The UCF vs. Memphis AAC conference championship game on Dec. 2, 2017, was an event to remember. In double overtime the UCF Knights defeated Memphis 62-55. The total number of fans entering Bright House Networks Stadium is a differentiable function K(t). The number of fans entering the stadium at Gate 18 on the UCF Knights home side are shown for the time interval 0
The UCF vs. Memphis AAC conference championship game on Dec. 2, 2017, was an event to remember. In double overtime the UCF Knights defeated Memphis 62-55. The total number of fans entering Bright House Networks Stadium is a differentiable function K(t). The number of fans entering the stadium at Gate 18 on the UCF Knights home side are shown for the time interval 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The UCF vs. Memphis AAC conference championship game on
Dec. 2, 2017, was an event to remember. In double overtime
the UCF Knights defeated Memphis 62-55. The total number
of fans entering Bright House Networks Stadium is a
differentiable function K(t). The number of fans entering the
stadium at Gate 18 on the UCF Knights home side are shown
for the time interval 0 <t < 2, where t = 0 corresponds to
11: 00 am prior to the noon time game kickoff.
NIOHT
Photo Courtesy: Jean Adams
UCF Knights side (Gate 18):
t (hours)
0.5
1.5
K(t) (fans)
3450
4435
4890
3281
No record
The number of fans that entered the stadium on the visitor side Gate 14 during the same time interval is
shown below. This rate is also a differentiable function M (t), and the times correspond to the 11:00 am
entry.
Memphis Tigers side (Gate 14):
t (hours)
0.5
1.5
M(t) (fans)
3280
3176
3475
3150
2472
A. Approximate K'(0.75). Show the computation that leads to your answer. Explain the meaning of your
answer in context to the problem, use correct units of measure.
B. Approximate M'(1.25). Show the computation that leads to your answer. Explain the meaning of your
answer in context to the problem, use correct units of measure.
C. The recorded number of fans entering the stadium through Gate 18 at 1:00 pm was lost. The ticket office
assumed that the average rate of fans entering through Gate 18 between 11:00 am and 1:00 pm is the
same as the average rate of fans entering through Gate 14 between 12:00 pm and 1:00 pm. Find the
approximate number of fans that entered the stadium through Gate 18 at 1:00 pm. Show the
computation that leads to your answer.
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