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:
the radius is about 14.47 ft
Step-by-step explanation:
658=pi*r^2 Given
658=3.14*r^2 Substitution
209.55=r^2 Division property of equality
√209.55=√r^2 square root property of equality
the radius is about 14.47 ft
Answer:
100 42/100
Step-by-step explanation: you put the change as a fraction
Answer:
Step-by-step explanation:
Comment
Begin by removing the brackets.
6+3(n-4)-8+2n
6 + 3n - 12 - 8 + 2n Collect like terms
3n + 2n + 6 - 12 - 8 Combine
5n - 14
Answer
5n - 14
Answer: rhombus, rectangle, and square — are so-called because they’re special cases of the parallelogram.
Step-by-step explanation: