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The Exponential Constant E

written by: shimonbentzvi
 
A quiz on the second most important mathematical constant after pi - the exponential constant e.

Question 1:


The mathematical constant e, one of the most important numbers in mathematics, is equal to which of these fractions?
278/10
271828/10000
22/7
none of these

Question 2:


Which of these statements best describes the mathematical constant e?
It is a transcendental and irrational number.
It is an algebraic transcendental and irrational number.
It is a rational transcendental number.
It is a transcendental number.

Question 3:


Why was the letter "e” chosen to denote the important mathematical constant e?
It was arbitrarily chosen by Latin scholars.
It stands for "exponential".
The first 4 letters of the alphabet were already taken.
It's the first letter of a mathematician's name.

Question 4:


e^(pi*i) +1 = 0 is an important formula, involving the key mathematical constant e, which is popularly known as what?
Newton's Equation
Einstein's Equation
Euler's Equation
The Hyperbolic Cosine Law

Question 5:


The constant e is present in countless fields of mathematics but its most significant function is related to its use in what?
The characteristics of unitary matrices
The limiting value of the sum of the squares of the odd numbers
The base of natural logarithms
The mantissa of common logarithms

Question 6:


What significant discovery about the nature of the constant e did French mathematician Charles Hermite make in 1873?
e is transcendental.
e is irrational
e is algebraic.
e^pi is transcendental.

Question 7:


What is the derivative of y in this function related to the exponential constant e: If y=e^x?
e^x
e^x +x
e^pi
e

 


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