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When a medical sample arrives at the laboratory, it is placed in a queue before being processed. The medical samples are processed at a constant rate of 150 samples per hour. Let the function p(t)=150 represent the rate at which medical samples are processed. Figure 5 shows the graphs of y = m(t) and y=p(t), where 0≤t≤9. The graphs of y = m(t) and y=p(t) intersect at t = 0.670 and t=3.36 (correct to three significant figures). 250+ 200 y 150 100- 50+ 2 3 4 p(1) Figure 5 m(1) 5 6 7 8 (c) At 8.00 am (t=0), the laboratory had 600 medical tests in the queue to be processed. (i) Explain why the number of items in the queue is decreasing until 0.670 hours after 8.00 am. (ii) During the time that the number of items in the queue was increasing, the queue increas by K medical samples. (1) Write an integral expression that could be used to calculate K. (2 marke)

When a medical sample arrives at the laboratory, it is placed in a queue before being processed. The medical samples are processed at a constant rate of 150 samples per hour. Let the function p(t)=150 represent the rate at which medical samples are processed. Figure 5 shows the graphs of y = m(t) and y=p(t), where 0≤t≤9. The graphs of y = m(t) and y=p(t) intersect at t = 0.670 and t=3.36 (correct to three significant figures). 250+ 200 y 150 100- 50+ 2 3 4 p(1) Figure 5 m(1) 5 6 7 8 (c) At 8.00 am (t=0), the laboratory had 600 medical tests in the queue to be processed. (i) Explain why the number of items in the queue is decreasing until 0.670 hours after 8.00 am. (ii) During the time that the number of items in the queue was increasing, the queue increas by K medical samples. (1) Write an integral expression that could be used to calculate K. (2 marke)

Advanced Engineering Mathematics
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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Answer question 2 and iii
When a medical sample arrives at the laboratory, it is placed in a queue before being processed. The medical samples are processed at a constant rate of 150 samples per hour. Let the function p(t)=150 represent the rate at which medical samples are processed. Figure 5 shows the graphs of y = m(t) and y=p(t), where 0≤1≤9. The graphs of y = m(t) and y = p(t) intersect at t = 0.670 and 1=3.36 (correct to three significant figures). 250- 200- 150 100 50 2 3 4 p(1) Figure 5 m(1) 5 6 7 8 9 (c) At 8.00 am (t=0), the laboratory had 600 medical tests in the queue to be processed. (i) Explain why the number of items in the queue is decreasing until 0.670 hours after 8.00 am. (ii) During the time that the number of items in the queue was increasing, the queue increas by K medical samples. (1) Write an integral expression that could be used to calculate K. (2 marke)
Transcribed Image Text:When a medical sample arrives at the laboratory, it is placed in a queue before being processed. The medical samples are processed at a constant rate of 150 samples per hour. Let the function p(t)=150 represent the rate at which medical samples are processed. Figure 5 shows the graphs of y = m(t) and y=p(t), where 0≤1≤9. The graphs of y = m(t) and y = p(t) intersect at t = 0.670 and 1=3.36 (correct to three significant figures). 250- 200- 150 100 50 2 3 4 p(1) Figure 5 m(1) 5 6 7 8 9 (c) At 8.00 am (t=0), the laboratory had 600 medical tests in the queue to be processed. (i) Explain why the number of items in the queue is decreasing until 0.670 hours after 8.00 am. (ii) During the time that the number of items in the queue was increasing, the queue increas by K medical samples. (1) Write an integral expression that could be used to calculate K. (2 marke)
(2) Hence, or otherwise, determine the value of K, correct to the nearest integer. (iii) Determine the number of medical samples in the queue at 5.00 pm.
Transcribed Image Text:(2) Hence, or otherwise, determine the value of K, correct to the nearest integer. (iii) Determine the number of medical samples in the queue at 5.00 pm.
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