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

Answer:

5

Step-by-step explanation:

Answer 2

Answer:

 5 amperes will produce the maximum power

Step-by-step 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 $\frac{-b}{2a}$

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

a= -12, b = 120

$c=\frac{-b}{2a}=\frac{-120}{2(-12)}=5$

c= 5 amperes will produce the maximum power