Write an area function for

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...
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I need help with A through D
9 Schoology
A Desmos | Graphing Calculator X
A Ims.beth.k12.pa.us/attachment/1741052073/docviewer
e| Schoology C Students MYDE | D.
esD eSchoolData A Classes Applied Educationa.
E Google Docs
YouTube
Spotify 6 CengageBrain - My.
220% O
abl 上
If f'= 620 Hz, find the speed of the ambulance.
Use a graphing utility to graph the function.
b.
с.
10. Horticulture Ameriflora was an international flower exhibit held in Columbus, Ohio in
1992. A rectangular region of the exhibit was fenced off to landscape for the fall season.
The area of the region was 125,000 square feet. A type of fencing costing $20 per foot
was used for the length along the back and front of the region because these were high-
traffic areas. A less expensive fence costing $10 per foot was used for the width for the
other sides.
Write an area function for the rectangle (remember the A is the constant 125,000)
b. Rewrite your area function from part a solving for the width, w, in terms of I
c. Write a cost function for the cost of the fence's perimeter remember P= 21+2w
d. Substitute your width function in terms of I from part (b) into the width variable of
your function of part (c) to get a cost function based on the length of the rectangle.
Use a graphing device to find the length of the region that minimized the cost of the
fence. Then refer to your equation in part a to determine the width as well. (hint use
a window of Xmin =0 Xmax= 1000, Ymin=0 , and Ymax=100000 and 2nd Trace 3)
a.
e.
Transcribed Image Text:9 Schoology A Desmos | Graphing Calculator X A Ims.beth.k12.pa.us/attachment/1741052073/docviewer e| Schoology C Students MYDE | D. esD eSchoolData A Classes Applied Educationa. E Google Docs YouTube Spotify 6 CengageBrain - My. 220% O abl 上 If f'= 620 Hz, find the speed of the ambulance. Use a graphing utility to graph the function. b. с. 10. Horticulture Ameriflora was an international flower exhibit held in Columbus, Ohio in 1992. A rectangular region of the exhibit was fenced off to landscape for the fall season. The area of the region was 125,000 square feet. A type of fencing costing $20 per foot was used for the length along the back and front of the region because these were high- traffic areas. A less expensive fence costing $10 per foot was used for the width for the other sides. Write an area function for the rectangle (remember the A is the constant 125,000) b. Rewrite your area function from part a solving for the width, w, in terms of I c. Write a cost function for the cost of the fence's perimeter remember P= 21+2w d. Substitute your width function in terms of I from part (b) into the width variable of your function of part (c) to get a cost function based on the length of the rectangle. Use a graphing device to find the length of the region that minimized the cost of the fence. Then refer to your equation in part a to determine the width as well. (hint use a window of Xmin =0 Xmax= 1000, Ymin=0 , and Ymax=100000 and 2nd Trace 3) a. e.
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