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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:
D.
Step-by-step explanation:
Mass of Jupiter is given as 1,898,000,000,000,000,000,000,000,000 kg
Estimating this to the nearest whole number would be = 2,000,000,000,000,000,000,000,000,000 kg (rounding up the the "1,898")
To express this in scientific notation form, simply count how many zeros we have to the nearest whole number, 2.
We have 27 zeros there.
Therefore, we would multiply the whole number, 2, by 10 raise to the power of 27.
An estimate of the mass of Jupiter =