SOLUTION: The power, P watts, supplied to a circuit by a 9-V battery is given by the formula p = -0.51^2 + 91, where I is the current in amperes. (Amperes is just the units for the current

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The power, P watts, supplied to a circuit by a 9-V battery is given by the formula p = -0.51^2 + 91, where I is the current in amperes. (Amperes is just the units for the current      Log On


   

Question 1169386: The power, P watts, supplied to a circuit by a 9-V battery is given by the formula p = -0.51^2 + 91, where I is the current in amperes. (Amperes is just the units for the current, just like a length is in cm)
a)Graph the function.
b)For what value of the current with the power be a maximum?
c) What is the maximum power?
Found 2 solutions by Solver92311, Alan3354:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


b) Set the first derivative of the function equal to zero and solve for I.

c) Find the value of the function for the value of I from part b)


John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The power, P watts, supplied to a circuit by a 9-V battery is given by the formula p = -0.51^2 + 91, where I is the current in amperes. (Amperes is just the units for the current, just like a length is in cm)
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Use CAP I for current, and L for length.
a)Graph the function.
DL the FREE graph software at www.padowan.dk
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b)For what value of the current with the power be a maximum?

c) What is the maximum power?