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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which $ t $ increases.

$ r(t) = \langle t , 2 - t , 2t \rangle $

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Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Missouri State University

Harvey Mudd College

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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Sketch the curve with the …

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the problem. This sketch, the curve based, even liked the equation. On the count of with a hero direction benched increases your heart. He is a cultural team tomb, honesty and truth capacity. We have actually, but t why it is they want you to minus T on D. C is equal to twenty. This is a parametric question of lying in three dimensional space. I see the directions worked her of this line? Yes. One next to one on two. And one point on this line is zero to ferro. Now let's get the graph of this line first point zero two zero, you know, truth zero here. And is it the reaction? Lecter is one next one too One next one two direction. Like Tio is this direction. So the line Where is this? A trick vision is just line reins. Accident is a duty. The duty says the direction in rage in crisis. It is this direction

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