Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Ask your questions and receive precise answers from experienced professionals across different disciplines. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The power generated by an electrical circuit (in watts) as a function of its current xxx (in amperes) is modeled by:

P(x)=-12x^2+120xP(x)=−12x

2

+120xP, left parenthesis, x, right parenthesis, equals, minus, 12, x, squared, plus, 120, x

What is the maximum power generated by the circuit?

watts

Sagot :

abidemiokin

Answer:

300watts

Step-by-step explanation:

Given the power generated by an electrical device modeled by the equation

P(x) = -12x²+120x

The maximum power generated occurs when dP(x)/dx = 0

dP(x)/dx = -24x+120 = 0

-24x + 120 = 0

-24x = -120

x = 120/24

x = 5

Substitute x = 5 into the modeled function to get the maximum power as shown;

Recall that: P(x)=-12x^2+120x

P(5) = -12(5)² + 120(5)

P(5) = -12(25) + 600

P(5) = -300+600

P(5) = 300

Hence the maximum power generated by the circuit is 300watts

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.