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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 \sin 3t \cos t, \frac{1}{4} t, \sin 3t \sin t \rangle $
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Calculus 3
Chapter 13
Vector Functions
Section 1
Vector Functions and Space Curves
Oregon State University
Harvey Mudd College
Baylor University
Boston College
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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the problem is use a computer to draft the curves with human factory in question. Mature your truth up Ranger. Don't mine. Onda will point that reviews it. Sure, nature that secure, I mean difficult to find twenty society Why? Or stamps to sign twenty times, Scientist For by using some graphing, the wise can graph the curve as follows. This is the curve of human parametric equations.
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