Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
To find:
The current which will produce the maximum power.
Solution:
We have,
Differentiate with respect to x.
...(i)
To find the extreme point equate P'(x)=0.
Divide both sides by -30.
Differentiate (i) with respect to x.
(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
The number of whole loaves at each location = 5 loaves
Step-by-step explanation:
This problem is essentially testing your ability to use simple division within remainders, and the number of whole loaves is calculated as follows:
Numer of loaves of bread = 16
number of locations = 3
next, we will divide the number of loaves by the number of locations since Olivia placed an equal number of loaves in 3 different locations:
This means that there will be 5 whole loaves and 1 loaf that will be divided equally into the three places.
Therefore, the number of whole loaves at each location = 5 loaves
<em>but remember that there will be a remainder of 1 loaf.</em>