ARITHMETIC PROPERTIES

ASSOCIATIVE

COMMUTATIVE

DISTRIBUTIVE

ARITHMETIC OPERATIONS EXAMPLES

EXPONENT PROPERTIES

PROPERTIES OF INEQUALITIES

PROPERTIES OF COMPLEX NUMBERS

ABSOLUTE VALUE

LOGARITHM PROPERTIES

QUADRATIC EQUATION

For the equation

RADICAL PROPERTIES

COMMON FACTORING EXAMPLES

COMPLETING THE SQUARE

1. Divide by the coefficient a.

2. Move the constant to the other side.

3. Take half of the coefficient b/a, square

it and add it to both sides.

4. Factor the left side of the equation.

5. Use the square root property.

6. Solve for x.

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ALGEBRA

PROPERTIES

FRUSTUM OF A CONE

SQUARE RECTANGLE CIRCLE

TRIANGLE

CIRCULAR RING SPHERE

CUBE

RECTANGULAR BOX

CYLINDER

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CIRCULAR SECTOR

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TRAPEZOID

PYTHAGOREAN THEOREM

RIGHT CIRCULAR CONE

GEOMETRY

SHAPES AND SOLIDS

PARALLELOGRAM

TANGENT IDENTITIES

RECIPROCAL IDENTITIES

PYTHAGOREAN IDENTITIES

IDENTITIES

PERIODIC IDENTITIES

IDENTITIES

EVEN/ODD IDENTITIES

IDENTITIES

DOUBLE ANGLE IDENTITIES

HALF ANGLE IDENTITIES

ITIES

TRIGONOMETRY

SUM/DIFFERENCES IDENTITIES

PRODUCT TO SUM IDENTITIES

SUM TO PRODUCT IDENTITIES

COFUNCTION IDENTITIES

RIGHT TRIANGLE DEFINITION

UNIT CIRCLE DEFINITION

Trig Functions Domain

TRIG FUNCTIONS RANGE

TRIG FUNCTIONS PERIOD

INVERSE TRIG FUNCTION NOTATION

INVERSE TRIG FUNCTION RANGE

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TRIGONOMETRY

DEFINITION

INVERSE TRIG DOMAIN

LAW OF SINES

LAW OF COSINES

LAW OF TANGENTS

MOLLWEIDE’S FORMULA

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LAWS AND IDENTITIES

RIGHT TRIANGLE DEFINITION

UNIT CIRCLE DEFINITION

TRIG FUNCTIONS DOMAIN

TRIG FUNCTIONS RANGE

TRIG FUNCTIONS PERIOD

INVERSE TRIG FUNCTION NOTATION

INVERSE TRIG FUNCTION RANGE

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TRIGONOMETRY

DEFINITION

INVERSE TRIG DOMAIN

DERIVATIVE DEFINITION

BASIC PROPERTIES

CHAIN RULE AND OTHER EXAMPLES

MEAN VALUE THEOREM

PRODUCT RULE

QUOTIENT RULE

POWER RULE

CHAIN RULE

COMMON DERIVATIVES

PROPERTIES OF LIMITS

LIMIT EVALUATIONS AT +-

LIMIT EVALUATION METHOD – FACTOR AND CANCEL

L’HOPITAL’S RULE

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CALCULUS

DERIVATIVES AND LIMITS

`

where and

INTEGRATION BY SUBSTITUTION

COMMON INTEGRALS

or

INTEGRATION BY PARTS

INTEGRATION PROPERTIES

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Left-hand and right-hand rectangle approximations

Midpoint Rule

Trapezoid Rule

APPROXIMATING DEFINITE INTEGRALS

APPROXIMATION BY SIMPSON RULE FOR EVEN N

CALCULUS

INTEGRALS

EXPRESSION EVALUATION

SUBSTITUTION

IDENTITY USED

EXPRESSION

TRIGNOMETRIC SUBSTITUTION

DEFINITE INTEGRAL DEFINITION

where and

FUNDAMENTAL THEOREM OF CALCULUS

where f is continuous on [a,b] and