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Use a computer to graph the curve with the given vector equation. Make sure you choose a parameter domain and viewpoints that reveal the true nature of the curve.

$ r(t) = \langle te^t, e^{-t}, t \rangle $

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Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Campbell University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

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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Use a computer to graph th…

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$31-35$ Use a computer to …

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$33-37$ Use a computer to …

The problem is us, a computer to graph the curve where it's a given later equation, make sure you choose a parameter domain and the whale points that reveal the true nature of the curve or t is equal to t times e to t into negative t and T now, by using some graphic device, we can draw the graph of this curve as follows here. This is the curve of the given parametric equation. Here i chose t is from negative 1 to 1 poi.

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