Suppose in the traffic flow model the speed v of cars is taken to be a positive monotonic differentiable function of density: v = v (u).
Can there be two local maxima of the flux? (Hint: Make Q (u) quartic.)

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Ответ:

meganxc98

25.09.2022

Mathematics

B. 0.067

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number of arrangements:

The number of possible arrangements of n elements is given by:

$A_{n} = n!$

Desired outcomes

First red(10 - (5+2) = 3 possible)

Last red(2 possible).

Middle 8 arranged in any way.

$D = 3*A_{8}*2 = 3*8!*2 = 241920$

Total outcomes:

Arrangements of 10 elements. So

$T = A_{10} = 10! = 3628800$

What is the probability that the first and last blouse are both red?

$p = \frac{D}{T} = \frac{241920}{3628800} = 0.067$

The correct answer is given by option B.

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Suppose in the traffic flow model the speed v of cars is taken to be a positive monotonic differentiable function of density: v = v (u). Can there be two local maxima of the flux? (Hint: Make Q (u) quartic.)