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Describe the motion of a particle with position $ (x, y) $ as $ t $ varies in a given interval.
$ x = 2 + \sin t $, $ \; y = 1 + 3\cos t $, $ \; \pi/2 \leqslant t \leqslant 2\pi $
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Calculus 2 / BC
Chapter 10
Parametric Equations and Polar Coordinates
Section 1
Curves Defined by Parametric Equations
Parametric Equations
Polar Coordinates
Missouri State University
University of Nottingham
Boston College
Lectures
16:57
In mathematics, a graph is a representation of a set of objects where some pairs of the objects are in some sense "related". The objects correspond to mathematical abstractions called "vertices" or "nodes", and the relations between them are represented by mathematical abstractions called "edges" or "arcs". The basic notion of a graph was developed by the 17th-century French mathematician Pierre de Fermat, and the term "graph" was coined by the 19th-century mathematician James Joseph Sylvester. The more general mathematical concept of a graph "in which any kind of relation between elements of the set is expressed as an edge, is called a network" (Kolmogorov, "1956, p. 111"). In other words, an undirected graph is a graph in which the edges have no direction associated with them. The most familiar examples of graphs are the graphs of equations. In general, the vertices of a graph can represent concepts and the edges can represent real-valued functions on the concepts, so one can speak of the graph as a function's graph or of the edge as a function's edge.
01:59
Polar coordinates are a two-dimensional coordinate system that specifies a point in terms of distance from a reference direction (the pole) and angle from a reference direction (the polar axis).
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Describe the motion of a p…
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The problem is describes a motion that a party always position acts. Why, as to worries in even interval So first you were half X minus two square bus line once wass Sawyer over nine. It's cultural one. This is on the lips centered at this point two one so we can scarce the graph as follows. Center to one your point and what he is he going to high over too half Act two. Three. Why is before too one? I don't want Teo to pie. We have actually got to sue. Why are connected to Monty is equal to two high. Actually go to two. Why go to war? So we're half twenty Worries from pi over to to to high the particle goes from the point three one year in this direction. It was a point shoot for
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