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 number of tree species $ S $ in a given area …
01:28

Question

Answered step-by-step

Problem 51 Medium Difficulty

Biologists have proposed a cubic polynomial to model the length $ L $ of Alaskan rockfish at age $ A: $
$ L = 0.0155A^3 - 0.372A^2 + 3.95A + 1.21 $
where $ L $ is measured in inches and $ A $ in years. Calculate
$ \frac{dL}{dA}\mid A=12 $

Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Clarissa Noh
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Clarissa Noh

Numerade Educator

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

More Answers

00:57

Frank Lin

Related Courses

Calculus 1 / AB
Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Related Topics

Derivatives

Differentiation

Discussion

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

Oregon State University

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40
Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
Video Thumbnail

44:57
Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
Join Course
Recommended Videos

04:00

Biologists have proposed a…

02:43

Biologists have proposed a…

02:45

Biologists have proposed a…

02:56

Biologists have proposed a…

01:10

Fish growth Biologists hav…

02:16

The length (in centimeters…

02:16

Halibut growth The length …

00:48

Length of a fish For a fis…

03:39

Fish length Assume the len…

01:51

The volume of water in a r…

02:41

Fish length Assume the len…

06:38

A 1999 study by Starkey an…

Watch More Solved Questions in Chapter 3

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
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81
Problem 82
Problem 83
Problem 84
Problem 85
Problem 86

Video Transcript

he is. Claire's the one you're in here. So we have a s the variable, and we have a deal over t A. Since Alice people to hell of a D over D A. And we have our equation would just 0.155 You're cute. Minus 0.372 C square plus 3.95 a less 1.21 Is this equal? 2.4658 square minus 0.744 a plus 3.95 We're gonna plug in a is equal to 12 and we get 1.7 on the interest per year. And the derivative is interpreted as our instantaneous rate of growth off the fish. Uh, aged 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
179
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
75
Hosted by: Alonso M
See More

Related Topics

Derivatives

Differentiation
Top Calculus 1 / AB Educators
Grace He

Numerade Educator

Heather Zimmers

Oregon State University

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40
Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
Video Thumbnail

44:57
Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
Join Course
Recommended Videos

04:00

Biologists have proposed a cubic polynomial to model the length $ L $ of Alaska…

02:43

Biologists have proposed a cubic polynomial to model the length $L$ of Alaskan…

02:45

Biologists have proposed a cubic polynomial to model the length $L$ of Alaskan …

02:56

Biologists have proposed a cubic polynomial to model the length $L$ of Alaskan …

01:10

Fish growth Biologists have proposed a cubic polynomial to model the length $L$…

02:16

The length (in centimeters) of many common commercial fish $t$ years old can be…

02:16

Halibut growth The length (in centimeters) of many common commercial fish $t$ y…

00:48

Length of a fish For a fish that starts life with a length of 1 $\mathrm{cm}$ a…

03:39

Fish length Assume the length $L$ (in centimeters) of a particular species of f…

01:51

The volume of water in a rectangular fish tank can be modelled by the polynomia…

02:41

Fish length Assume the length $L$ (in $\mathrm{cm}$ ) of a particular species o…

06:38

A 1999 study by Starkey and Scarnecchia developed the following model for the a…
Additional Mathematics Questions

00:32

Lucy buys a car because it is that specific shade of red that she loves. Thi…

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