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Pythagorean Identities

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Definition of Continuity at “a”

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Average Value Theorem

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Final Amount/Accumulation Model

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Area of a Circle

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Area of a Trapezoid

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Area of an Isosceles Triangle

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Area of a Basic Triangle

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Area of an Equilateral Triangle

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Volume of a Cylinder

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Volume of a Cone

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Volume of a Sphere

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Volume of a Box

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Circumference of a Circle

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Mean Value Theorem

If f is continuous on [a,b] and differentiable on (a,b), then there exists a value “c” on (a,b) such that f’(c) = [f(b) - f(a)]/(b-a)

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Limit Definition of a Function (Limit of a Difference Quotient)

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Properties of logs

ln (a x b) = lna + lnb

ln (a/b) = lna - lnb

ln ab = b lna

d/dx lnu = 1/u du/dx

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au

elna u

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logax

lnx/lna

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ln1

0

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d/dx arcsecx

1/lxl (square root) x2-1

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d/dx arccosx

-1/ lxl (square root) x2-1

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