#### Study sets matching "ap calculus"

#### Study sets matching "ap calculus"

Intermediate Value Theorem

Average Rate of Change

Instantenous Rate of Change

Formal definition of derivative

if f(x) is continuous on [a, b], all y-values between f(a) an…

Slope of secant line between two points, use to estimate inst…

Slope of tangent line at a point, value of derivative at a po…

limit as h approaches 0 of [f(a+h)-f(a)]/h

Intermediate Value Theorem

if f(x) is continuous on [a, b], all y-values between f(a) an…

Average Rate of Change

Slope of secant line between two points, use to estimate inst…

Hello everybody, and welcome back to s…

No grumpy cats in my class!

Yes, we have to do the work (eye roll)…

Oh gee, it seems I have forgotten to i…

Now I know that everyone is probably a little melancholy abou…

This is going to be the most hip year ever!

What's that?

Hi, I'm Ms. Fisher, this is my first year here at Lake Pointe…

Hello everybody, and welcome back to s…

Now I know that everyone is probably a little melancholy abou…

No grumpy cats in my class!

This is going to be the most hip year ever!

Area between curves on a plane

Volume of a solid of revolution using…

Volume of a solid of revolution using…

Volume of a solid of revolution using…

∫ f(upper curve) dx - ∫ f(lower curve) dx, from a-b

π ∫ (f(x))² dx, from a-b

π ∫ (f(outer radius))² dx - π ∫ (f(inner radius))² dx, from a-b

2π ∫ (shell radius)(shell height) dy, from a-b

Area between curves on a plane

∫ f(upper curve) dx - ∫ f(lower curve) dx, from a-b

Volume of a solid of revolution using…

π ∫ (f(x))² dx, from a-b

Contributors to Scientific Revolution

Geocentric

Heliocentric

Nicolaus Copernicus

- The Renaissance... - New technologies and methods... - The Reform…

Earth-centered view of universe

Sun-centered view of universe

Offered idea of a heliocentric model of the universe

Contributors to Scientific Revolution

- The Renaissance... - New technologies and methods... - The Reform…

Geocentric

Earth-centered view of universe

What conditions must be to satisfied f…

If the appropriate conditions are sati…

Limit

Quotient rule?

f(x) is continuous in the interval [a, b] and differentiable…

There is at least one point c in the interval (a, b) at which…

A limit is the value that a function or sequence "approaches"…

(vu'-uv')/v^2

What conditions must be to satisfied f…

f(x) is continuous in the interval [a, b] and differentiable…

If the appropriate conditions are sati…

There is at least one point c in the interval (a, b) at which…

theorem on limits

sandwich theorem

limit as theta approaches 0 [sinθ/θ]

the function y=f(x) is continuous at x…

if lim f(x) and lim g(x) are finite numbers, then:... -lim kf(x)…

if f(x) ≤ g(x) ≤ h(x) and as limit x approaches to c of f(x)…

1

-f(c) exists; (that is, c is in the domain of f)... - as limit o…

theorem on limits

if lim f(x) and lim g(x) are finite numbers, then:... -lim kf(x)…

sandwich theorem

if f(x) ≤ g(x) ≤ h(x) and as limit x approaches to c of f(x)…

ptomely

copernicus

harvey

galileo

he said the universe is earth centered

he said the sun is the center of the universe

study of the heart and how blood circulates through the body

the sun is the center of the universe with his telescope

ptomely

he said the universe is earth centered

copernicus

he said the sun is the center of the universe

Definition of the derivative

Definition of the derivative

Definition of continuity

Average rate of change of f(x) on [a,b]

f'(x)= lim h--->0 (f(x+h)-f(x))/h

f'(a)= lim x--->a (f(x)-f(a))/(x-a)

f is ______________ at c if... 1. f(c) is defined... 2. lim x--->c…

= (f(b)-f(a))/(b-a)

Definition of the derivative

f'(x)= lim h--->0 (f(x+h)-f(x))/h

Definition of the derivative

f'(a)= lim x--->a (f(x)-f(a))/(x-a)

Revolutions

Common Message is

Bill of Rights

Philosphes

Changes people's outlook, often based on coalition

English, American, and French revolutions are all labeled "de…

No taxation without representation

Mainly aethiests, coming up with new ideas

Revolutions

Changes people's outlook, often based on coalition

Common Message is

English, American, and French revolutions are all labeled "de…

linear density p @ x

growth rate

dy/dx = ...

rate of reaction

p = limit as change in x approaches 0 of change in m over cha…

limit as change in t approaches 0 of change in n over change…

lim as change in x approaches 0 of change in y over change in x

d[C]/dt = d[A]/dt = -d[B]/dt

linear density p @ x

p = limit as change in x approaches 0 of change in m over cha…

growth rate

limit as change in t approaches 0 of change in n over change…

Tokugawa Shogunate

Maroons

"Silver Drain"

Abolition

Last feudal Japanese military government, controlled Japan an…

escaped slaves

the concept of how most of the silver in late 1500's to early…

the act of abolishing or the state of being abolished; the en…

Tokugawa Shogunate

Last feudal Japanese military government, controlled Japan an…

Maroons

escaped slaves

How did O'Brien kill the man he descri…

Name 3 details that O'Brien used to de…

What does O'Brien imagine about the ma…

What does Azar compare the man to?

A grenade in My Khe

His upper lip and teeth were missing, his jaw was in his thro…

He was born in 1946 and his parents were farmers. He was not…

Cereal

How did O'Brien kill the man he descri…

A grenade in My Khe

Name 3 details that O'Brien used to de…

His upper lip and teeth were missing, his jaw was in his thro…

aestheticism

Where did the roots of aestheticism re…

Who were the dominant figures of Aesth…

The influence of D.G. Rossetti

a late 19th century literary movement that rested on the cred…

poetry of John Keats, Theopile Gautier's preface to Mademoise…

its origins had a close kinship to the reverence for beauty o…

The Aesthetic vogue of the later seventies & the eighties [in…

aestheticism

a late 19th century literary movement that rested on the cred…

Where did the roots of aestheticism re…

poetry of John Keats, Theopile Gautier's preface to Mademoise…

First Estate

Bourgeoisie

Divine Right

Aristocrats

Estate to which the clergy belonged

Term for the "middle class"

Absolute monarchs claimed to rule this

People belonging to the nobility or Second Estate

First Estate

Estate to which the clergy belonged

Bourgeoisie

Term for the "middle class"

domain of a function

limits

limit shortcut rules (approaching infi…

trig derivatives

-denominator can't = 0... -square root: x>= number under root... -x…

1. substitution... 2. factor, cancel, substitution ... -rewrite tri…

-higher power on top: lim= + or - infinity... -higher power on b…

sinx=cosx... cosx=-sinx... tanx=sec^2x... cotx=-csc^2x... secx=secxtanx... c…

domain of a function

-denominator can't = 0... -square root: x>= number under root... -x…

limits

1. substitution... 2. factor, cancel, substitution ... -rewrite tri…

limit value is a

if f(x) is continuous at x=c then

to find limit of given #

Squeeze Theorem

y value

lim x→c f(x) = f(c)

plug in # ( if not possible rationalize)

if there are 3 functions around a point, c, there is a less t…

limit value is a

y value

if f(x) is continuous at x=c then

lim x→c f(x) = f(c)

The Mean Value Theorem states that if…

Provided that the limit exists, the de…

A function is differentiable at x = a…

A function is continuous at x = c if a…

. . .there exists a c in (a, b), such that f'(c) = (f(b) - f(…

. . .f'(a) = lim(h->0) (f(a + h) - f(a)) / (h) or lim(x->a) (…

. . .f'(a) exists

. . .lim(x->c) f(x) = f(c)

The Mean Value Theorem states that if…

. . .there exists a c in (a, b), such that f'(c) = (f(b) - f(…

Provided that the limit exists, the de…

. . .f'(a) = lim(h->0) (f(a + h) - f(a)) / (h) or lim(x->a) (…

scientific revolution

for sins, church gave

enlightenment

joint-stock

natural world works the ways it does

indulgences

using knowledge to see how humans react

modern time selling stock

scientific revolution

natural world works the ways it does

for sins, church gave

indulgences

Main Limit Theorem

Squeeze Theorem

Intermediate Value Theorem

Max-and-Min Theorem

- sum of limits equals limit of sum... - difference of limits eq…

If f(x) is continuous in a closed interval, then there is a v…

must be a maximum and minimum value of the function within a…

Main Limit Theorem

- sum of limits equals limit of sum... - difference of limits eq…

Squeeze Theorem

Who is Robert Boyle

Who is issac newton

What is calculus

What is gravity

Explained that all matter is composed of tiny particles that…

The father of calculus and gravity

Branch breakthof mathematics developed by issac newton

Single force that keeps the planets in their orbits around th…

Who is Robert Boyle

Explained that all matter is composed of tiny particles that…

Who is issac newton

The father of calculus and gravity

What is the definition of e?

What is absolute value?

What is the definition of a derivative?

What is the definition of continuity?

e=lim(n→∞) (1+(1/n))ⁿ

x if x≥0... -x if x<0

lim(h→∞) (ƒ(x+h)-ƒ(x))/h

1) ƒ(c) is defined... 2) lim(x→c) ƒ(x) exists... 3) lim(x→c) ƒ(x)=ƒ…

What is the definition of e?

e=lim(n→∞) (1+(1/n))ⁿ

What is absolute value?

x if x≥0... -x if x<0

absolute advantage

allocative efficiency

black market

capital

the advantage conferred by the ability to produce more of a g…

an output level where the price equals the Marginal Cost (MC)…

a market in which goods or services are bought and sold illeg…

manufactured goods used to make other goods and services... For…

absolute advantage

the advantage conferred by the ability to produce more of a g…

allocative efficiency

an output level where the price equals the Marginal Cost (MC)…

Type of Glands

Complex Glands

Compound Racemose Glands

Serous Secretion

Complex... Compound Racemose

Acini discharge into ducts

Have special epithelial secretory cells from Acini

Thin, watery... Polyhedral cells

Type of Glands

Complex... Compound Racemose

Complex Glands

Acini discharge into ducts

sequence

Series

recursive formula

explicit formula

set of real numbers separated by commas (,)

set of real numbers separated by addition signs (+)

shows how to find the next term using the previous term, a1 i…

A formula that allows direct computation of any (nth) term fo…

sequence

set of real numbers separated by commas (,)

Series

set of real numbers separated by addition signs (+)