The City Council proposed to utilize a government-owned land with an area of 15,000 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following: the rate at which the total average number of COVID cases is increasing at and given that if 20 tents are built, the average number of COVID cases per tent will be 5 cases while the average number of cases will increase by 2 per tent for each additional tent on the same area due to overcrowding.
The City Council proposed to utilize a government-owned land with an area of 15,000 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following: the rate at which the total average number of COVID cases is increasing at and given that if 20 tents are built, the average number of COVID cases per tent will be 5 cases while the average number of cases will increase by 2 per tent for each additional tent on the same area due to overcrowding.
Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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answer the question with detailed solution and clear use of illustration and representation of variable:
The City Council proposed to utilize a government-owned land with an area of 15,000 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following:
- the rate at which the total average number of COVID cases is increasing at and given that if 20 tents are built, the average number of COVID cases per tent will be 5 cases while the average number of cases will increase by 2 per tent for each additional tent on the same area due to overcrowding.
- What will happen to dy/dt when the rate at which the number of tens is increasing becomes 2 tents per day, 3 tents per day, 4 tents per day, or more? Discuss the implication of the change of rates. Support your answer analytically.

Transcribed Image Text:The City Council proposed to utilize a government-owned land with an area of 15,000 square meters. One-third of the area
will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city
engineer, you were tasked to determine the following:
2. the rate at which the total average number of COVID cases is increasing at x = 10 tents and
1 tent per day, given
dt
that if 20 tents are built, the average number of COVID cases per tent will be 5 cases while the average number of cases
will increase by 2 per tent for each additional tent on the same area due to overcrowding.

Transcribed Image Text:2.I. What will happen to
when the rate at which the number of tents is increasing becomes 2 tents per day,
dt
3 tents per day, 4 tents per day, or more? Discuss the implications of the change of rates.
Support your answer analytically.
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