AP Calculus Jeopardy

Limits

100

Limit as x approaches 5
(x²-25)/(x-5)

10

200

limit as x approaches infinity
(x³+4)/(5x²+2x+7)

infinity

300

limit as x approaches 2
(x³-7x²+10x)/(x²+x-6)

-6/5

400

limit as x approaches -4
(sin(x𝝿))/(x²-16)

- 𝝿/8

500

limit as x approaches 0

(sin(2x)+7x²-2x)/(x²(x+1)²)

7

Derivatives

100

8x³

24x²

200

e^5x

5e^5x

300

2e^{(x^2})⁺³

4xe^{(x^2)+3}

400

ln(e^{5x^2})

10/5x

500

(5e^x)(5x²)

25xe^x(x+2)

Integrals

100

Integrate sin(x)

-cos(x) + C

200

Integrate e^2x

1/2(e^2x) + C

300

Integrate x² + 2x from the bounds 0 to 4

37 1/3 or 112/3

400

Integrate 3(x²+3)^1/2

1/x * (x²+3)^3/2 + C

500

Integrate [6x²cos(x²) + 4x⁴sin(x²)] / cos²(x²)

[2x³ / cos(x²)] + C

Ms. Hommowun

100

Where did Mrs. Hommowun go to college?

UW Madison

200

How many kids does Mrs. Hommowun have?

2

300

What breed of dog does Mrs. Hommowun have?

Labrador

400

What sport does Mrs. Hommowun play for fun?

Sand Vollyball

500

What are Mrs. Hommowuns kids names?

Brynn and Griffin