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Match the parametric equations with the graphs (labeled I-VI). Give reasons for your choices.

$ x = \cos t $ , $ y = \sin t $ , $ z = \cos 2t $

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Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Johns Hopkins University

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

03:04

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x. The input of a function is called the argument and the output is called the value. The set of all permitted inputs is called the domain of the function. Similarly, the set of all permissible outputs is called the codomain. The most common symbols used to represent functions in mathematics are f and g. The set of all possible values of a function is called the image of the function, while the set of all functions from a set "A" to a set "B" is called the set of "B"-valued functions or the function space "B"["A"].

08:32

In mathematics, vector calculus is an important part of differential geometry, together with differential topology and differential geometry. It is also a tool used in many parts of physics. It is a collection of techniques to describe and study the properties of vector fields. It is a broad and deep subject that involves many different mathematical techniques.

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Match the parametric equat…

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Graphs of Parametric Equat…

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The problem is much. The parametric equations with graphs give reasons for your choices. Axe. Is that going to cost nineteen? Why sick or to a society? See is they could tow sign Tootie. So we have X Square plus y square. Is he control one? It's a protection. It's a plane, Um is equal to zero X, like plain is a circle. And then we also have, say, its founding. I nicked one on one. Say it's from neck to want to whine Now let's no cat the grafts. So only number one satisfied There's two conditions. Sounds. A graph is number one.

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