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.
Probability of an Ace= 4/52
Probability of a King = 4/52
Probability of an Ace or a King = P(Ace) + P(King)
=4/52 +4/52
=8/52
=2/13
Answer:
Cross section
Step-by-step explanation:
Cross section refers to the new two dimensional face exposed when we slice through a three dimensional objects.
It can also be the surface or shape exposed by making a straight cut through something, especially at right angles to an axis.
Cross section is the plane surface(two-dimensional objects) formed by cutting across a solid shape (three-dimensional shape) especially perpendicular to its longest axis.
To solve this equation from the information given above, I ordered it 5x+12=8x. To solve, I subtracted 5x from each side, canceling the 5x to your left, leaving only the number 12. 8x minus 5x equals 3x. Take 3x and divide on both sides. 3x/3x cancels the 3, leaving 12/3 equals 4. Finally, x equals 4.
Answer:
10.82
Step-by-step explanation: