Question

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c)= -12c^2 + 120c. What current will produce the maximum power?? ________ amperes.

Answer 1

5

Explanation:

Answer 2

5 amperes will produce the maximum power

Explanation:

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c)= -12c^2 + 120c.

To find out the maximum power we need to find the vertex

formula to find x -coordinate of vertex is
`(-b)/(2a)`

P(c)= -12c^2 + 120c is given in the form of y=ax^2+bx+c

a= -12, b = 120

`c=(-b)/(2a)=(-120)/(2(-12))=5`

c= 5 amperes will produce the maximum power