10. Forming a Pen You want to form a rectangular pen of area 80 square feet. (See Figure 5.87.) One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the length, in feet, of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is 80/w, so the total amount F = F(w), in feet, of fence required is the rational function 80 F = 2w + a. Make a graph of F versus w. b. Explain in practical terms the behavior of the graph near the pole at w = 0.
10. Forming a Pen You want to form a rectangular pen of area 80 square feet. (See Figure 5.87.) One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the length, in feet, of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is 80/w, so the total amount F = F(w), in feet, of fence required is the rational function 80 F = 2w + a. Make a graph of F versus w. b. Explain in practical terms the behavior of the graph near the pole at w = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
Related questions
Question
Transcribed Image Text:10. Forming a Pen You want to form a rectangular pen
of area 80 square feet. (See Figure 5.87.) One side of
the pen is to be formed by an existing building and
the other three sides by a fence. If w is the length,
in feet, of the sides of the rectangle perpendicular to
the building, then the length of the side parallel to
the building is 80/w, so the total amount F = F(w),
in feet, of fence required is the rational function
80
F = 2w +
a. Make a graph of F versus w.
b. Explain in practical terms the behavior of the
graph near the pole at w = 0.
Transcribed Image Text:c. Determine the dimensions of the rectangle that
requires a minimum amount of fence.
W
80
W
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell