What is the value of x in the equation 2x + 5 = 15
5
This mathematician made a famous formula about a right triangle.
Pythagoras
What is the derivative of 3x4
12x3
The sum of angles in any triangle
180
What is a set? (Does not have to be a formal axiomatic definition)
multiple answers
This property states a(b+c) = ab + ac
Distributive property
What is 2 radians in degrees?
360/pi
What is the informal definition of a continuous function
Multiple answers
What is the smallest prime number
2
What is a subset
If all elements of A are in B, A is a subset of B
What is (x2−9)/(x−3) simplified?
x+3
What is the domain of sqrt(4 - x2)
-2 <= x <= 2
What is the derivative of cos(e(2x))
-sin(e(2x))2e2x
This measure used in statistics is defined by adding up all the values and dividing by the number of values
mean
What is a power set?
The collection of all subsets of a given set, including the empty set and the original set itself
What is the inverse function of f(x) = 1/(x-2)
1/x + 2
This function is the inverse of of the exponential function
Logarithm
What is the integral of e-x from x = 0 to x = inf
1
This famous theorem was first written down by Pierre de Fermat, and was later proved by Andrew Wiles
Fermats Last Theorem
Using set theory, give a definition of the irrationals
R\Z
A degree n polynomial is uniquely determined by ___ points
n+1
What is cos(arcsin(x)) simplified?
sqrt(1 - x2)
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
Grigori Perelman
For a finite set with n elements, what is the size of the power set?
2n