The power generated by an electrical circuit (in watts) as a function of its current xxx (in amperes) is modeled by:
2 answers:
Answer:
<em>300watts</em>
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
<em>Hence the maximum power generated by the circuit is 300watts</em>
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
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