A rectangle is bounded by the x- and y-axes and the graph of y = (6 - x)/2 (see figure). What length (x) and width (y) should the rectangle have so that its area is a maximum? x3= y%3D 2 (x, y) 2 3 4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
A rectangle is bounded by the x- and y-axes and the graph of y = (6 – x)/2 (see figure). What length (x) and width (y) should the rectangle have so that its area is a maximum?
X =
y =
4
6-x
y =
2
2
(х, у)
1
2.
3
4
6.
Transcribed Image Text:A rectangle is bounded by the x- and y-axes and the graph of y = (6 – x)/2 (see figure). What length (x) and width (y) should the rectangle have so that its area is a maximum? X = y = 4 6-x y = 2 2 (х, у) 1 2. 3 4 6.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning