Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.