Their average is <em>59/144 .</em>
A literal equation is an equation where variables represent known values.''
hope this helps :)
The period of y = 4 cos(8πx) is 2π/(8π) = 1/4, since
cos(x - 2π) = cos(x)
and if we replace x with 8πx, we get
cos(8πx - 2π) = cos(8πx)
and
8πx - 2π = 8π (x - 1/4)
For convenience sake, I will let 
First, we evaluate the function at the endpoints of the interval.
Then, we need to find the critical points.
We can start by taking the derivative using the power rule.
Setting this equal to 0,
Since 
, we can divide both sides by 
.
So, the absolute minimum is 
and the absolute minima are 
Jack's mom is purchasing thirteen tickets at a price of $11 each. This
equals a total of $143 in total spent. If Jack's mom has a credit card
limit of $500, then after purchasing $143 with the card, her available
amount to purchase additional things is $357. This impact on her
available credit is due to credit cards working on an available balance
system. When Jack's mom first received her credit card, a set balance or
total amount she could purchase with the card was set. In this example,
her total amount she could purchase with the card was $500. After her
purchase of the tickets for $143 was completed, she subtracted that
amount from her total available of $500 and that is why her available
amount to purchase is now $357.
