Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Find three different surfaces that contain the cu…

01:10

Question

Answered step-by-step

Problem 29 Easy Difficulty

Find three different surfaces that contain the curve
$ r(t) = 2t i + e^t j + e^{2t} k $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Aparna Shakti
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Aparna Shakti

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

More Answers

01:01

WZ

Wen Zheng

01:14

Carson Merrill

Related Courses

Calculus 3

Calculus: Early Transcendentals

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Related Topics

Vector Functions

Discussion

You must be signed in to discuss.
Top Calculus 3 Educators
Lily An

Johns Hopkins University

Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Joseph Lentino

Boston College

Calculus 3 Courses

Lectures

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.

Join Course
Recommended Videos

0:00

Find three different surfa…

0:00

Find three different surfa…

01:10

Find three different surfa…

01:32

Find three different surfa…

01:10

Find three different surfa…

01:26

Identify the surface with …

02:25

Identify the surface with …

02:11

Identify the surface with …

Watch More Solved Questions in Chapter 13

Problem 1
Problem 2
Problem 3
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

in this problem, It is us that find three different surfaces that contained the cove. R. T equals two 28. Right? Let's eat the poverty J close it to the power to T keith. Yeah. Yeah. Yes. So this is a vector function, right? So vector function is given to us and we need to find the three different surfaces. So how can we do? So let's see. So the objective is to find the three surface. Right? And the parametric equation will be bored. The parametric, okay, equations from the given vector function, right? Is what? This is. X is equal to two T. Yes. Because this isn't the palm X. I plus Y. J plus Z. K. Right. Can we write in this way? Yes. So X is equal to two. Tv assumed this is 40 and this is why. And this is that right? So why equals through into the poverty coefficient of J and coefficient of gay will be value of that. That is into the public toti. So now we've been sold for the equations were unknown. Very even right. So solving equation what unknown variable? So X will be duty. This implies that He is nothing but this is X x two. So we will put this value in by NZ can we put in the violins? Yes, value of T in terms of X. So no By becomes what by becomes into the Power X x two. Hmm. That becomes mm E to the power two. And to expose to that is into the power eggs only. Right? So what can be done now? So for this we can say we can square this value by value. We can inquire it. So what it will come. Mhm squaring, you know, Yeah, boat. These things we get by square it was to into the power X. Because after squaring to two cuts off, that is into the power X. That is equal to that only because that is the value of said yes. So now we can stay here. Yeah. Therefore why is equal to each of the power expert to here? And that is equal to eat the power X. And also we can see that is equal to vice. But yes, this venue came from here after squaring d value by from here. Right? So this is very simple. We have taken the value of T. Uh and we have put the value in by NZ. And we have got this equation. So these are the three surfaces. Right? So we can see these are the three surfaces. Okay, Okay. So this is how we solve this problem. I hope your new strategic concept. Thanks for watching

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
128
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
62
Hosted by: Alonso M
See More

Related Topics

Vector Functions

Top Calculus 3 Educators
Lily An

Johns Hopkins University

Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Joseph Lentino

Boston College

Calculus 3 Courses

Lectures

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.

Join Course
Recommended Videos

0:00

Find three different surfaces that contain the curve $ r(t) = 2t i + e^t j + e…

0:00

Find three different surfaces that contain the curve $ r(t) = 2t i + e^t j + e…

01:10

Find three different surfaces that contain the curve $ r(t) = t^2 i + \ln tj +…

01:32

Find three different surfaces that contain the curve $\mathbf{r}(t)=2 t \mathb…

01:10

Find three different surfaces that contain the curve $\mathbf{r}(t)=t^{2} \mat…

01:26

Identify the surface with the given vector equation. $$\mathbf{r}(s, t)=\left\…

02:25

Identify the surface with the given vector equation. $$\mathbf{r}(s, t)=\left\…

02:11

Identify the surface with the given vector equation. $ \textbf{r}(u, v) = (u +…
Additional Mathematics Questions

00:52

Ruati deposite rs 32000 with q company at 12 1/2% per annum for 3 years comp…

01:56

The total mass of an empty box and cherries is 780g.The total mass of an ide…

04:43

How to find the parabola with maximum value 8 at x= -1, and passing through …

01:09

Vijay has 20 kgs of Jowar and 30 kg of wheat. all the grains have to be pack…

03:20

in a survey people were asked what types of movies they like.it was found th…

00:49

the difference between two complementary angles is 52, find both the angles<…

01:40

find the volume of cone with radius r/2 and height 2h

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started