Math History
The letter 'e', representing roughly the value 2.71, is named after this Swiss mathematician.
Who is Euler?
In algebra, this property states that a(b + c) = ab + ac.
What is the distributive property?
The Pythagorean theorem relates the squares of the sides of this type of triangle.
What is a right triangle?
This number is said to be the answer to the following limit: limx→2(3x+1).
What is 7?
In logic, this symbol (often written as ∨) represents a statement that is true if at least one of its components is true.
What is "or"?
This Italian mathematician gave his name to the sequence 1, 1, 2, 3, 5, 8….
Who is Fibonacci?
A solution 'x' to 5x − 2(3 − x) = 12 is said to be the following.
What is 18/7?
The area of a circle is calculated using this formula, where r is the radius.
what is pi*r^2?
The derivative of f(x)=3x^2+5x is said to be.
What is f'(x)=6x+5?
The negation of the statement “All cats are black” is logically equivalent to this statement.
What is "Some cats are not black"?
This English scientist developed calculus at the same time as Gottfried Wilhelm Leibniz.
Who is Isaac Newton?
Two possible solutions to the following equation can be found by factoring, x^2−9x=0.
What are x=0 and x=9?
In a triangle, one angle measures 50° and another measures 60°, the other angle measure is said to be this.
What is 70°?
The following limit can be evaluated to this number: limx→2 (x^2-4)/(x-2)
What is 4?
This law states that ¬(p∧q) is equivalent to ¬p∨¬q.
What is De Morgans Law?
As a young student, he quickly summed the integers from 1 to 100 by noticing a simple pairing pattern, demonstrating his genius early on.
Who is Gauss?
Solve for x: e^{2x}=7.
What is x=ln(7)/2?
If a circle has a radius of 5 and a chord is 8 units long, the distance between the chord and center could said to be this many units long.
What is 3 units long?
The answer to the following integral ∫(3x^2+2) dx
What is x^3 + 2x + C ?
The contrapositive of the statement “If it rains, then I will stay inside” is logically equivalent to this statement.
What is "If I do not stay inside, then it does not rain."?
This famous book titled 'The Elements', is a foundational work in algebra and geometry is written by this Greek mathematician.
Who is Euclid?
Solve for x: ln(x)+ln(x−2)=ln(15).
What is x=5?
This formula solves for the volume of a sphere.
What is V = (4/3)*pi*r^3?
The answer to the following integral ∫ (3-x)^{10} dx.
What is (-1/11) * (3-x)^{11} + C ?
If a statement leads to both a claim AND its negation when assumed true, what principle proves the statement false?
What is "Proof by Contradiction"?