Question

The power generated by an electrical circuit(in watts )as a function of its current c in s'mores is modeled by P(c)=-12c2+120c what current will produce the maximum power

Answer 1

5

Explanation:

The maximum or minimum of a quadratic function occurs at x= −b/2a. If a is negative, the maximum value of the function is f(−b/2a). If a is positive, the minimum value of the function is f(−b/2a)

fmax

c=ac²+bc+c occurs at c=−b/2a

Find the value of c

equal to −b/2a

c=−b/2a

Substitute in the values of a

and b

c=−120/2(−12)

Remove parentheses.

c=−120/2(−12)

c=−60/−12

c= 5