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MHF Test 4
MHF Test 4
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1
What series is named after Joseph Fourier?
Alternating Series
Fourier Series
Microscopic Series
Telescoping Series
2
Descartes contributions to mathematics include __________.
using the square root symbol in the modern way
The Fundamental Theorem of Algebra
Descartes Rule of Signs
All of the Answers
3
Maclaurin was known for popularizing Newton’s Method of Fluxions in his ________________.
Treatise on Algebra
Treatise on Cramer's Rule
Treatise on Fluxions
Treatise on Axioms
4
_________ is from Leicestershire, England and taught himself math.
Blaise Pascal
Pythagorus
Archimedes
Thomas Simpson
5
Gauss proved The Fundamental Theorem of_______________.
Algebra
Calculus
Trigonometry
Arithmetic
6
Who did Leonhard Euler succeed as the chair of mathematics St. Petersburg Academy of Science?
Daniel Bernoulli
Fredrick The Great
Johann Bernoulli
Nicholas Bernoulli
7
___________ are functions, quantities, or properties which remain unchanged when a specified transformation is applied.
Deviations
Variations
Morphisms
Invariants
8
Blaise Pascal tested the theories of Galileo and Evangelista Torricelli by reproducing and amplifying experiments on __.
atmospheric pressure
calculating how stakes should be divided
creating a perpetual motion machine
equilibrium of liquid solids
9
________________ was the mathematician responsible for creating a big component of the Modern Complex Functional Theory.
Albert Einstein
Isaac Newton
Bernhard Riemann
Daniel Bernoulli
10
According to Bernoulli’s Principle, as velocity of a fluid increases, ____________.
pressure decreases
kinetic energy decreases
pressure increases
potential energy decreases
11
Leibniz discovered __________________ by researching figures about a certain axis.
The Product Rule Formula
The Chain Rule
Partial Integration
The Method of Integration by Parts
12
What was the work Johann Bernoulli plagiarized off his son Daniel?
Acta Eruditorium
The Art of Probability
Hidraulica
Hydrodynamica
13
Which of Newton’s proofs is still the basis of the modern proof?
The Applied Reasoning of Apples Falling
The Binomial Theorem
Series for Trigonometric Functions
The Fundamental Theorem of Calculus
14
Descartes was not alone in his development of analytic geometry. In fact, at least as much credit must be apportioned to
Diophantus of Alexandria
Marin Mersenne
Pierre de Fermat
DeBeaune
15
The book__ was mainly devoted to Diophantine equations of second degree and is considered Leonardo of Pisa's Masterpiece
Flos
Liber Abaci
Practica Geometriae
Liber Quadratorum
16
What is the name of the axiom that states that every problem could either be solved or proven impossible to?
Axiom of Solvability
Axiom of Choice
Axiom of Impossible Solutions
None of the Above
17
________________ was the greatest mathematical work of Jakob Bernoulli, and it was published 8 years after his death.
The Art of Conjecturing
Acta Eruditorium
The Art of Probability
Combinations and Permutations
18
In _____, Daniel Bernoulli wrote Hydrodynamica over all of his studies.
1725
1738
1783
1715
19
In the harmonic triangle, each row after the first corresponds to what is now referred to as ____________________.
Taylor Series
Microscoping Series
Telescoping Series
Alternating Series
20
Although Oresme’s work resembled a Cartesian graph, it was more accurately define as a __________.
definite integral
bell curve
sine wave
cosine wave
21
Acta Eruditorium
is important to calculus because the term _______ appears for the first time with its ________ meaning.
integral; integration
permutation; probability
derivative; calculus
derive; derivative
22
_____________ was also known as Fibonacci.
Nicholas Oresme
Jean-Baptist Fourier
Leonardo of Pisa
Rene Descartes
23
On what type of series did De Moivre include results in
Miscellaneous Analysis
?
Arithmetic Series
Geometric Series
Evolution Series
Recurrent Series
24
In 1637, ________________ appeared and its third appendix,
The Geometry
, forever linked René Descartes with mathematics.
Book of Squares
Questions on the Geometry of Euclid
Discourse on the Method
Book of the Abacus
25
Which of the following equations did Carl Friedrich Gauss develop to use in his proof of the septendecagon?
Heptagonal
Cryptographic
Decagonal
Cyclotomic
26
____________ was the first person to use the modern day infinity symbol in a published work.
Isaac Newton
Pierre de Fermat
John Wallis
René Descartes
27
Answer the question below
Conic Sections
Algebra
Analytic Geometry
Differential Calculus
28
Riemann’s Geometry set the stage for Einstein’s _______________________.
Theory of Relativity
Theory of quantum mechanics
Riemann Sums
Theory of Preciseness
29
The ______________ is considered Newton’s most important work in mathematics.
Binomial Theorem
Fundamental Theorem of Calculus
Series for Implicit Functions
Idea of Gravity
30
Isaac Barrow was a Professor of ___________.
Greek
Geometry
All of the Above
Astronomy
31
In addition to the development of Analytic Trigonometry, in what other theory was Abraham De Moivre a pioneer?
Theory of Probability
Analytic Geometry
Theory of Series
Calculus
32
During ______________, Joseph Fourier was arrested and almost sent to the guillotine.
The American Revolution
The French Revolution
World War 1
The Korean War
33
Maclaurin’s method for Cramer’s Rule was hard to follow because
Maclaurin was not associated with Cramer’s Rule.
Maclaurin did not document any of his work.
he did not explain the rules for alteration for the signs.
he did not explain the rules for keeping the signs.
34
Euler was the first to consider the question of ______________.
All of the Above
divergence
infinite series
convergence
35
Thomas Simpson is responsible for the Simpson-Weber _______ founded in 1750.
Triangle
Square
Line
Circle
36
How did John Wallis publish his proofs?
Orally
Geometrically
Algebraically
All of the Above
37
Isaac Barrow proved a version of ____________.
The Fundamental Theorem of Calculus
The Fundamental Theorem of Algebra
The Fundamental Theorem of Differentials Equations
The Fundamental Theorem of Arithmetic
38
Nicholas Oresme works can be traced back to the origins of _____________.
All of the Above
the modern graph
the modern star chart
the modern picture
39
Answer the question below.
Isaac Barrow
Blaise Pascal
Johann Bernoulli
John Wallis
40
Where did Johann Bernoulli gain his first chair at a college in the area of mathematics?
None of the answers
Cambridge
Groningen
Greshen