At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days.
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Answer:
and
Step-by-step explanation:
To find the max points we need to take the derivative of the function and then find the critical values.
First we take the derivative:
Now we need to find when f'(x)=0 to find the critical values.
The critical values will be
for any integer n
between 0 and 2 pi, the critical values will be
We can determine if these are minimums or maximums by using the second derivative test.
So we need to take the second derivative;
We need to see if the second derivative is positive or negative to determine if it is a max or min.
Since the second derivative is negative at
and
we know both of those are the x-values of maximums.