Math Jeopardy

College Algebra

100

Solve the following.

(3+4i)(2-i³)

2+11i

200

find f(g(x))

f(x)=2x+1

g(x)= x²

f(g(x))=2x²+1

300

Solve for x.

log₃ (x+2) - log₃ (x-1) = 2

x= 11/8

400

Find the vertex of 

f(x) = 2(x-3)² +4

(3,4)

500

Find the inverse

f(x) = 4x² - 3

f^-1 (x) = (x+3 / 4)^.5

Calculus

100

Find the limit

lim sin(theta)/theta

as x -> 0

1

200

.5²x² + .5²y² = 1

This equation creates what type of shape?

a. circle

b. hyperbola

c. ellipse

ellipse

300

integrate (4-x)^.5

-(2/3)(4-x)^3/2 + c

400

derive ln(x²)

2/x

500

find dy/dx for

x² + y² = 4

y'= -x/y

Linear Algebra

100

True or False:

(AB)^t = B^tA^t

True

200

A*B = B*A = ?

I (identity matrix)

300

Matrix A is 2x2, what does the following solve?

matrix A = [ a₁₁ a₁₂]

                 [ a₂₁ a₂₂]

? = a₁₁a₂₂ - a₂₁a₁₂

det(A)=|A|

400

Write the notation for magnitude of a

|a|

500

find a unit vector that has the same direction as
                        4i - j +8k=a

 a/||a|| = <4/9, -1/9, 8/9>

Random easy

100

what kind of proof is this called

P=>Q

Direct proof

200

Write the contrapositive notation

~Q->~P

300

derivative of sin(2x)

2cos(2x)

400

find z-score.

mu = 5

std = 25

x = 10

z = 5/25 = 1/5

500

derive tan(x)

sec²(x)

Random hard

100

Graph and state the domain of (x-3)^.5/(3-x)

(3,infinity)

200

What type of differential equation is the one below?

dy/dt = -ay + b

where a and b are constants

First order linear differential equation

300

Find a vector using A and B

A(0,2,2)

B(5,2,-5)

Hint: AB

AB= (5,0,-7)

400

graph r = sin (theta)

see calculator.

500

The word "algebra" is derived from which two languages?

a. Arabic

b. Latin

c. Greek

D. Hindi

Arabic and Latin