3. A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimensions of the field with maximum area that can be enclosed using 1000 ft of fence.

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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solve Question 3(b3) and Question 4(b4)

3. A rectangular field is to be bounded by a fence on three sides and by a straight
stream on the fourth side. Find the dimensions of the field with maximum
area that can be enclosed using 1000 ft of fence.
Transcribed Image Text:3. A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimensions of the field with maximum area that can be enclosed using 1000 ft of fence.
4. A freshly inoculated bacterial culture of Streptococcus contains 100 cells.
When the culture is checked 60 minutes later, it is determined that there
are 450 cells present. Assuming exponential growth, determine the number of
cells present at any time t (measured in minutes) and the find the doubling
time.
Transcribed Image Text:4. A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is determined that there are 450 cells present. Assuming exponential growth, determine the number of cells present at any time t (measured in minutes) and the find the doubling time.
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