Question

9. ** The power in watts, P, that is generated by an electrical circuit depends on a current in amperes, i, and can be modeled using the function P = -15i(i - 8).

Answer 1

We have the following function given:

P= -15i (i-8)

Part a

We want to find this:

0 = -15i (i-8)

Then the answer is:

i = 0 , i = 8

A weaker current of 0 amperes and a stronger current of 8 amperes

Part b

The maximum power can be calculated taking the first derivate like this:

P' = -30i +120 =0

i= 120/30 = 4A

Then P = -15*4 (4-8)=240 W

240 Watts

Part c

From part b the answer is:

4 amperes