#### Study sets matching "ap calculus"

#### Study sets matching "ap calculus"

Find the zeros

Show that f(x) is even

Show that f(x) is odd

Show that lim x→a f(x) exists

aka: find the roots... set function = 0... * factor or use quadratic…

Algebraically: show that f(-x)=f(x)... Graphically: see if symmet…

Algebraically: show that f(-x)= -f(x)... Graphically: see if symm…

Show that lim x→a- f(x) = lim x→a+ f(x)

Find the zeros

aka: find the roots... set function = 0... * factor or use quadratic…

Show that f(x) is even

Algebraically: show that f(-x)=f(x)... Graphically: see if symmet…

'God's Handiwork"

"natural philosophers"

Alchemy and hermetic magic

Ptolemaic Universe

The world around them. Many educated Europeans were interested…

medieval scientists that preferred refined logical analysis to…

Tradition believed that the world was a living embodiment of d…

Universe seen as a series of concentric spheres with a fixed o…

'God's Handiwork"

The world around them. Many educated Europeans were interested…

"natural philosophers"

medieval scientists that preferred refined logical analysis to…

'God's Handiwork"

"natural philosophers"

Alchemy and hermetic magic

Ptolemaic Universe

The world around them. Many educated Europeans were interested…

medieval scientists that preferred refined logical analysis to…

Tradition believed that the world was a living embodiment of d…

Universe seen as a series of concentric spheres with a fixed o…

'God's Handiwork"

The world around them. Many educated Europeans were interested…

"natural philosophers"

medieval scientists that preferred refined logical analysis to…

Find the zeros

Find equation of the line tangent to f(…

Find equation of the line normal to f(x…

Show that f(x) is even

Set equation equal to 0 and solve

Take a derivative f'(x), find slope at a (f'(a)), and use the…

Take a derivative f'(x), find slope at a (f'(a)), take the opp…

Replace x with -x; if f(x) is even, f(-x) = f(x)

Find the zeros

Set equation equal to 0 and solve

Find equation of the line tangent to f(…

Take a derivative f'(x), find slope at a (f'(a)), and use the…

Find the zeros

Show that f(x) is even

Show that f(x) is odd

Show that lim x→a f(x) exists

aka: find the roots... set function = 0... * factor or use quadratic…

Algebraically: show that f(-x)=f(x)... Graphically: see if symmet…

Algebraically: show that f(-x)= -f(x)... Graphically: see if symm…

Show that lim x→a- f(x) = lim x→a+ f(x)

Find the zeros

aka: find the roots... set function = 0... * factor or use quadratic…

Show that f(x) is even

Algebraically: show that f(-x)=f(x)... Graphically: see if symmet…

Find the zeros

Show that f(x) is even

Show that f(x) is odd

Show that lim x→a f(x) exists

aka: find the roots... set function = 0... * factor or use quadratic…

Algebraically: show that f(-x)=f(x)... Graphically: see if symmet…

Algebraically: show that f(-x)= -f(x)... Graphically: see if symm…

Show that lim x→a- f(x) = lim x→a+ f(x)

Find the zeros

aka: find the roots... set function = 0... * factor or use quadratic…

Show that f(x) is even

Algebraically: show that f(-x)=f(x)... Graphically: see if symmet…

Decreasing

Increasing

Evaluating a limit

L'hopitals rule

f'<0 or f(x) is falling

F'>0 or f(x) is rising

1) direct substitution 2) 0/0 is a hole use L'hopital's rule o…

find the derivative of the numerator/derivative of denominator…

Decreasing

f'<0 or f(x) is falling

Increasing

F'>0 or f(x) is rising

Find the zeros

Show that f(x) is even

Show that f(x) is odd

Show that lim x→a f(x) exists

aka: find the roots... set function = 0... * factor or use quadratic…

Algebraically: show that f(-x)=f(x)... Graphically: see if symmet…

Algebraically: show that f(-x)= -f(x)... Graphically: see if symm…

Show that lim x→a- f(x) = lim x→a+ f(x)

Find the zeros

aka: find the roots... set function = 0... * factor or use quadratic…

Show that f(x) is even

Algebraically: show that f(-x)=f(x)... Graphically: see if symmet…

a fallacious argument that criticizes a…

You're wrong because you're a jerk.

Of course that writer supports gun cont…

tempts us to agree with the writer's as…

ad hominem argument

ad hominem argument

ad hominem argument

argument from authority (argument from false authority)

a fallacious argument that criticizes a…

ad hominem argument

You're wrong because you're a jerk.

ad hominem argument

sequence

series

partial sum

convergent

{aₐ}, an ordered list of numbers... Converges if the limit as "n…

∑(aₐ), an ordered list of numbers added together, typically co…

{Sₐ}, sum of the first "n" terms of a series

Series is convergent if the limit of the sequence {aₐ} as "n"…

sequence

{aₐ}, an ordered list of numbers... Converges if the limit as "n…

series

∑(aₐ), an ordered list of numbers added together, typically co…

Lavoisier

Kepler

Locke

Rousseau

Created the theory of combustion - when certain chemicals unit…

Proved mathematically that the orbits of the planets are ellip…

Proposed the theory of "tabula rasa" in his work "An Essay on…

"Man is born free, and everywhere he is in chains." - this wri…

Lavoisier

Created the theory of combustion - when certain chemicals unit…

Kepler

Proved mathematically that the orbits of the planets are ellip…

arithmetic sequence

Sequences to infinity

Geometric Sequence

Geometric Series Test

an = a1 + dn... d= common difference

plug in infinity and if its infinity then it diverges if its a…

a (r^n) ... a = 1st term... r = common ratio

r >= 1 then it diverges... r< 1 then it converges to the sum a1/1…

arithmetic sequence

an = a1 + dn... d= common difference

Sequences to infinity

plug in infinity and if its infinity then it diverges if its a…

Lavoisier

Kepler

Locke

Rousseau

Created the theory of combustion - when certain chemicals unit…

Proved mathematically that the orbits of planets are elliptical

Proposed the theory of tabula rasa in his work An Essay on the…

"Man is born free; and everywhere he is in chains." - this wri…

Lavoisier

Created the theory of combustion - when certain chemicals unit…

Kepler

Proved mathematically that the orbits of planets are elliptical

Ad Hominem Argument

Ad Hominem Argument

Argument from Authority

Argument from Authority

criticizes an idea by pointing something out about the person…

"Of course she supports gun control; she's a Democrat!"

tempts the audience to agree with the writer's assumptions bas…

"It is absurd to believe that baseball players use steroids be…

Ad Hominem Argument

criticizes an idea by pointing something out about the person…

Ad Hominem Argument

"Of course she supports gun control; she's a Democrat!"