AP Calculus - Beginning Limits

Radians

100

Radian equivalent for 30 degrees

Pi/6

200

Number of radians for a complete circle

2Pi

300

Radian equivalent of 270 degrees

3Pi/2

400

Radian equivalent of 315 degrees

7Pi/4

500

Radian equivalent of 480 degrees

8Pi/3

Unit Circle

100

What is the trig value that corresponds to the x-coordinate?

cos(theta)

200

sin(Pi/2)

1

300

cos(5Pi/6)

-Sqrt(3)/2

400

The tangent of what angle is 1?

Pi/4 or 5Pi/4

500

The sine of what angle in the third or fourth quadrant is -1/2

7Pi/6 or 11Pi/6

General Calculus

100

Name three times when a limit does not exist.

1. f(x) approaches a different number from left and right side of c 2. f(x) increases or decreases without bound 3. f(x) oscillates between two fixed values

200

Name the three parts of calculus.

Limits Differentiation Integration

300

What does the notation lim x->8 f(x) = 25 mean?

As x gets arbitrarily close to 8, f(x) approaches 25

400

If f(2)=4, can you conclude anything about the limit of f(x) as x approaches 2?

No

500

If the limit of f(x) as x approaches 2 is 4, can you conclude anything about f(2)?

No

Limits

100

lim┬(x→-1)⁡ (x^2-1)/(x+1)

-2

200

lim┬(x→-3)⁡ (x^2+x-6)/(x^2-9)

5/6

300

lim┬(x→2) ⁡3/(4x)

3/8

400

lim┬(x→3)⁡〖(√(x+1)-2)/(x-3)〗

1/4

500

lim┬(x→4)⁡〖(x^2-5x+4)/(x^2-2x-8)〗

1/2

Culture

100

Who is known jokingly known as a Cheeto?

Who is Donald Trump? 

200

Who is the richest rapper of all time?

Who is Jay-Z? (2.5 Billion)

300

What is Peso Pluma's #1 song of all time?

No. 1, “Ella Baila Sola,” with Eslabon Armado (13 weeks at No. 1)

400

What do Taylor Swift fans call themselves?

What is a Swiftie? 

500

What movie - directed by a woman - grossed almost half a billion dollars?

Who is Barbie?