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Answer:
5 amperes will produce the maximum power of 300 watts.
Step-by-step explanation:
The general form of a quadratic function presents the function in the form
The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.
We can define the vertex by doing the following:
- Identify a, b, and c
- Find, the x-coordinate of the vertex, by substituting a and b into
- Find, the y-coordinate of the vertex, by evaluating
We know that the power generated by an electrical circuit is modeled by
This function is a quadratic function.
To find the current that produce the maximum power you must
- Identify a and b
a = -12 and b = 120
- Find, the maximum current of the vertex, by substituting a and b into
- Find, the maximum-power, by evaluating
5 amperes will produce the maximum power of 300 watts.
We can check our work with the graph of the function and see that the maximum is (5, 300).
