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Equation 7: \frac{dP}{dt}=k(cat)E0S/k(m)+S
hdldata:
berdata:
Any help at all please!! If you need more info let me know!!
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Markov Chains
Under normal operating procedures, a cargo port can process unloading of up to 5 arriving container ships in a single day. The number \( Z \) of arrivals each day is random, with the following probabilities:
$$ P[Z=3]= 0.1, P[Z=4]= 0.1, P[Z=5]= 0.4, P[Z=6]= 0.2, P[Z=7]= 0.2. $$
Ships which have not been processed in a given day remain at the port overnight to be processed the following day, together with the newly arriving ships. However, if the number of contained ships requiring unloading in any given day is 9 or more, the second dock is activated, which can process up to 4 ships a day. Let \(X_n \) be the number of ships remaining at the port overnight after the \(n \)-th day.
(i) Show that \(X_n \) is a Markov chain and construct the corresponding one-step transition matrix.
(ii) If, after the second day of operation, the number of ships remaining overnight is \(X_n=2 \), what is the probability distribution for the number of ships remaining at the port overnight after the 4th day of operation?
(iii) Find the stationary probability distribution.
1 answer, 2 comments
Under normal operating procedures, a cargo port can process unloading of up to 5 arriving container ships in a single day. The number \( Z \) of arrivals each day is random, with the following probabilities:
$$ P[Z=3]= 0.1, P[Z=4]= 0.1, P[Z=5]= 0.4, P ...
How can I demonstrate that the following series:
$$ x_n = n^{(-1)^n} $$
is neither limited, nor is infinitely large when \( \lim{x \to \infty} \)
Momentum Problem
A proton is moving with the speed \( V \) straight at a helium nucleus at rest. What will be the speed of the particles when they are at the closest distance to each other? Assuming that the He nucleus' mass is 4 times that of the proton.
It's in the conservation of momentum section, but I'm not sure how to approach it using just that...
1 answer, 0 comments
A proton is moving with the speed \( V \) straight at a helium nucleus at rest. What will be the speed of the particles when they are at the closest distance to each other? Assuming that the He nucleus' mass is 4 times that of the proton.
It's in the ...
Given the four vectors
$$\vec{a} (1, 1, -1)$$
$$\vec{b}(1, 2, -5)$$
$$\vec{c} (-1, 1, 1)$$
$$\vec{d} (-1, 3, 4)$$
I need to find \(\alpha, \beta, \gamma \) such that \(\alpha \vec{a} + \beta \vec{b} + \gamma \vec{c} + \vec{d} = 0 \)
Given the following vectors:
$$ \vec{a} (1,2) $$
$$ \vec{b} (-5, -1) $$
$$ \vec{c} (-1,3) $$
I need to find the coordinates of \( 2\vec{a} +3\vec{b}-\vec{c} \) and \( 16\vec{a} +5\vec{b}-9\vec{c} \)
They say that the speed of rain drops does not depend on the height of the rain clouds, but does depends on the drop size. Why is that?
Ferris Wheel Problem
I don't know how to solve it.
George Washington Gale Ferris. Jr., a civil engineering graduate from RPI, built the original Ferris wheel. The wheel carried 36 wooden cars, each holding up to 60 passengers, around a circle 76m in diameter. The cars were loaded 6 at a time, and once all 36 cars were full, the wheel made a complete rotation at constant angular speed in about 2 min. Estimate the amount of work that was required of the machinery to rotate the passengers alone.
P.S.
if the velocity is constant, then acceleration is 0, which means no work is being done???
1 answer, 6 comments
I don't know how to solve it.
George Washington Gale Ferris. Jr., a civil engineering graduate from RPI, built the original Ferris wheel. The wheel carried 36 wooden cars, each holding up to 60 passengers, around a circle 76m in diameter. The cars were loaded 6 at a time ...