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.
Find values that add to 5 and multiply to 6
so the answer would be (x+5)(x+1)
Answer:
11 years approx
Step-by-step explanation:
Given data
P=$1000
A=2000
R=6.5%
T= ?
Calculate time, solve for t
t = ln(A/P) / r
substitute
t=ln(2000/1000)/0.065
t=ln(2)/0.065
t=0.693/0.065
t=10.66
Hence the time is 11 years approx
Parallelograms and trapezoids always do.
(Note: "Parallelograms" includes rectangles, squares, and rhombussesses.)
Any polygon with more than 4 sides <u>can</u> have at least one pair of parallel sides,
but it's not guaranteed.
Answer: -28
Step-by-step explanation:
