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Find a vector equation and parametric equations f…

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Problem 16 Easy Difficulty

Draw the projections of the curve on the three coordinate planes. Use these projections to help sketch the curve.

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


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Calculus 3

Calculus: Early Transcendentals

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Related Topics

Vector Functions

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April 26, 2022

Let C be the curve of intersection of the parabolic cylinder x^2=2y and the surface 3z=xy

Top Calculus 3 Educators
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Video Thumbnail

03:04

Vector Valued Functions - Intro

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"].

Video Thumbnail

08:32

Vector Valued Functions and Curves - Overview

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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Watch More Solved Questions in Chapter 13

Problem 1
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Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54

Video Transcript

the problem This Draw the projections out the curve on the three coordinate planes Used this projections to help sketch the groove Our tears they teaching kids choir So we have Oh, what facts were plain half Why ex Oh, except playing half thie fortwo excoriating. Why's a playing have cultural? Why scored now First recon job projections. Why in contracts this line and they go to exploiter is fuck this on DH. This is why Max and this is it's equal to x squared are actually playing. And, uh, my plane, they could y square. So it feels like this. Now we can judge the graph off Artie as follows First to redraw the prom plain. Why goto axe the grafts off? Artie, look. Entous on supplying Why could drawbacks?

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Related Topics

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Video Thumbnail

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08:32

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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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