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

Graph the function by hand, not by plotting point…

01:27

Question

Answered step-by-step

Problem 13 Medium Difficulty

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions given in Section 1.2, and then applying the appropriate transformations.

$ y = 2 \cos 3x $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Heather Zimmers
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Heather Zimmers

Numerade Educator

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

More Answers

02:24

Jeffrey Payo

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 3

New Functions from Old Functions

Related Topics

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Discussion

You must be signed in to discuss.
Top Calculus 3 Educators
Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 3 Courses

Lectures

Video Thumbnail

04:31

Multivariate Functions - Intro

A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

Video Thumbnail

12:15

Partial Derivatives - Overview

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

Join Course
Recommended Videos

05:56

Graph the function by hand…

02:37

Graph the function by hand…

0:00

Graph the function by hand…

01:00

Graph the function by hand…

0:00

Graph the function by hand…

01:23

Graph the function by hand…

02:02

Graph the function by hand…

0:00

Graph the function by hand…

04:42

Graph the function by hand…

01:17

Graph the function by hand…

00:39

Graph the function by hand…

03:09

Graph the function by hand…

0:00

Graph the function by hand…

00:47

Graph the function by hand…

0:00

Graph the function by hand…

0:00

Graph the function by hand…

01:59

Graph the function by hand…

Watch More Solved Questions in Chapter 1

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
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66

Video Transcript

our goal list. A graph y equals to co sign of three x So let's start by thinking about why equals co sign of X to go from y equals co sign of X to y equals to co sign of three X. There's going to be a vertical stretch by a factor of two, so two times is tall and there's going to be a horizontal shrink by a factor of three, so three times narrower. Okay, let's take this step by step. So let's first start by thinking about how why equals co sign of X looks. It goes upto one down to negative one. It has a period of two pi. So the graph of Y equals co sign of X looks like this. Okay, now let's take it one transformation at a time. Now suppose we want to look at why equals to co sign of X. So we're taking into account the vertical stretch. So now, instead of going up to a height of one and down to a height of negative one, it goes up to a height of two and down to a height of negative, too. Still has a period of two pi. So that's going to look like this same thing on the other side. Okay, Now let's take into account the horizontal shrink, so that's going to make it narrower and change the period. Gonna squeeze that one and down here. So instead of having a width of two pi for one complete cycle, we have a width of 1/3 of that. So two pi over three gives us one complete cycle, and I'm just gonna put the two pi over three right here. You would have three complete cycles in a width of two pi instead of one complete cycle in a width of two pi still going up to two and down to negative two. Okay, so one complete cycle in a width of two pi over three is going to look like that. And if you want to show that you have three times as many in a width of two pi, you can just do a whole bunch of those and you could do that on the other side as well

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
67
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
44
Hosted by: Alonso M
See More

Related Topics

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Top Calculus 3 Educators
Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 3 Courses

Lectures

Video Thumbnail

04:31

Multivariate Functions - Intro

A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

Video Thumbnail

12:15

Partial Derivatives - Overview

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

Join Course
Recommended Videos

05:56

Graph the function by hand, not by plotting points, but by starting with the gr…

02:37

Graph the function by hand, not by plotting points, but by starting with the gr…

0:00

Graph the function by hand, not by plotting points, but by starting with the gr…

01:00

Graph the function by hand, not by plotting points, but by starting with the gr…

0:00

Graph the function by hand, not by plotting points, but by starting with the gr…

01:23

Graph the function by hand, not by plotting points, but by starting with the gr…

02:02

Graph the function by hand, not by plotting points, but by starting with the gr…

0:00

Graph the function by hand, not by plotting points, but by starting with the gr…

04:42

Graph the function by hand, not by plotting points, but by starting with the gr…

01:17

Graph the function by hand, not by plotting points, but by starting with the gr…

00:39

Graph the function by hand, not by plotting points, but by starting with the gr…

03:09

Graph the function by hand, not by plotting points, but by starting with the gr…

0:00

Graph the function by hand, not by plotting points, but by starting with the gr…

00:47

Graph the function by hand, not by plotting points, but by starting with the gr…

0:00

Graph the function by hand, not by plotting points, but by starting with the gr…

0:00

Graph the function by hand, not by plotting points, but by starting with the gr…

01:59

Graph the function by hand, not by plotting points, but by starting with the gr…
Additional Mathematics Questions

02:02

3-b. A stone is thrown vertically upward with a velocity of 40 m/s. What is …

03:03

In a Piggy Bank the number of 25 paise coins are five times the number of 50…

01:43

If two different dices rolled together calculate probablity of even number o…

01:21

A sample data set with a mean of 685 and a standard deviation of 39.8 has a …

02:30

A floral design on a floor is made up of 16 tiles which are triangular the s…

01:02

Find the dimensions of the cuboid which are in the ratio5:3:1 and its total …

02:57

Man has rope of length 660 mtr to fence a area , what is the max area he can…

02:15

When a certain number is multiplied by 7, the product consists entirely of f…

02:24

Find the mean of all prime numbers between 50 and 80

02:34

find zeros of polynomial P(x) = 6x square - 19 X + 15 verify the relationsh…

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