For which of the following integrands will the table method for parts produce an antiderivative?
1 answer:
Answer:
x³ sin(x)
Step-by-step explanation:
Tabular method is a special form of integration by parts. It works by taking derivatives of u and integrals of dv. You multiply diagonally, then sum the results, alternating the signs.
The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0. So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:
d/dx (x³) = 3x²
d/dx (3x²) = 6x
d/dx (6x) = 6
d/dx (6) = 0
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Answer:
0.381 is the probability that the number of drivers will be at most 18.
Step-by-step explanation:
We are given the following information in the question:
The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.
- The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
- The variance of Poisson distribution is equal to the mean of Poisson distribution.
a) P(number of drivers will be at most 18)
Formula:
Thus, 0.381 is the probability that the number of drivers will be at most 18.