Simplify Completely 6x^4 + 9x^2 + 12x over 3x
2 answers:
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Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
Matching each equation of the plecewise function represented in the graph will be:
- 2 < x < 3 = 3 - x
- 0 < x < 2 = 1
- x = 2 = x
- 3 < x < 5 = 5 - x
It should be noted that a domain simply means the set of inputs that are accepted by the function.
In this case, the equation of the piecewise function represented is given.
The graph is attached.
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Answer:
0.5 hour
Step-by-step explanation:
Given
Speed of Dina = 10 km/h
Distance = 20 km
So the time Dina taken to complete the track is:
The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,
her distance covered in 2 hours was:
So we know the time and distance:
Now,
We have to calculate the time that will be needed by MAsha to complete the track:
As we know the speed and remaining distance
Masha needs 0.5 hour to complete the track ..