History of Calculus
The man in England that invented Calculus and Physics.
What is Isaac Newton?
If you get infinitely close to something from all directions, you have done this mathematical operation.
What is take a limit?
A rate that effects another rate is called this.
What is a related rate?
This mathematical operation undoes a derivative and allows you to take the area of odd shapes.
What is an integral?
An object that has width, breadth, and height has this dimensionality.
Double
These units are used to measure this.
What is three dimensional?
Double
What is mL, liters, cc, m^3, cm^3, ft^3, gallons, cups, teaspoons, and many others.
The first type of calculus discovered.
What is intergration, or finding the area of weird shapes using exhaustion method?
The limit of this image is this.
What is the left eye of the cat?
A speedometer in a car changes the car's position from second to second into a velocity. The mathematical operation the speedometer does is this.
What is a derivative?
Taking the area of shapes that you know how to take the area of inside an odd shape and doing the same outside the odd shape to estimate the upper and lower value for the area and then adding more smaller shapes to refine the estimate is called this.
What is exhaustion method?
This concepts acts like a stage that physical things happen on. It can be three dimensional, two dimensional or even muliple dimensional. Coordinate systems model it. As a short hand, scientists say most of the universe is made of it.
What is space?
This guy invented exhaustion method and came very close to inventing calculus approximately 2000 years before Isaac Newton.
What is Aristotle?
This sequence of number approches this number.
0.9, 0.99, 0.999, 0.9999. 0.99999.......
What is one?
Velocity is to position as this is to velocity.
What is acceleration?
This image shows a use of exhaustion method for finding the area of a circle without needing to use pi. This is this type of estimate of the area.
What is an under estimate?
Engineers and scientists use this to model space. This concept is made axis and a grid pattern.
What is a coordinate system?
This guy used analytic geometry and some four dimensional calculus to refine Isaac Newton's theory of gravity.
What is Albert Einstein?
Something that is infinitely small is called this.
What is an infinitesimal?
The units of these two things are m/s, km/hr, mi/hr, or anything that is a distance divided by a time.
Double
The differnce between these two things is this.
What is speed and velocity.
Double
Speed is just how fast or slow you are going. velocity the speed in a direction.
Yesterday I gave you $5, today I give you $2, Tomarrow I give you $4. If you intergrate over yesterday through tomarrow, you will have this much money.
What is $11?
A toy block would be easiest to model with this coordinate system.
What is a rectangular coordinates?
The guy in Germany that independently invented calculus at the same time Isaac Newton did.
What is Gottfried Wilhelm Leibniz?
Before an object can travel a given distance, it must travel half that distance. In order to travel half the distance, it must half that half distance and so on. Since this sequence goes on forever, it therefore appears that the distance cannot be traveled.
What is Zeno dichotomy paradox?
An object that has a changing acceleration is said to jolt. What are the units of jolt considering the units of acceleration a (m/s^2)
What are m/s^3?
You could find the volume of a donut doing this.
What is find the circular area of a cross section of the donut and the rotate that around the middle of the donut using the formal of volume of a cyclinder?
The earth is modeled with spherical coordinates. The name of the coordinate you use to find your place on earth.
Extra Credit: One of these is an azimuth, and the other is inclination, which is which, I can't give you enough points if you get this one ;-D
What is latitude and longitude?
Latititude is azimuth and longitude is inclination.