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

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If f'= 620 Hz, find the speed of the ambulance.
Use a graphing utility to graph the function.
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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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