ALGEBRA
PROPERTIES
ARITHMETIC PROPERTIES
EXPONENT PROPERTIES
PROPERTIES OF INEQUALITIES
ASSOCIATIVE
COMMUTATIVE
DISTRIBUTIVE
PROPERTIES OF COMPLEX NUMBERS
ARITHMETIC OPERATIONS EXAMPLES
QUADRATIC EQUATION
For the equation
COMMON FACTORING EXAMPLES
RADICAL PROPERTIES
LOGARITHM PROPERTIES
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ABSOLUTE VALUE
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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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TRIGONOMETRY
LAWS AND IDENTITIES
TANGENT IDENTITIES
RECIPROCAL IDENTITIES
PYTHAGOREAN IDENTITIES
IDENTITIES
EVEN/ODD IDENTITIES
IDENTITIES
DOUBLE ANGLE IDENTITIES
HALF ANGLE IDENTITIES
ITIES
PERIODIC IDENTITIES
IDENTITIES
LAW OF COSINES
PRODUCT TO SUM IDENTITIES
SUM TO PRODUCT IDENTITIES
LAW OF SINES
LAW OF TANGENTS
SUM/DIFFERENCES IDENTITIES
MOLLWEIDE’S FORMULA
COFUNCTION IDENTITIES
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TRIGONO
RIGHT TRIANGLE DEFINIT
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TRIGONOMETRY
DEFINITION
RIGHT TRIANGLE DEFINITION
TRIG FUNCTIONS RANGE
UNIT CIRCLE DEFINITION
TRIG FUNCTIONS DOMAIN
TRIG FUNCTIONS PERIOD
INVERSE TRIG FUNCTION NOTATION
INVERSE TRIG DOMAIN
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INVERSE TRIG FUNCTION RANGE
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GEOMETRY
SHAPES AND SOLIDS
SQUARE
RECTANGLE
CIRCLE
TRIANGLE
PARALLELOGRAM
CIRCULAR SECTOR
PYTHAGOREAN THEOREM
CIRCULAR RING
SPHERE
TRAPEZOID
RECTANGULAR BOX
RIGHT CIRCULAR CONE
CUBE
CYLINDER
FRUSTUM OF A CONE
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CALCULUS
DERIVATIVES AND LIMITS
DERIVATIVE DEFINITION
COMMON DERIVATIVES
CHAIN RULE AND OTHER EXAMPLES
BASIC PROPERTIES
MEAN VALUE THEOREM
PRODUCT RULE
QUOTIENT RULE
PROPERTIES OF LIMITS
POWER RULE
CHAIN RULE
LIMIT EVALUATION METHOD – FACTOR AND CANCEL
LIMIT EVALUATIONS AT +-
L’HOPITAL’S RULE
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CALCULUS
INTEGRALS
DEFINITE INTEGRAL DEFINITION
where
COMMON INTEGRALS
and
FUNDAMENTAL THEOREM OF CALCULUS
where f is continuous on [a,b] and
INTEGRATION PROPERTIES
APPROXIMATING DEFINITE INTEGRALS
TRIGNOMETRIC SUBSTITUTION
Left-hand and right-hand rectangle approximations
EXPRESSION
EXPRESSION EVALUATION
SUBSTITUTION
IDENTITY USED
Midpoint Rule
Trapezoid Rule
APPROXIMATION BY SIMPSON RULE FOR EVEN N
INTEGRATION BY SUBSTITUTION
where
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INTEGRATION BY PARTS
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