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Calculus 4E Lsn 3

Calculus 4E Lsn 3 The Paradox of Speed

QuestionAnswer
The 1600s saw the culmination of the Scientific Revolution with the birth of modern science and the invention/discovery of calculus.
a piece of a line 2 possible answers: 1) a line segment - or 2) a point
Mathematical lines are those ideal, theoretical lines with no _____________ at all. breadth
A time interval on a time line relates to a _________ _________________ on a mathematical line. line segment
An instant of time is analogous to a mathematical ____________. point
The Greek symbol delta (Δ) means "change in."
The delta notation highlights what ____________________ is all about. calculus
Calculus the mathematics of change
d = Δx = the distance traveled
t = Δt = the time it takes to travel distance d
The main overall problem that Western science and philosophy are trying to tackle is the problem of __________________. change
v= d/t
_________________ speed is the speed you are traveling over an interval of time. Average
_________________ speed is how fast you are going at any given moment or instant. Instantaneous
An instant of time takes up _____ ____________ on a timeline, whereas an interval of time DOES take up space on a timeline. NO space
As a formula, an instant of time is quantified as Δt = 0.
As a formula, an interval of time is quantified as Δt __ 0. >
Δx means "change in location"
The paradox of speed is that instantaneous speed does not seem to make any sense.
Created by: MrsHough
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