#### Study sets matching "ap calculus"

#### Study sets matching "ap calculus"

The Extreme Value Theorem states that

f(x) is increasing when

f(x) is decreasing when

f(x) has a critical point when

If f is continuous on a closed interval [a,b], then f has bot…

f' > 0

f' < 0

f' = 0 or f' is undefined

The Extreme Value Theorem states that

If f is continuous on a closed interval [a,b], then f has bot…

f(x) is increasing when

f' > 0

cos(x + y) =

sin(x + y) =

The definition of the derivative is

The alternate definition definition of…

cos(x)cos(y) - sin(x)sin(y)

sin(x)cos(y) + sin(y)cos(x)

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

f'(c) = lim(x → c) (f(x) - f(c))/(x - c)

cos(x + y) =

cos(x)cos(y) - sin(x)sin(y)

sin(x + y) =

sin(x)cos(y) + sin(y)cos(x)

When you are performing a renal ultras…

What is the size of adult kidney and w…

The functional unit of the kidney is _…

How many layers does the kidney have?…

-Renal length, width, thickness, and size ... -Renal echogenicit…

10-12cm long, 5 to 7.5cm wide, 2-3cm thick ... located at retrop…

The Nephrons

-3 layers ... -Internal: is the fibrous renal capsule.... -Middle l…

When you are performing a renal ultras…

-Renal length, width, thickness, and size ... -Renal echogenicit…

What is the size of adult kidney and w…

10-12cm long, 5 to 7.5cm wide, 2-3cm thick ... located at retrop…

Intermediate Value Theorem

Average Rate of Change

Instantenous Rate of Change

Formal definition of derivative

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

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(1)=-4 and f(6)=9, then there must be a x-value between 1…

Average Rate of Change

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

Indefinite (general) solution to integ…

General rule

Sum/difference rule

Constant rule

∫f(x)dx = F(x) + C

∫xdx = (x^(n + 1))/(n + 1) + C

∫(f(x) ± g(x))dx = ∫f(x)dx ± ∫g(x)dx

∫(k*f(x))dx = k*∫f(x)dx

Indefinite (general) solution to integ…

∫f(x)dx = F(x) + C

General rule

∫xdx = (x^(n + 1))/(n + 1) + C

Thomas Jefferson

John Adams

Alexander Hamilton

John Jay

Made secretary of state under George Washington

Vice President Under George Washington

Headed the treasury department under George Washington. Creat…

From New York, headed the Supreme Court, drafted controversia…

Thomas Jefferson

Made secretary of state under George Washington

John Adams

Vice President Under George Washington

What is speed?

How do you find total distance on [a,b…

How do you find total displacement on…

What is the FTC Part 1?

Speed is the absolute value of velocity.

Total distance on [a,b] given v(t) is found by adding the tot…

Total displacement on [a,b] given v(t) is found by taking the…

The FTC Part 1 is taking the integral of previously given def…

What is speed?

Speed is the absolute value of velocity.

How do you find total distance on [a,b…

Total distance on [a,b] given v(t) is found by adding the tot…

Definition of limit

Limit Theorem

Vertical Asymptote theorem

Uniquness Theorem

limf(x) as x aproaches c equals L if and only if the limit fr…

if f(x) is continuous @ x=c, then the limf(x) as x approaches…

if subsitiution leads to 1/0, then the graph of the function…

if limf(x) as x approaches c equals L and the limf(x) as x ap…

Definition of limit

limf(x) as x aproaches c equals L if and only if the limit fr…

Limit Theorem

if f(x) is continuous @ x=c, then the limf(x) as x approaches…

Definition of Derivative

Definition of Derivative (Alternate Fo…

d/dx sin x

d/dx cos x

lim f(x+Δx)-f(x) / Δx ... Δx->0

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

cos x

- sin x

Definition of Derivative

lim f(x+Δx)-f(x) / Δx ... Δx->0

Definition of Derivative (Alternate Fo…

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

Area of a square with side, s

Area of a semi circle with diameter, d

Area of an equilateral triangle with s…

Area of an isosceles right triangle wi…

A=S^2

A= Pi/8 d^2

A= Square root of 3/4 S^2

A= 1/4 h^2

Area of a square with side, s

A=S^2

Area of a semi circle with diameter, d

A= Pi/8 d^2

Main goal of Renaissance

Why not the Islamic world?

Why not China?

Ptolemy

Explain the Bible through science

Focus on the Quran, anti-west sentiment

Focus on the past, shift away from exploration

Geocentric theory

Main goal of Renaissance

Explain the Bible through science

Why not the Islamic world?

Focus on the Quran, anti-west sentiment