Show:
POLYNOMIALS
TRIGONOMETRY
GEOMETRY
CALCULUS
WILD CARD
100
This parameter of a polynomial gives the maximum number of places the graph of the function may touch the x-axis.
What is the degree?
100
This lonely number results from subtracting tangent squared from secant squared.
What is 1?
100
This famous constant is the ratio of any circle's circumference to its diameter.
What is pi?
100
For any function f(x), this value is given by the limit as h approaches 0 of (f(a+h)-f(a)) / h.
What is the derivative of f(x) at x = a?
100
This branch of mathematics deals with the study of codes.
What is cryptography?
200
This formula gives the roots of a quadratic polynomial of the form y = ax^2 +bx +c.
What is the quadratic formula: x= (-b +- sqrt(b^2 - 4ac)) / 2a?
200
On the first lap around the unit circle, these are the TWO angles where the values of sine and cosine agree.
What are pi/4 and 5pi/4? (or 45 degrees and 225 degrees.)
200
This solid has a volume given by (4/3) times pi times radius squared.
What is a sphere?
200
Other than the natural exponential function, this is the only function that is its own derivative and antiderivative.
What is the zero function?
200
This property of multiplication holds for real numbers, but not for matrices.
What is the commutative property?
300
This non-positive quadratic function is tangent to the x-axis at the origin.
What is y = - x^2?
300
This standard trigonometric function has minumum values at all odd integer multiples of pi.
What is cosine?
300
This Platonic solid has 12 regular pentagonal faces and is often used as a 12-sided die.
What is a regular dodecahedron?
300
If the position of a particle at time t is given by any linear function, then this value gives the acceleration of the particle.
What is 0?
300
Leonhard Euler famously laid the groundwork for this mathematical discipline by solving the Konigsberg Bridge Problem.
What is graph theory?
400
This number gives the minimum number of real roots a polynomial of odd degree can have.
What is 1?
400
Of the three basic inverse trigonometric functions, this function is the only one which has a domain of all real numbers.
What is the inverse tangent?
400
This postulate states "If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles."
What is Euclid's fifth postulate (or the parallel line postulate)?
400
This method would be required to integrate a function like x*cos(x).
What is integration by parts?
400
A topologist is incapable of distinguishing this object from a coffee mug.
What is a doughnut? (Or anything else with one hole in it.)
500
Given any polynomial written in the form p(x)=Ax^n + ... + B, this describes the form any rational root of p(x) must have.
What is a factor of B divided by a factor of A?
500
This law states that for any triangle, the ratio of any side length to its opposite angle is constant.
What is the law of sines?
500
These three regular polygons are the only three regular polygons which can be used to tile the plane.
What are the equilateral triangle, square and regular hexagon?
500
According to the Mean Value Theorem, if f(x) is continuous on the interval [a,b], then there exists c in [a,b] such that this occurs.
What is the derivative of f at c equals the slope of the line segment between f(a) and f(b)? or, f'(c) = (f(b)-f(a))/(b-a)
500
This value gives the number of symmetries of a square.
What is 8?