Jeopardy

Precalc

100

What is the value of x in the equation 2x + 5 = 15

5

200

This property states a(b+c) = ab + ac

Distributive property

300

What is (x²−9)/(x−3) simplified?

x+3

400

What is the inverse function of f(x) = 1/(x-2)

1/x + 2

500

A degree n polynomial is uniquely determined by ___ points

n+1

Precalc cont.

100

This mathematician made a famous formula about a right triangle.

Pythagoras

200

What is 2 radians in degrees?

360/pi

300

What is the domain of sqrt(4 - x²)

-2 <= x <= 2

400

This function is the inverse of of the exponential function

Logarithm

500

What is cos(arcsin(x)) simplified?

sqrt(1 - x²)

Calculus

100

What is the derivative of 3x⁴

12x³

200

What is the informal definition of a continuous function

Multiple answers

300

What is the derivative of cos(e^(2x))

-sin(e^(2x))2e^2x

400

What is the integral of  e^-x from x = 0 to x = inf

1

500

According to this theorem, if f is continuous on [a, b] and differentiable on (a, b), there exists c in (a, b) such that f'(c) = (f(b) - f(a))/(b-a)

Mean value theorem

Wildcard

100

The sum of angles in any triangle

180

200

What is the smallest prime number

2

300

This measure used in statistics is defined by adding up all the values and dividing by the number of values

mean

400

This famous theorem was first written down by Pierre de Fermat, and was later proved by Andrew Wiles

Fermats Last Theorem

500

Who is the only mathematician to have proved a millennium problem?

Grigori Perelman

Sets

100

What is a set? (Does not have to be a formal axiomatic definition)

multiple answers

200

What is a subset

If all elements of A are in B, A is a subset of B

300

What is a power set?

The collection of all subsets of a given set, including the empty set and the original set itself 

400

Using set theory, give a definition of the irrationals

R\Z

500

For a finite set with n elements, what is the size of the power set?

2ⁿ