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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 = \frac{1}{(1 + t^2)} $

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$V I$

Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

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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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the problem, ese. Match the parametric equations with the laughs. Your reasons for your choices. Mexico to Kasai Inching. Why's it called society andan? See you seek with one over one past his squire. So we have square past y squared. It's a good one. The thing is, Richards and cereal and more of what So from a square plus y square. One way? No. How's the points on this crew of Ah, almost sunder? I square past my square. Here's why. On sea is founded by zero and one. So let's see. Look at the graph here. So only one, three, four and six the points on the roof off. Oh, it's a sign. Do I swear? That's why squarely could what? But only six say is Bonnie by zero and one. So Graff is six.

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