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Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:
To find:
The current that will produce the maximum power.
Solution:
We have,
Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is , then
In the given function, a=-12 and b=120. So,
Putting x=5 in the given function, we get
Therefore, 5 watt current will produce the maximum power of 300 amperes.
Answer:
=
with T₁ = 5000
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = =
=
=
This indicates the sequence is geometric with recursive rule
= r
Here tr = , thus
=
, T₁ = 5000