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Find parametric equations for the parth of a particle that moves along the circle $ x^2 + (y - 1)^2 = 4 $ in the manner described.(a) Once around clockwise, starting at $ (2, 1) $.(b) Three times around counterclockwise, starting at $ (2, 1) $.(c) Halfway around counterclockwise, starting at $ (0, 3) $.

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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

David C.

April 9, 2019

Hi, I was wondering about your thought process in knowing that x=cos(t) and y=2sin(t)+1?

Baylor 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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$$ \begin{array}{l}{\text …

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Find parametric equations …

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$\begin{array}{l}{\text { …

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The problem is on the parametric equations for the past of a particle that moves along the circle X squared plus y moments. One scribe in secret was four and the minor Describe it or a twice around clockwise starting at to one. Oh aye, we cannot axe is a connective call sign He Why is a call to the selective two times cause Santy, why is it true? Truth? I nti a swan that he is between next to Hi No hi b three dances around and counter clockwise starting at to one. Become like actually go to To Kasai Inti why is they could to sign? He last one t It's between cereal too. Hi. Hot scene halfway around under clockwise starting at zero three. So we can like access to Kasai. Inti Why is he called to sign? He plus one and he is between Hi. Over too. Two three high. All right too

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