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Use the graphs of $ x = f(t) $ and $ y = g(t) $ to sketch the parametric curve $ x = f(t) $, $ y = g(t) $. Indicate with arrows the direction in which the cuve is traced as $ t $ increases.

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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

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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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the problem is use that grafts off our exit goto ft. And why go to GT two sketches a Parametric curve actually Goto after Why Go to G indicated ways. Arrow's direction in Back to the curve is trist as Team Prizzi's first to Nestle Cat is a graph from the graph. We have access is equal to negative, absolutely off key. Why? Why? Why is about he scored so behalf? Why it's the Court x month. One square Your axe is between serial on what Now Let's catch the graph from zero to one zero one When he is they called too Next one we have acceded to zero Why could want this point and I won t go to zero acsi goto one Why put zero year to this point? So first particle goes from this point to this point and then twenty it is equal to one actually go to zero like one when she worries from zero to one, the party goes from this point back to this point

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