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Applications of Calculus
Famous Mathematicians
Integrals
Approximations of Area
Wild Card
100
The process through which a quantity is maximized or minimized.
What is optimization?
100
This poor guy kinda got screwed out of history by Newton, like the Tesla to Newton’s Edison, or the Wallace to Newton’s Darwin.
Who is Gottfried Leibnitz?
100
The integral of x^3+C?
What is (x^4)/4?
100
Used to find the area underneath or between two functions, and the simplest way to do so.
What is an integral?
100
The smallest state with the largest name.
What is Rhode Island, or Rhode Island and Providence Plantations?
200
A method of approximating changes in a function through its derivative.
What are differentials?
200
This Calculus-er?? (calculator?) formulated a rule that, using infinitesimally small increments, allows for the approximation of an integral. Hint: We learned his method before learning how to integrate, and he has a name that John Rockefeller would love.
Who is Leonhard Euler?
200
The integral of cos(x).
What is sin(x)+C?
200
2pi*(the integral from b to a ((h(x) * r(x))).
What is the shell method?
200
This city's largest airport, and busiest airport in the Great Lakes region, is named for a WWII hero. Its second largest is for a WWII battle.
What is Chicago?
300
A way to measure the total amount of movement produced by a force. Found through the equation force x distance.
What is work?
300
He laid the groundwork for Newton and Leibnitz, although he is probably better known for his numerical triangle.
Who is Blaise Pascal?
300
The integral of cot(x).
What is ln|sin x| + C?
300
The only method of measuring area that has a two-dimensional shape in its name.
What is the trapezoid rule?
300
One of the two Whig presidents not to die in office.
Who are Millard Fillmore or John Tyler?
400
The one thing you hope won’t be on the AP Test. Differentiating the Pythagorean Theorem is a common feature in solving these godawful problems.
What are related rate problems?
400
This man’s Sums led to the definition of an integral.
Who is Bernhard Riemann?
400
The integral of (1/x)+2x.
What is ln(x)+(x^2)?
400
It is exactly the same as finding the volume of a function revolved around an axis, but you square it instead.
What is the volume of f(x) with square cross sections?
400
The only author with a book in every Dewey Decimal category.
Who is Isaac Asimov?
500
The only calculus a business-man needs, some might even go as far to say it's pretty "pert-y."
What is business application?
500
His last theorem remained unproved for hundreds of years after his death.
Who is Pierre de Fermat?
500
What is the integral of 1/(sqrt(1-(x^2)))?
What is arcsin(x) +C?
500
The only method of approximation that we learned that is not on the AB Calculus AP test.
What is Simpson's Rule?
500
The average airspeed velocity of an unladen European swallow.
What is 10 meters per second?