Math History
This Greek mathematician is known for a famous theorem relating the sides of a right triangle.
Who is Pythagoras?
Fill in the blank:
This theorem states that if a function f is _________ on a closed interval [a,b] and _________ on the open interval (a,b), then there exists at least one number c∈(a,b) such that f'(c)=_________.
1. What is continuous?
2. What is differentiable?
3. What is (f(b)-f(a))/(b-a)?
This measure of center is found by averaging all data values.
What is the mean?
This property states that a(b+c)=ab+ac.
This theorem relates the sides of a right triangle.
What is the Pythagorean Theorem?
This Greek mathematician is known as the “Father of Geometry” for compiling Elements.
Who is Euclid?
A function satisfies f'(x) = f(x) and f(0)=3. Find f(x).
What is 3ex?
This measure of spread is the difference between the largest and smallest values.
What is the range?
The number of roots of x5-3x+1=0 guaranteed by the Fundamental Theorem of Algebra.
What is 5?
Find the area of a triangle with base 6 and height 5.
What is 15?
This mathematician introduced a coordinate system that links algebra and geometry.
Who is René Descartes?
Differentiate x2lnx.
What is 2xlnx+x?
If two events are mutually exclusive, then P(A∩B) equals this.
What is 0?
Factor completely: x3+8.
What is (x+2) (x2-2x+4)?
The measure of each interior angle of a regular octagon.
What is 135 degrees?
This 17th-century debate between Newton and Leibniz concerned priority over the invention of this field.
What is calculus?
This theorem links derivatives and definite integrals.
What is the Fundamental Theorem of Calculus?
This sampling method divides a population into groups and randomly selects from each group.
What is stratified random sampling?
Determine the total number of solutions for the following equation: x4-5x2+4=0
What is 4?
The sum of the exterior angles of any convex polygon.
What is 360 degrees?
This mathematician used the method of exhaustion to compute areas and volumes, anticipating integrals.
Who is Archimedes?
What is e?
When using the General Addition Rule, this probability must be subtracted to avoid double counting.
What is P(A∩B)?
If the roots of x2-4x+k=0 are equal, find k.
What is 4?
A regular polygon has interior angles of 150 degrees. Find the number of sides.
What is 12?