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MATH 4109 Test 3 2025 Questions and Answers 100% Pass

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MATH 4109 Test 3 2025 Questions and Answers 100% Pass In which country were Descartes and Fermat born? - France What method did Fermat use to solve maximum/minimum problems? - Pseudo- equality method How were Descartes' and Fermat's coordinate systems different from ours today? - They never referred to a vertical axis. What was the major contribution of Father Marin Mersenne to the development of mathematics? - He organized regular meetings of scholars that allowed them to share their ideas. Who was the Queen of Sweden when Descartes died? - Christina Who was the first mathematician to solve a maximum/minimum problem? - Pierre de Fermat Which two mathematicians co-developed analytic geometry? - Rene Descartes and Pierre de Fermat What branch of mathematics was introduced in the book, La Geometrie? - Analytic Geometry Which mathematician is known as the father of modern philosophy? - Rene Descartes What does "Cogito ergo sum" mean? - I think therefore I am 2COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED According to Pascal, what does Pascal's Wager prove? - Pascal's Wager proves that belief in God is rational. Who wrote the first book on games of chance titled The Book on Games of Chance? - Girolamo Cardano Which mathematician was the "greatest might have been" in mathematics? - Blaise Pascal Which one of the ancient civilizations knew about the triangle that we call "Pascal's Triangle?" - Chinese What was the problem of the points? - How should the stakes be distributed fairly when a game is stopped early? Who founded the theory of games? - John von Neumann If a fair coin is tossed twice, what is the probability of getti

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MATH 4109 Test 3 2025 Questions and
Answers 100% Pass

In which country were Descartes and Fermat born? - ✔✔France

What method did Fermat use to solve maximum/minimum problems? - ✔✔Pseudo-
equality method

How were Descartes' and Fermat's coordinate systems different from ours today? -
✔✔They never referred to a vertical axis.

What was the major contribution of Father Marin Mersenne to the development of
mathematics? - ✔✔He organized regular meetings of scholars that allowed them to
share their ideas.

Who was the Queen of Sweden when Descartes died? - ✔✔Christina

Who was the first mathematician to solve a maximum/minimum problem? - ✔✔Pierre
de Fermat

Which two mathematicians co-developed analytic geometry? - ✔✔Rene Descartes and
Pierre de Fermat

What branch of mathematics was introduced in the book, La Geometrie? - ✔✔Analytic
Geometry

Which mathematician is known as the father of modern philosophy? - ✔✔Rene
Descartes

What does "Cogito ergo sum" mean? - ✔✔I think therefore I am


COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 1

, According to Pascal, what does Pascal's Wager prove? - ✔✔Pascal's Wager proves that
belief in God is rational.

Who wrote the first book on games of chance titled The Book on Games of Chance? -
✔✔Girolamo Cardano

Which mathematician was the "greatest might have been" in mathematics? - ✔✔Blaise
Pascal

Which one of the ancient civilizations knew about the triangle that we call "Pascal's
Triangle?" - ✔✔Chinese

What was the problem of the points? - ✔✔How should the stakes be distributed fairly
when a game is stopped early?

Who founded the theory of games? - ✔✔John von Neumann

If a fair coin is tossed twice, what is the probability of getting two heads? - ✔✔1/4

Who were the co-developers of probability? - ✔✔Blaise Pascal and Pierre de Fermat

What is true about the sum of the numbers on each row of Pascal's triangle? - ✔✔The
sums are all powers of two.

The two men who co-developed probability used different strategies to solve the
problem of the points. Which one of the two made a list of all the possible ways that the
game could be completed to solve the problem? - ✔✔Pierre de Fermat

True or False: A prime number has only one factor. - ✔✔False

What was Marin Mersenne's contribution to the development of mathematics? - ✔✔He
hosted regular gatherings of mathematicians who exchanged ideas.

What is a Mersenne number? - ✔✔A number that can be written in the form 2^n - 1

Which of the following is an application of number theory? - ✔✔Cryptography



COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 2

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