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

The current in a wire is defined as the derivativ…

00:39

Question

Answered step-by-step

Problem 51 Easy Difficulty

If $ w'(t) $ is the rate of growth of a child in pounds per year, what does$ \displaystyle \int^{10}_5 w'(t) \,dt $ represent?


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Mutahar Mehkri
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Mutahar Mehkri

Numerade Educator

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

More Answers

00:35

Frank Lin

00:27

Amrita Bhasin

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
Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

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

00:57

If $w^{\prime}(\mathrm{t})…

00:47

$\begin{array}{l}{\text { …

01:30

If $w^{\prime}(t)$ is the …

00:27

Growth rate If $w^{\prime}…

01:55

If $w^{\prime}(t)$ is the …

02:13

If $w^{\prime}(t)$ is the …

01:08

If w (t) iS the rate of gr…

02:19

If $r^{\prime}(t)$ represe…

00:27

Rate of Growth Let $r^{\pr…

02:18

A honeybee population star…

02:21

The weight, $w,$ in kilogr…

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

all right, we are given the derivative of the function of W. T. To represent the rate of growth of the child in palace per year and were asked then to determine what this represents our first things. First, we know that the integral of a derivative we'll need you to the original function so that this would go away. We also have to take account are five in our 10 here. The way we do it is we take the top number for the integral and subtracted by the bottom number of the integral. So you say, Well, w ci 10 to 5 people to W 10. So what would WB when t is equal to 10, subtracted by W on t z Go too far, right? And that is the representation of this integral here. All right, well, I hope that clarifies the question. Thank you so much 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
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

Integrals

Integration

Top Calculus 1 / AB Educators
Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

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

00:57

If $w^{\prime}(\mathrm{t})$ is the rate of growth of a child in pounds per year…

00:47

$\begin{array}{l}{\text { If } w^{\prime}(t) \text { is the rate of growth of a…

01:30

If $w^{\prime}(t)$ is the rate of growth of a child in pounds per year, what d…

00:27

Growth rate If $w^{\prime}(t)$ is the rate of growth of a child in pounds per y…

01:55

If $w^{\prime}(t)$ is the rate of growth of a child in kilograms per year, what…

02:13

If $w^{\prime}(t)$ is the rate of growth of a child in pounds per year. what do…

01:08

If w (t) iS the rate of growth of a child In pounds per year What does [5 1 w (…

02:19

If $r^{\prime}(t)$ represents the rate of growth of a dog in pounds per year, w…

00:27

Rate of Growth Let $r^{\prime}(t)$ represent the rate of growth of a dog, in po…

02:18

A honeybee population starts with 100 bees and increases at a rate of $ n'(t) $…

02:21

The weight, $w,$ in kilograms, of a baby is a function $f(t)$ of her age, $t$, …
Additional Mathematics Questions

01:07

Consider the polynomial 3x3 2x + 7. 4) How many terms does this polynomial h…

04:21

6. The sides of a right triangle is in arithmetic progression whose common d…

02:30

Activity angles intercepting 1. Prove Mc Right that the central circles are …

01:35

D. Roots of Polynomial Equation Applying the Zero- Product Property) Directi…

01:55

15. SIGNS Yield signs notify (4y)" drivers to slow down and YIELD allo…

02:07

10i04y
Identify Angles with Terminology Jan 20,5.58.21PM
IfmZEHD = 689…

06:23

There are 60 households village. Some households Own nc some one car; and so…

02:18

Datc-
Fenou As of 2018 the world population is 7.616 billion people and …

01:29

Donald graphs the distance he walks over time: The graph passes through the …

01:06

Design An art class is making a mural for their school which has a triangle …

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