Cal AB Jeopardy

Limits

100

Lim x->-4 ((x^2)+2)

18

200

lim x->0 (3x+2)

2

300

lim x->0 2x+1/2x

DNE

400

lim x-> infinity (1/x)

0

500

lim x-> infinity (3x^2+2x+1)

infinity

Theorems

100

What does IVT stand for in AP Calculus?

Intermediate Value Theorem

200

What does MVT stand for in AP Calclus?

Mean Value Theorem

300

Do you look at IVT using the y-values or the slope values?

y-values

400

Do you look at MVT using the y-values or the slope values?

slope values

500

If the points (0,1), (1, 5), (3,13), & (4,17) exist in a continuous function, would there be a c value that exists between 1 and 3 with a y-value of 9?

Yes, by IVT, there is a c value between 1 and 3 with a y-value of 9 since 5<9<13.

Derivatives

100

d/dx 5x

5

200

d/dx 3x^2+6x+1

6x+6

300

d/dx 5x/6x

0

400

d/dx 3x^3+6x^2+5x+2

9x^2+12x+5

500

d/dx ln(3x^2+2)

6x/3x^2+2

Anit-Derivatives

100

integral of sec^2(x) dx

tan(x)+C

200

integral of 1/x dx

ln lxl +C

300

integral of 5x^2+3 dx

(5x^3)/3+3x+C

400

integral of -cos(x) dx

-sin(x)+C

500

integral of sec(x)tan(x) dx

sec(x)+C

Integrals

100

integral from 0 to 1 of 2xdx

1

200

integral from 0 to 4 of 5x^2dx

320/3

300

integral from 0 to 1 of 6x^2+1dx

2

400

integral from 0 to 1 of 7x^3+2x dx

11/4

500

integral from 1 to 2 of 8x^4+7x^2+6xdx

1124/15