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 = 0 representing 7:00am. 0 13 1 67 2 92 3 108 82 5 52 15 75 8 9 10 11 100 110 86 34 12 c) Use a graphing calculator to write a sinusoidal model that gives C as a function of t. 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.
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 = 0 representing 7:00am. 0 13 1 67 2 92 3 108 82 5 52 15 75 8 9 10 11 100 110 86 34 12 c) Use a graphing calculator to write a sinusoidal model that gives C as a function of t. 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.
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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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 = 0 representing 7:00am.
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100 110 86 34
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.
c) Use a graphing calculator to write a sinusoidal model that gives C as a function of t.
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.
12
12
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