A rectangle is constructed under the graph of f(x) =4x with the right lower corner at ( 2, 0) and one corner y=f(x) on the graph of f(x) = 4x² (0sxs2). Represent the area A of the rectangle as a function of x: A(x)= Note: Use ^ to raise x to a power (like x^3 for x cubed). What value of x will maximize the area of the rectangle? (Use your calculator or a graphing application to determine this. DO NOT USE CALCULUS.) Maximum area when x= Note: Input the x value as a decimal number rounded to two decimal places (like 34.12 or 4.67)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
icon
Related questions
Question
A rectangle is constructed under the graph of
f(x) =4x? with the right lower corner at ( 2, 0) and one corner
y=f(x)
on the graph of f(x) =
4x? (0sxs2).
Represent the area A of the rectangle as a
function of x: A(x)=
Note: Use ^ to raise x to a power (like x^3 for x cubed).
What value of x will maximize the area of the rectangle? (Use your calculator or a graphing application to
determine this. DO NOT USE CALCULUS.)
Maximum area when x=
Note: Input the x value as a decimal number rounded
to two decimal places (like 34.12 or 4.67)
Transcribed Image Text:A rectangle is constructed under the graph of f(x) =4x? with the right lower corner at ( 2, 0) and one corner y=f(x) on the graph of f(x) = 4x? (0sxs2). Represent the area A of the rectangle as a function of x: A(x)= Note: Use ^ to raise x to a power (like x^3 for x cubed). What value of x will maximize the area of the rectangle? (Use your calculator or a graphing application to determine this. DO NOT USE CALCULUS.) Maximum area when x= Note: Input the x value as a decimal number rounded to two decimal places (like 34.12 or 4.67)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Definite Integral
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning