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(a) Sketch the curve by using the parametric equations to plot points. Indicat with an arrow the direction in which the curve is traced as $ t $ increases.(b) Eliminate the parameter to find a Cartesian equation of the curve.

$ x = t^2 $, $ \quad y = t^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

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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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(a) Sketch the curve by us…

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The problem is today scratch the curve by using the parametric equations to broth. Points indicate it was a mirage. Direction rages across its trist asked increases. I have a what he is too next to have access to. Or why is he going to connective it? But you got to meet you. Want Max and see to one. Why does he want zero taxes? Zero y zero. You want to see one like one? You could do accident. Or why is it then? Let's catch the curve. So first or inactive? Eight. Its point, Juan. Negative one. So you know, Cyril. Then one walk, warm it. That's a curve is like like this And Carol is direction in Vegeta curve is interest as increases. How to be eliminate is a parameter to find a Kardashian equation of the curve. Poppy. First of half, he is equal to Squadron X And we have Why is this photo this cube? So this is you go to act too three over too. This is condition. Question off the cliff

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