Answer:
see below
Step-by-step explanation:
A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.
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<em>Comment on discriminant</em>
discriminant > 0, two (2) x-intercepts (first 2 graphs)
discriminant < 0, no (0) x-intercepts (third graph)
we have the function
Part a
For t=7
substitute in the given function
For t=14
For t=21
For t=28
For t=35
Observation: The values of E varies from -1 to 1, including the zero
Part B
Remember that
The Period goes from one peak to the next
so
Period=2pi/B
B=pi/14
Period=(2pi)/(pi/14)=2pi*14/pi=28
<h2>the period is 28 days</h2>