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The highest point on a graph, especially over a specified domain. It is the greatest value of f(x) over a defined interval of x, provided y=f(x). ( f'(x)=0 , f''(x)<0 ) Absolute maximum

The lowest point on a graph, especially over a specified domain. It is the least value of f(x) over a defined interval of x, provided y=f(x). (f'(x)=0 , f''(x)>0 ) Absolute Minimum

A line (or curve) that a function approaches without actually reaching the line as the domain either grows unbounded or approaches a limit. Asymptote

when the sum of their expanded terms reaches a boundary or limit. convergence

Let f be defined at c. If f'(c)=0 or if f' is undefined at c, what is c? critical point

A function f has this at (c,f(c)). if f''(c)=0 or f''(c) does not exist and if f'' changes sign from positive to negative or negative to positive at x=c or if f'(x) changes from increasing to decreasing or decreasing to increasing at x=c inflection point

If an object moves along a straight line with position function s(t), then its this is v(t)=s'(t) velocity

If an object moves along a straight line with position function s(t), then its this is |v(t)| speed

If an object moves along a straight line with position function s(t), then its this is a(t)=v'(t)=s''(t) acceleration

s= ∫ sqrt(1+[f'(x)]^2) dx on the bounds of a to b. What is this formula for? arc length

If f is continuous on [a,b] and differentiable on (a,b), then there exists a number c on (a,b) such that f'(c)=(f(b)-f(a))/(b-a) Mean value theorem

If f is continuous on [a,b] and k is any number between f(a) and f(b), then there is at least one number c between a and b such that f(c)=k Intermediate value theorem

In a rational funcion, the graph appears to approach thee horizontal line y=c, as x approaching infinity or negative infinity. In this case, what is y=c? horizontal asymptote

In a rational function, this asymptote occurs when a factor remains in the denominator. vertical

In a rational function, this asymptote occurs when the power of x in the numerator is greater than the power of x in the denominator. slant

this of the function f(x) at x=a is defined as f'(a)= lim(h approaching to 0) (f(a+h)-f(a))/h derivative

The derivative using this rule is (d/dx)x^n=nx^(n-1) where n is any real number power rule

suppose that f and g are differentiable at x. then (d/dx)[f(x)g(x)]= f'(x)g(x)+f(x)g'(X). what is this rule's name? product rule

suppose that f and g are differentiable at x and g(x) is not equal to 0. Then (d/dx)[f(x)/g(x)]= (f'(x)g(x)-f(x)g'(x))/(g(x))^2. What's this rule's name? quotient rule

When f(x)>=g(x) on the interval [a,b], then the ? between these two curves in the given interval is ∫ [f(x)-g(x)]dx (bounded a to b) area

When V= ∫ pi[(outer radius)^2-(inner radius)^2]dx (bounded a to b) What method is this? Washer

S= 2pi∫ f(x){sqrt(1+[f'(x)]^2)} dx on the bounds of a to b. What is this formula for? surface area

A situation where population growth levels off and approaches a limiting number M ( the carrying capacity) because of limited resources is called this. logistic growth

graphical approach, also called 'direction fields'. Pick several points (x,y) and sketch a tiny segment with slope as specified by dy/dx. It shows the general shape of all solutions. slope fields

Numerical approximation to the solution to a differential equation. Arithmetic way of following the lines in a slope field. Use the point slope form to find an approximation value. Given an initial value, and an indicated step size, along with the DE, we can solve for the solution. What method is this? Euler's method

the process of finding the greatest or least value of a function for some constraint, which must be true regardless of the solution. This finds the most suitable value for a function within a given domain. Optimization

If the limit does not exist, we say that the improper integral ____. diverge

This coordinate system is a two-dimensional system where each point is represented as a distance r from the origin (sometimes called the pole) and an angle θ from the positive horizontal axis. polar

This series diverges if |r|>=1. If |r|<1, the series converges to the sum S=a/(1-r). _____ series. geometric

This series is a series whose terms are alternately positive and negative. ____ series. alternating

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- Crossword Puzzle

the graph of y=c (0,c) Horizontal Line

A value of the variable that makes the inequality true Solution

Two simple inequalities joined by "and" or "or" Compound

All real numbers that are greater than or equal to a number and less than a number Conjunction

The distance a number is from 0 on a number line Absolute Value

A mapping, or pairing, of input values with output values Relation

Set of input values Domain

Set of output values Range

A solution of such an equation if the equation is true when the values of 'x' and 'y' are substituted into the equation Ordered Pair

The input variable (x) Independent

The output variable (y) Dependent variable

Slopes that are the same Parallel

Slopes that are negative reciprocals of each other Perpendicular

y=mx+b Slope Intercept

2n-3>9 is an example of a(n) ___ Linear Inequality

The graph of x=c (c,0) Vertical

y-y1=m(x-x1) Slope

Functions that are represented by a combination of equations, each corresponding to a part of the domain Piecewise

h(x)=f(x)/g(x) Division

h(x)=g(f(n)) Composition

h(x)=f(x)+g(x) Addition

h(x)=f(x)-g(x) Subtraction

h(x)=f(x)g(x) Multiplication

Maps the output values back to their original input values Inverse Relation

uses the coefficient of the quotient to divide a polynomial Synthetic division

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a solid bounded by 6 rectangular faces cuboid

a cuboid whose length and breadths are equal cube

a figure generated by rotating a right triangle about a perpendicular side is called right circular cone

the measure of a occupied space by a solid is called volume

2 pi r(r+h) is the total surface area of cylinder

1/3 pi "r square"is the volume of cone

4/3 pi r square is the volume of sphere

2/3 pi r square is the volume of hemisphere

l x b x h is the volume of cuboid

'a cube' is the volume of cube

root(r square + h square ) is the slant height

6 'a square ' is the ---------- of a cube total surface area

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Blood Typing

RH factor

Antibodies

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Homicide

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Clues

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Bullet

Science

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"4 female ghostbusters?" " The feminists are taking over... 'IM an ___- ____ " ADULT VIRGIN

"Can i get a ___ ? " "Can I PLEASE get a ____" WAFFLE

"so you just gonna bring me a ___ gift on my ___ to my __ party on my __ with a__ gift? " "happy ___?" BIRTHDAY

"That was ____" LEGITNESS

"miss ___ ?" "miss ___?' "miss ___." "Oh man f***in' god she f***in' dead" KEISHA

"___ BOOOY, I LoVE YoU" COUNTRY

"Brandon, ask me what type of tree this is? " no." "just ask me" ' i-its a ___ tree" CHRISPINE

"heyyy. I wanna be _____" FAMOUS

".....___?" "-DO I LOOK LIKE-" DADDY

"U stoopid." "no i not" "whats 9 + 10? " '___' TWENTY-ONE

"I don't need ____, they disappoint me" FRIENDS

"B***h called me ugly I said bitch where, she said under all that ___, I said b***h ..where??" MAKEUP

"we have a lot of laughs.." 'f**k off janet, Im not going to your f**kin ___" BABYSHOWER

"Hi. My names ___ and you're watching my life crumble into pieces" "da-doii-doiiiiii" FAILURE

"I have ___ depression" CRIPPLING

'IM __" GAY

"GIVE ME YOU ___ MONEY" *law and order DUN DUN* MONEY

"She's drunk asf**k y'all" "IM WASHIN ME AND MY ____ b**ch" 'im washin me and my ____" CLOTHES

"hurry up were gonna be late for school!!" "bruh, chill. I don't know why you're in a big time ___" *UH-UH-UHH* RUSH

"Oh my goi... oh my goi he on ____ mode” X-GAMES

"you ready to f***in DIE ?!?!?" "i-i-imma ___ b***h, you can't kill me" BAD

"what is up __?" "no, what you say dude" "SQUARE UP ___" "STEP DA F**K UP ___" KYLE

*sees rat in walmart* "___" .."is that real" HZZUH

*slides on ice * "Good __" EVENING

"Welcome to Jesus Christ ____, Sir, you are live..'yea, JESUS CHRIST F**KI SU-'" HOTLINE

"Next time you f**kin' put your hands on me I'mma f***in' rip your __ off b***h" "What did he do to you ?" "-cause HE F**kiN PuSHeD mE" FACE

"if your name is ___, and you're really handsome, come on raise your hand!" JUNIOR

"Hi, and this is my impression of ___ when she goes to wash her hands, but the waters too hot" "OoAoO...thank you.' SHAKIRA

"Kim and Collin, run in here and come get yo' juice.." "s***" JUICE

"When will you learn ... WHEN WILL YOU LEARN?" "tHaT Your ___ HaVe COnSeQUencEs!!1!" ACTIONS

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enemies

governor john connally

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The highest point on a graph, especially over a specified domain Absolute Maximum

The lowest point on a graph, especially over a specified domain Absolute Minimum

Given a function with a derivative, the antiderivative of that derivative function returns the original function. Antiderivative

a basic rule in calculus to find the derivative of a composite function Chain Rule

When approximating an integral in calculus we may treat each partition as a Trapezoid to determine the area under the curve. Trapezoidal Rule

A Derivative taken of a first Derivative Second Derivative

A simple device in calculus to determine the derivative of a monomial. Power Rule

An algorithm within the calculus to find the derivative of the Product of two functions. Product Rule

adheres to this property: f(-x) = -f(x). Odd Function

derivative of a constant Zero

If f is continuous on [a,b] then f has an absolute maximum and an absolute minimum on [a,b]. The global extrema occur at critical points in the interval or at endpoints of the interval. Extreme Value Theorem

If f'(c)=0 or does not exist, and c is in the domain of f, then c is a critical number. (Derivative is 0 or undefined) Critical Number

Let f be continuous on [a,b] and differentiable on (a,b) and if f(a)=f(b) then there is at least one number c on (a,b) such that f'(c)=0 (If the slope of the secant is 0, the derivative must = 0 some Rolle's Theorem

The instantaneous rate of change will equal the mean rate of change somewhere in the interval. Or, the tangent line will be parallel to the secant line. Mean Value Theorem

[(f'(x) g(x)) - ((f(x) g'(x))] / (g(x))^2 Quotient Rule

A change in concavity Inflection Point

derivative of sin(x). cos(x)

derivative of cos(x). -sin(x)

derivative of ln(x) 1/x

derivative of csc(x). -csc(x)cot(x)

derivative of sec(x). sec(x)tan(x)

(y₂-y₁)/(x₂-x₁) Slope

switch x and y inverse function