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:
A. B and C are functions
Step-by-step explanation:
Given
See attachment for mapping diagrams
Required
Which represent function
For a mapping to be considered a function, each element of the input set must only point to 1 element of the output set.
Base on the above analysis, we have:
<u>Map A</u>
1 points to 6; 2 to 7; 3 to 8; and 4 to 9
<em>This is a function</em>
<u>Map B</u>
2 points to 0; 4 to 0; 6 to 0; and 8 to 0
<em>This is a function</em>
<u></u>
<u>Map C</u>
1 points to 8; 3 to 8; 5 to 9; and 7 to 9
<em>This is a function</em>
<u>Map D</u>
0 points to 2 and 5; 3 points 7 and 9
<em>This is not a function</em>
