MATH 4109 Modules 16-19 2025
Questions and Answers 100% Pass
What are Mersenne primes? - ✔✔prime numbers that can be written in the form 2^n - 1
Which of the following is known as Euler's identity? - ✔✔e^(ix) = cos x + i(sin x)
What do we call two numbers that are equal to the sum of the proper divisors of the
other number? - ✔✔Friendly numbers
Euler gave several proofs of Heron's formula for the area of a triangle with side lengths
a, b, and c.: Area=sqrt(s(s−a)(s−b)(s−c))
What is s? - ✔✔Half the perimeter of the triangle
Are there any odd perfect numbers? - ✔✔This remains an unsolved problem.
Which number did Euler refer to as "neither nothing, nor greater than nothing, nor less
than nothing"? - ✔✔sqrt(-1)
With which physical disability was Euler afflicted in his later years? - ✔✔He was blind.
Euler's work on the Konigsberg Bridge Problem laid the foundations for which branch
of mathematics? - ✔✔Graph Theory
What are the three points that lie on an Euler line? - ✔✔Centroid, Circumcenter,
Orthocenter
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 1
Questions and Answers 100% Pass
What are Mersenne primes? - ✔✔prime numbers that can be written in the form 2^n - 1
Which of the following is known as Euler's identity? - ✔✔e^(ix) = cos x + i(sin x)
What do we call two numbers that are equal to the sum of the proper divisors of the
other number? - ✔✔Friendly numbers
Euler gave several proofs of Heron's formula for the area of a triangle with side lengths
a, b, and c.: Area=sqrt(s(s−a)(s−b)(s−c))
What is s? - ✔✔Half the perimeter of the triangle
Are there any odd perfect numbers? - ✔✔This remains an unsolved problem.
Which number did Euler refer to as "neither nothing, nor greater than nothing, nor less
than nothing"? - ✔✔sqrt(-1)
With which physical disability was Euler afflicted in his later years? - ✔✔He was blind.
Euler's work on the Konigsberg Bridge Problem laid the foundations for which branch
of mathematics? - ✔✔Graph Theory
What are the three points that lie on an Euler line? - ✔✔Centroid, Circumcenter,
Orthocenter
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 1
