Question

The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by P(c)=-15c(c-8)P(c)=−15c(c−8)P, left parenthesis, c, right parenthesis, equals, minus, 15, c, left parenthesis, c, minus, 8, right parenthesis What current will produce the maximum power?

Answer 1

Answer:

240

Step-by-step explanation:

The circuit's power is modeled by a quadratic function, whose graph is a parabola.

The maximum power is reached at the vertex.

So in order to find the maximum power, we need to find the vertex's y-coordinate.

We will start by finding the vertex's x-coordinate, and then plug that into P(c).

The vertex's x-coordinate is the average of the two zeros, so let's find those first.

-15c(c-8)=0, so either -15c or c-8 equals 0, so c=0 or c=8.

Now let's take the zeros' average:

(0+8)/2=4.

The vertex's x-coordinate of this parabola is 4. Now let's find P(4).

P(4)=-15(4)(4-8)

240.

The maximum power of this circuit is 240 watts.

PLEASE MARK BRAINLIEST AND VERTIFIED ANSWER!! I spent a lot of time on this... :P thank you!!