Answer:
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Answer:
The relative maximum value is 
Step-by-step explanation:
The given function is

We differentiate to obtain;

At turning points 


We apply the second derivative test to obtain:

Since the second derivative is negative, there is a relative maximum at x=0.
We substitute x=0 into the original function to obtain the relative maximum value.

Step-by-step explanation:
for 1 book=480
for 4 books= 480×4
=1920
Answer:
Your favorite radio station in a given year plays 105120 songs.
Step-by-step explanation:
Lets make some assumptions:
1. A radio program in average last 50 minutes, because 10 of them are for commercials.
2. a song average length is about 3 minutes
3. the speakers use 10 to 20 minutes of the radio program.
4. So, in an hour just 30 minutes are effectively used to play songs on a radio station. That results in 10 per hour at least, and 13.3 at most. So lets settle an average of 12 songs per hour.
5. The radio station plays songs 24 hours a day unstoppable.
Now:
A day has 24 hours, a week seven days and therefor (24*7= 168 hours) 168 hours in a week.
A year has 52.1429 weeks, so it has 8760 Hours (52.17429weeks*168hours=8760 hours )
So:
8760 hours in a year
12 songs per hour
