The first sixteen values of a function f(x) are given in the table below. f(x) 0.04 Maximum = Minimum = (Approximate) period of the function? T = (a) Read off the following values from the data: Vertical shift D = 0 Horizontal shift (for a cosine function) = 1 Frequency B = 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1.51 2.05 1.5 -0.04 -1.31 -2.07 -1.38 0.07 1.41 2.07 1.5 -0.02 (b) Use these answers from a) to compute the relevant parameters. Round your answer to two decimal places. Amplitude A = -1.38 -2.01 -1.34 Express value in terms of . (Should be an integer in this case.) (c) Use the answers from part b) to write a cosine function of the form A cos(B(x)) + D that models the data. Use the variables and symbols from the drop down menu. f(x)
The first sixteen values of a function f(x) are given in the table below. f(x) 0.04 Maximum = Minimum = (Approximate) period of the function? T = (a) Read off the following values from the data: Vertical shift D = 0 Horizontal shift (for a cosine function) = 1 Frequency B = 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1.51 2.05 1.5 -0.04 -1.31 -2.07 -1.38 0.07 1.41 2.07 1.5 -0.02 (b) Use these answers from a) to compute the relevant parameters. Round your answer to two decimal places. Amplitude A = -1.38 -2.01 -1.34 Express value in terms of . (Should be an integer in this case.) (c) Use the answers from part b) to write a cosine function of the form A cos(B(x)) + D that models the data. Use the variables and symbols from the drop down menu. f(x)
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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Transcribed Image Text:The first sixteen values of a function f(x) are given in the table below.
f(x)
0.04
Maximum =
Minimum =
(Approximate) period of the function? T =
(a) Read off the following values from the data:
Vertical shift D =
0
Horizontal shift (for a cosine function) =
1
Frequency B =
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1.51
2.05
1.5
-0.04
-1.31
-2.07
-1.38
0.07
1.41
2.07
1.5
-0.02
(b) Use these answers from a) to compute the relevant parameters. Round your answer to two decimal
places.
Amplitude A =
-1.38
-2.01
-1.34
Express value in terms of .
(Should be an integer in this case.)
(c) Use the answers from part b) to write a cosine function of the form A cos(B(x)) + D that
models the data. Use the variables and symbols from the drop down menu.
f(x)
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