An outdoor concert venue is surrounded by a large rectangular fence. A security camera is mounted on a revolving base so that it can scan across the length of one section of this fence. At time t, in seconds, the camera is pointing at a position s(t) on the fence, measured in meters from one corner of the fence. camera s(t). The functions is given by the formula s(t) = 3 tan( corner of fence an (27 (t - 9)) + +10 on the interval 0 < t < 20 24 Part A: Sketch the graph of this function using a graphing calculator or app. Choose a viewing window so that you can see the important features of this graph on the interval 0 < t < 20. Label the axes of your graph with the quantities that they represent. Choose File No file chosen

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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Part B: A group of fans try to sneak into the concert by climbing over the fence between time t = 5
and time t 10. What parts of the fence should they stay away from in order to avoid being seen
by the security camera?
s(5) =
s(10) =
meters
Answer:
meters
Part C: During which 5-second interval is the camera scanning the largest portion of the fence? Make
sure you can justify your answer.
Transcribed Image Text:Part B: A group of fans try to sneak into the concert by climbing over the fence between time t = 5 and time t 10. What parts of the fence should they stay away from in order to avoid being seen by the security camera? s(5) = s(10) = meters Answer: meters Part C: During which 5-second interval is the camera scanning the largest portion of the fence? Make sure you can justify your answer.
An outdoor concert venue is surrounded by a large rectangular fence. A security camera is mounted
on a revolving base so that it can scan across the length of one section of this fence. At time t, in
seconds, the camera is pointing at a position s(t) on the fence, measured in meters from one
corner of the fence.
camera
The functions is given by the formula s(t)
s(t).
an ((- 9))
3 tan
corner of fence
+10 on the interval 0 < t < 20
Part A: Sketch the graph of this function using a graphing calculator or app. Choose a viewing
window so that you can see the important features of this graph on the interval 0 < t < 20. Label
the axes of your graph with the quantities that they represent.
Choose File No file chosen
Transcribed Image Text:An outdoor concert venue is surrounded by a large rectangular fence. A security camera is mounted on a revolving base so that it can scan across the length of one section of this fence. At time t, in seconds, the camera is pointing at a position s(t) on the fence, measured in meters from one corner of the fence. camera The functions is given by the formula s(t) s(t). an ((- 9)) 3 tan corner of fence +10 on the interval 0 < t < 20 Part A: Sketch the graph of this function using a graphing calculator or app. Choose a viewing window so that you can see the important features of this graph on the interval 0 < t < 20. Label the axes of your graph with the quantities that they represent. Choose File No file chosen
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