Calculus Triple Jeopardy

GOATS!!!

100

This French mathematician popularized the conventional notation for representing unknown variables (i.e. x, y, z)

Who is René Descartes?

200

This currently alive mathematician is regarded as the "Mozart of Mathematics," being the youngest International Math Olympiad participant in history, at just the age of 10

Who is Terence Tao?

300

This Indian mathematician was the first to verbalize the quadratic formula in a clear way

Who is Brahmagupta?

400

This French mathematician was applauded for his study in prime numbers, in which he focused on a specific type of them, named after him

Who is Marin Mersenne?

500

This French mathematician revolutionized complex analysis, establishing a formal definition of a residue, leading to his famous integral theorem

Who is Augustin-Louis Cauchy?

+ eC^pi

100

∫2sin^2(x) + cos(2x) dx

x + C

200

∫(1-x)/(1+x) dx

2ln(1+x) - x + C

300

∫ (x^2 - x)/(x^2 - 1)dx

x - ln|1+x| + C

400

∫ (2025)^(2025x) dx

1/(2025ln(2025)) * 2025^(2025x) + C

500

∫ 1/(x^2025 + x) dx

ln|x| - 1/2024 * ln(1 + x^2024) + C

x'(f)

100

d/dx x/(1+x)

1/(x+1)^2

200

d/dx (xln(x) - x)

ln(x)

300

d^2025/dx^2025 sin(x)cos(x)

2^2024 * cos(2x)

400

d/dx 2^ln(x)

ln(2) * x^(ln(2)-1)

500

d/dx (x^x)

x^x * (xln(x) + 1)

Unknown Stuffs

100

This fundamental theorem states that every complex polynomial has exactly the number of roots as its highest degree, counting multiplicities

What is the Fundamental Theorem of Algebra?

200

This famous unsolved conjecture asserts that every even natural number greater than 2 can be written as the sum of two prime numbers

What is Goldbach's Conjecture?

300

This is the name of the method that solves a general quartic equation

What is Ferrari's Method?

400

This is the name of an infinite product representation of pi; specifically, that pi = (2*2*4*4*...)/(3*3*5*5...)

What is the Wallis Product?

500

This is the name of the famous problem that Leonhard Euler solved in 1734, regarding the infinite summation of the reciprocal of natural squares (1/1^2 + 1/2^2 + 1/3^2 + ...)

What is the Basel Problem?

What is That???

100

This was the first movie to break $1 billion at the box office

What is Titanic?

200

This is the capital of Trinidad and Tobago

What is Port of Spain?

300

This is the year that Charles Babbage created the first mechanical computer

What is 1822?

400

This is the fifth most sold video game of all time, released in 2014

What is Mario Kart 8 Deluxe?

500

The two M's in M&Ms stand for these two names, as they created the candy during WWII

Who are Forrest Mars and Bruce Murrie?