The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by:
p(c)=−20(c−3)^2 + 180
which currents will produce no power (i. e. 000 watts)?
enter the lower current first.
lower current: amperes
higher current:

Lowest Current : c=0 and 6 Amp

Highest Current : 3 amp

Step-by-step explanation:

We are given our function as

We are asked to determine the values of current c at which the power P(c) is equal to 0

Hence

Now we solve the above equation for c

subtracting 180 from each side we get

Dividing both sides by -20

Taking square root on both sides

c-3= ±3

adding 3 on both sides

c=±3+3

hence

c= 0

or

c=6

At c=0 and 6 amperes the power will be minimum

Now we have to find the c at which the power will be the highest

Represents a parabola

subtracting 180 from both sides we get

Comparing it with standard parabola

(h,k) will be the coordinates of the vertex

Hence here

h=3 , k = 180

Hence in this equation

The vertex will be (3,180)

Or at c=3, P = 180 the maximum

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

yes

step-by-step explanation: