Answer:
.
Step-by-step explanation:
An exponential function is typically in the form 
, where 
and 
(
) are constants to be found.
In this question:
means that 
.
means that 
.
Divide one of the two equations by the other to eliminate and solve for .
The number of the right-hand side of the second equation is larger than that of the first equation. Hence, divide the second equation with the first:
.
.
.
.
Substitute 
back into either equation (for example, the first equation) and solve for :
.
.
Substitute and into the other equation. That equation should also be satisfied.
Therefore, this function would be:
.
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Complete Question
A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:
a)F minimum
b) F maximum
c) Frequency resolution
Answer:
a) 
b) 
c) 
Step-by-step explanation:
From the question we are told that:
Time 
Frequency
Segments 
Generally the equation for Frequency Range is mathematically given by
Therefore
a)
b)
c)
Generally the equation for Frequency Resolution is mathematically given by
Where
N=The Total dat points
N=Sampling Frequency *Time
Therefore
