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

Suppose that a volcano is erupting and readings o…

08:30

Question

Answered step-by-step

Problem 65 Hard Difficulty

The velocity of a car was read from its speedometer at 10-second intervals and recorded in the table. Use the Midpoint Rule to estimate the distance traveled by the car.


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

00:48

Frank Lin

00:33

Amrita Bhasin

03:35

Jacquelyn Trost

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 4

Indefinite Integrals and the Net Change Theorem

Related Topics

Integrals

Integration

Discussion

You must be signed in to discuss.
Top Calculus 1 / AB Educators
Grace He
Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

Calculus 1 / AB Courses

Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

Video Thumbnail

40:35

Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

Join Course
Recommended Videos

0:00

The velocity of a car was …

01:05

The velocity of a car was …

03:44

The velocity of a car was …

04:23

The velocity of car was re…

09:31

Racing cars driven by Chri…

06:53

The velocity graph of an a…

00:56

The velocity graph of an a…

06:01

Racing cars driven by Chri…

07:11

Distance traveled The acco…

02:57

Distance traveled The acco…

Watch More Solved Questions in Chapter 5

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
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74

Video Transcript

in this problem, It has given that the velocity of a car was read from the from its speedometer at 10 seconds intervals and recorded in the table. Use the midpoint rule to estimate the distance travelled by cars. Right? So what can we do here? Here is a table table given to us, right, for time and velocity we know the midpoint rule has been ruled that lT equals two given by b minus C. Buy it. Alright, so, remember here we are using midpoint with with five sub angels. Remember this. So for that and equals to where and is taking us five intervals. Okay, Right, so it will be what? 100? That is 100 means 100. Uh t in 2nd, 100 seconds has given 200 minus zero. It is given in the table divided by five. So, this will give me what This will give me 20 seconds. Right? Yeah. Okay, So now we need to calculate and are right because the velocity is given in miles but are so we need to convert it into uh okay. So don't forget to do so. So that's why I'm telling density is divided by delta. Isn't seconds. Okay, Then this should be divided by 3600 seconds. But isn't it? Because in one are 60 minutes are there? And in one minute it is 60 seconds out there. Right. So for in all total in an r 3600 seconds out there. Right. So this will give me what this will begin. This will be giving 20 seconds divided by 3600 seconds. But so this would give me yeah, one by 1 80. Hi. Yeah, isn't it? Yes. So what will be the mid points? Right. So here, 20 seconds is taken as a right? Uh this is one sub interval. Okay, so the mid points are taken. So midpoint is this, remember this is mid point, this is second interval. Right? All right. So here it is 10 then this will be third. Okay, So this is how we So I will be telling. So, this is coming as a midpoint in this way with little room for their things. Summit points will be got made. Points is given by what? This will be given by mm Again, 30. Then we have 10 30 50 70 90. Right? So 10 30, 50 70 and nice to you. All right, So, distance when we got distance equals two. One by vanity. Odd. Okay, distance is nothing. But this is velocity into types. So, this will give me like this. So 34 10 10 has velocity 34 MPH. Right? and similarly for 30 it's 54 miles better for 50 seconds. It should be 51 MPH. Then it is 55. Similarly for 76 70 seconds, and for 90 seconds it's 49. Alright? So here it will be the unit will be miles. But so this is going to be cut and this is going to be cut As so we will be getting the value in miles. So we will be getting 20-43 divided by 180. Who else? So this is giving me one point today. Five miles. All right. All you can say distance is approximately equal to 1.4 miles. So this is how we solve this problem. I hope you understood the concept. Thank you for watching. Yeah.

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

Integrals

Integration

Top Calculus 1 / AB Educators
Grace He

Numerade Educator

Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

Calculus 1 / AB Courses

Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

Video Thumbnail

40:35

Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

Join Course
Recommended Videos

0:00

The velocity of a car was read from its speedometer at 10-second intervals and …

01:05

The velocity of a car was read from its speedometer at 10-second intervals and …

03:44

The velocity of a car was read from its speedometer at 10 -second intervals and…

04:23

The velocity of car was read from its speedometer at 10-second intervals and re…

09:31

Racing cars driven by Chris and Kelly are side by side at the start of a race. …

06:53

The velocity graph of an accelerating car is shown. (a) Use the Midpoint Rul…

00:56

The velocity graph of an accelerating car is shown. (a) Use the Midpoint rule t…

06:01

Racing cars driven by Chris and Kelly are side by side at the start of a race.…

07:11

Distance traveled The accompanying table shows time-to speed data for a sports …

02:57

Distance traveled The accompanying table shows time-to-speed data for a sports …
Additional Mathematics Questions

03:30

'i really need help answering this
8 Which of the following is the c…

02:27

'In Exercise 9-12, write an expression for the nth term of the given se…

01:56

'Illustrative Example 2. Use Venn diagram to represent set and set oper…

04:50

'Second Summative Test in Mathematics VI Directions: Find the quotient …

01:31

'Supply the missing numerator or denominator to make the two rational e…

05:26

"WHAT I CAN DO Write the coordinates of each point. Identify the quadra…

03:46

'In the game, all animal exhibits must be at least 100 yards from an en…

03:46

'In the game, all animal exhibits must be at least 100 yards from an en…

01:36

'GIVE THE CORRECT ANSWERCORRECT ANSWER ONLYCORRECT ANSWER ONLYNOT NONSE…

06:03

'Learning Task 4: Write the equation and solve in your notebook.
Lea…

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