Learning Target INT3: I can explain the meaning of each part of the definition of the definite integral in terms of a graph, and interpret the definite integral in terms of areas, net change, and displacement. The graph below shows the rate at which patients were admitted to an intensive care unit measured in "people per day" during a one-week period (seven days). A negative rate indicates that more patients were leaving the ICU than were entering. Change in ICU beds (patients/day) -10 0 Time (days) 1. If the function whose graph is shown is called r(t), what are the units of the definite integral r(t) dt? State your answer and briefly explain. 2. At the end of the week shown here, were there more patients in the ICU than at the beginning of the week, were there fewer patients, or was the number of patients the same? State your answer clearly and give a clear, well-reasoned explanation. 3. If there were 30 patients in the ICU at the beginning of the week, how many are there at the end of the week? State your answer clearly and make your reasoning clear.
Learning Target INT3: I can explain the meaning of each part of the definition of the definite integral in terms of a graph, and interpret the definite integral in terms of areas, net change, and displacement. The graph below shows the rate at which patients were admitted to an intensive care unit measured in "people per day" during a one-week period (seven days). A negative rate indicates that more patients were leaving the ICU than were entering. Change in ICU beds (patients/day) -10 0 Time (days) 1. If the function whose graph is shown is called r(t), what are the units of the definite integral r(t) dt? State your answer and briefly explain. 2. At the end of the week shown here, were there more patients in the ICU than at the beginning of the week, were there fewer patients, or was the number of patients the same? State your answer clearly and give a clear, well-reasoned explanation. 3. If there were 30 patients in the ICU at the beginning of the week, how many are there at the end of the week? State your answer clearly and make your reasoning clear.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Learning Target INT3: I can explain the meaning of each part of the definition of the definite integral in terms of a
graph, and interpret the definite integral in terms of areas, net change, and displacement.
The graph below shows the rate at which patients were admitted to an intensive care unit measured in
"people per day" during a one-week period (seven days). A negative rate indicates that more patients were
leaving the ICU than were entering.
Change in ICU beds (patients/day)
10
0
Time (days)
1. If the function whose graph is shown is called r(t), what are the units of the definite integral
r(t) dt? State your answer and briefly explain.
2. At the end of the week shown here, were there more patients in the ICU than at the beginning of the
week, were there fewer patients, or was the number of patients the same? State your answer clearly
and give a clear, well-reasoned explanation.
3. If there were 30 patients in the ICU at the beginning of the week, how many are there at the end of
the week? State your answer clearly and make your reasoning clear.
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