Consider a rectangle with the following property. Perimeter: 112 meters Let w represent the width of the rectangle and let A represent the area of the rectangle. Write an equation for A in terms of w. A(w) Find A'(w) and A"(w). A'(w) A"(w) Find the length and width (in meters) of a rectangle that has the given perimeter and a maximum area. smaller value length meters larger value width meters

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question
100%
Consider a rectangle with the following property.
Perimeter: 112 meters
Let w represent the width of the rectangle and let A represent the area of the rectangle. Write an equation for A in terms of w.
A(w)
Find A'(w) and A"(w).
A'(w)
A"(w)
Find the length and width (in meters) of a rectangle that has the given perimeter and a maximum area.
smaller value
length
meters
larger value
width
meters
Transcribed Image Text:Consider a rectangle with the following property. Perimeter: 112 meters Let w represent the width of the rectangle and let A represent the area of the rectangle. Write an equation for A in terms of w. A(w) Find A'(w) and A"(w). A'(w) A"(w) Find the length and width (in meters) of a rectangle that has the given perimeter and a maximum area. smaller value length meters larger value width meters
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax