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

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) (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) (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)
=======================
Use CAP I for current, and L for length.
a)Graph the function.
DL the FREE graph software at www.padowan.dk
======================
b)For what value of the current with the power be a maximum?

c) What is the maximum power?

RELATED QUESTIONS
The power, P watts, supplied to a circuit by a 9-V battery is given by the formula p =... (answered by Solver92311)
The power, P watts, supplied to a circuit by a 9-V battery is given by the formula p =... (answered by Solver92311)
The power P, in watts, supplied to a circuit by a battery is given by the formula... (answered by Alan3354)
MAXIMUM AND MINIMUM PROBLEMS 3. The output power, P, in watts, for a 12 V battery is... (answered by richwmiller)
the voltage in a circuit is given by the equation V= square root of PR, where P is the... (answered by bucky)
the voltage in a circuit is given by the equation V = square root of PR, where P is the... (answered by ankor@dixie-net.com)
Your kindly, old professor drives a Toyota Avalon to work to teach his beloved students.... (answered by ikleyn)
The potential difference across a circuit is given by the complex number V = 40 + j35... (answered by KMST)
Under certain conditions, the power P, in watts per hour, generated by a windmill with... (answered by Alan3354)