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.
To find this I would use the pythagorean theorem which is:
a^2 + b^2 = c^2
Since we already know c = hypotenuse, and a side of the shorter sides we can plug them it like this:
11^2 + b^2 = 12^2
121 + b^2 = 144
b^2 = 23
√23 = 4.79
Round:
B. 4.8 would be your answer!
Answer:
Step-by-step explanation:
-5x + 5
Answer:
Step-by-step explanation:
we know that
She drove from her house to the airport and back 2 times
so
Multiply the distance from her house to the airport by 4
Answer:
B. 434.89
Step-by-step explanation:
A basketball is a sphere and the volume formula is:
V = 4/3πr³
Given:
d = 9.4
r = 9.4/2
r = 4.7
Work:
V = 4/3πr³
V = 4/3π(4.7)³
V = 4/3π(103.823)
V = 434.89
