:











