*Calculus Jeopardy*

Algebra

100

Multiply: a^x a^y

a^x+y

200

Solve: ln (e) = y

y = 1 

300

Solve: 5^x+1 = 125

x = 2 

400

Solve: x² + 3x - 7/4 = 0

x = 1/2, x = -7/2 

500

Given f(x) = 3x - 5, & g(x) = 2 - x², 

Find f(f(4))

f(f(4)) =16

Trigonometry

100

Convert 330 degrees to radians

(11 pi)/6 

200

sin (pi/3) 

sqrt (3)/2 

300

Is cosecant even or odd?

even

400

tan² x + 1 = _______

sec² x

500

(sec x)(sin x) = _____

tan x

Limits

100

lim (x->1): (x² + 3) 

4

200

lim (x->0):(sin 7x)/ x 

7

300

lim (x->oo):(2x² + 1)/(3x² + 2x - 1)

2/3

400

lim(x->-oo): e^x

0

500

lim (x->5^-):(x + 1)/(x - 5) 

- oo

Derivatives

100

y = e⁵

y' = 0

200

y = e^x - x³

y' = e^x - 3x²

300

y = sin (3x+7) 

y' = 3 cos (3x+7) 

400

y = ln (2x + 1)

y' = 2/(2x + 1) 

500

x³ + y³ = 64

y' = -x²/y²

Integrals

100

Int_(e²) dx

e²x + C

200

Int_ (x⁵) dx = 

(1/6) x⁶ + C

300

Int_(4/x) dx 

4 ln (x) +C

400

Int_(csc² x) dx 

- cot (x) + C

500

Int_sin² (x) cos (x) dx

(1/3) sin³ x + C