Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

To find:
The current which will produce the maximum power.
Solution:
We have,


Differentiate with respect to x.

...(i)
To find the extreme point equate P'(x)=0.


Divide both sides by -30.

Differentiate (i) with respect to x.

(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer: -40 feet
Step-by-step explanation: the scuba diver starts at sea level (0) then swims down 30 feet (-30). after a couple minutes, goes down 10 feet more (-40) the scuba diver will now be -40 down from sea level. so it should be -40 because the scuba diver swam that much down.
lmk if this is incorrect, i'm not quit sure if it is or not. if i'm wrong, i'm so sorry!!
:)
Answer:
157 is the answer
Step-by-step explanation:
If you go on google and type 235- 33% you get 157.45 and to the nearest whole number is 157 hope that helped.
Answer:
486
Step-by-step explanation:
Hello!
To find the surface area of a cube we use the equation

S is the surface area
a is the side length
Put what we know into the equation

Solve
S = 6 * 81
S = 486
Hope this Helps!
X + 13 = -4
x = -4 - 13
x = - 17
I am thinking it is the first one..solution is -17