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Use a graphing device and the result of Exercise 31(a) to draw the triangle with vertices $ A(1, 1) $, $ B(4, 2) $, and $ C(1, 5) $.

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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

Baylor University

University of Nottingham

Idaho State University

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.

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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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Use a graphing device and …

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Use a graphing calculator …

On a coordinate plane, dra…

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Three points that form the…

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the problem is use a graphing device and the reductive exercise thirty one, eh, John? The Triangle Ways With this. A c first, by using the result of exercise thirty one a half the Parametric equations off line fragment, maybe. Are you go to Juan, plus. Great. Why is he could have won last year. He is between cereal on the water. The Parametric equations off line segment I see are people too. One light is the court One last four times team. He is between zero and one Parametric. Questions of life segment, you see are actually co two for minus three key. Why is the hood too two plus Richie? And he is between zero and one. Then we can use graphing device to graph the angle here. This is a triangle.

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