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>
Answer:
<h3>The function for Bruce’s elevation isStep-by-step explanation:
We are given initial Bruce’s elevation = 1,505 feet.
Each successive hour, his average elevation change for the hike becomes 6 times the previous hourly elevation change.
We know, the exponential function , where a is the initial value, b is the growth factor and x is the exponent represents time in hours.
Therefore, initial value a=1505, growth factor b for exponential function is 6.
Plugging a=1505 and b=6 in , we get
Also note, if b>0, it would be an exponential growth function.
<h3>Therefore, the function for Bruce’s elevation is