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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?
271828/10000
22/7
none of these
278/10

Question 2:


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

Question 3:


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

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
The Hyperbolic Cosine Law
Euler's Equation

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 mantissa of common logarithms
The base of natural logarithms
The limiting value of the sum of the squares of the odd numbers

Question 6:


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

Question 7:


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

 


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