Answer:
false
Step-by-step explanation:
Answer:
The current that produces maximum power is 3A
Step-by-step explanation:
Given
![P(c) = 20(c - 3)^2](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020%28c%20-%203%29%5E2)
Required [Missing from the question]
The current that produces maximum power
First, we represent the function in standard form
![P(c) = 20(c - 3)^2](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020%28c%20-%203%29%5E2)
![P(c) = 20(c - 3)(c - 3)](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020%28c%20-%203%29%28c%20-%203%29)
Open bracket
![P(c) = 20(c^2 -6c+ 9)](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020%28c%5E2%20-6c%2B%209%29)
![P(c) = 20c^2 -120c+ 180](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020c%5E2%20-120c%2B%20180)
The maximum value of c is:
![Max(c) = \frac{-b}{2a}](https://tex.z-dn.net/?f=Max%28c%29%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
Where:
![f(x) = ax^2 + b^2 + c](https://tex.z-dn.net/?f=f%28x%29%20%3D%20ax%5E2%20%2B%20b%5E2%20%2B%20c)
By comparison: ![P(c) = 20c^2 -120c+ 180](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020c%5E2%20-120c%2B%20180)
![a = 20](https://tex.z-dn.net/?f=a%20%3D%2020)
![b = -120](https://tex.z-dn.net/?f=b%20%3D%20-120)
![c = 180](https://tex.z-dn.net/?f=c%20%3D%20180)
So, we have:
![Max(c) = \frac{-b}{2a}](https://tex.z-dn.net/?f=Max%28c%29%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
![Max(c) = \frac{-(-120)}{2 * 20}](https://tex.z-dn.net/?f=Max%28c%29%20%3D%20%5Cfrac%7B-%28-120%29%7D%7B2%20%2A%2020%7D)
![Max(c) = \frac{120}{40}](https://tex.z-dn.net/?f=Max%28c%29%20%3D%20%5Cfrac%7B120%7D%7B40%7D)
![Max(c) = 3](https://tex.z-dn.net/?f=Max%28c%29%20%3D%203)
Find a power series representation for the function. Determine the interval of convergence. (Give your power series representation centered at x
|-3| > -|3|
Note that when a number is in absolute absolute values, the number will always be positive.
> is your answer
hope this helps
Answer:
selena is correct
Step-by-step explanation: