4. The table shows the number C of cars in an office parking lot over the course of a work day. The time t is measured in hours, with t= 0 representing 7:00am.

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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ment/d/10Ed2ZH5adcTxuYXsoMjN_7UMjA0006M10knx643VEEs/edit
sponse
ols Extensions Help
t
Y
Times New... ▼
O
t
C
0
1
13.
Last edit was 4 hours ago
12
-
+ B I U A
1
67
4. The table shows the number C of cars in an office parking lot over the course of a work day. The
time t is measured in hours, with t= 0 representing 7:00am.
2
2
92
3
108
4
3
82
5
GD
52
6
4
15
7
EEE 13 -
75
8
5
100
9
10
6
110 86
11
= 12
34
c) Use a graphing calculator to write a sinusoidal model that gives C as a function of t.
12
12
a) You want to write a sinusoidal model for the data in the table without using a graphing
calculator. Is it more convenient to model the data with a sine or cosine function? Explain.
b) Write a sinusoidal model for the number C of cars as a function of the time t (in hours) without
using a graphing calculator. Identify and explain how you calculated your values for the
amplitude, period, horizontal shift, and vertical shift.
d) Using your model from part (c), at about what time(s) will there be 45 cars in the parking lot?
111°F Sunn
Transcribed Image Text:ment/d/10Ed2ZH5adcTxuYXsoMjN_7UMjA0006M10knx643VEEs/edit sponse ols Extensions Help t Y Times New... ▼ O t C 0 1 13. Last edit was 4 hours ago 12 - + B I U A 1 67 4. The table shows the number C of cars in an office parking lot over the course of a work day. The time t is measured in hours, with t= 0 representing 7:00am. 2 2 92 3 108 4 3 82 5 GD 52 6 4 15 7 EEE 13 - 75 8 5 100 9 10 6 110 86 11 = 12 34 c) Use a graphing calculator to write a sinusoidal model that gives C as a function of t. 12 12 a) You want to write a sinusoidal model for the data in the table without using a graphing calculator. Is it more convenient to model the data with a sine or cosine function? Explain. b) Write a sinusoidal model for the number C of cars as a function of the time t (in hours) without using a graphing calculator. Identify and explain how you calculated your values for the amplitude, period, horizontal shift, and vertical shift. d) Using your model from part (c), at about what time(s) will there be 45 cars in the parking lot? 111°F Sunn
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