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Непрерывная случайная величина х задана функцией распределения: Примеры решения задач — Теория вероятностей
Suppose that a population develops according to the logistic equation$ \frac {dP}{dt} = 0.05P - 0.0005P^2 $where $ t $ is measured in weeks.(a) What is the carrying capacity? What is the value of $ k? $(b) A direction field for this equation is shown. Where are the slopes close to 0? Where are they largest? Which solutions are increasing? Which solutions are decreasing?(c) Use the direction field to sketch solutions for initial populations of 20, 40, 60, 80, 120, and 140. What do these solutions have in common? How do they differ? Which solutions have inflection points? At what population levels do they occur?(d) What are the equilibrium solutions? How are the other solutions related to these solutions?
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Determine the real roots of $f(x)=-0.5 x^{2}+2.5 x+4.5$ (a) Graphically.(b) Using the quadratic formula.(c) Using three iterations of the bisection method to determine the highest root. Employ initial guesses of $x_{l}=5$ and $x_{u}=10$ Compute the estimated error $\varepsilon_{a}$ and the true error $\varepsilon_{t}$ after each iteration.
What does it mean for a plane to be aerodynamically stable?Stability vs maneuverability Subscribe to RSS
Use the Newton-Raphson method to find the root of$$f(x)=e^{-0.5 x}(4-x)-2$$Employ initial guesses of (a) $2,$ (b) $6,$ and (c) $8 .$ Explain your results.
Refer to the Map $3.3 .$ The following topographic map shows an interesting and informative geological feature called a drumlin, which is a pile of sediment left behind by a retreating glacier.Drumlins can be used to determine the direction of movement in the glacier with the glacier moving toward the shallower side of the structure. Using your previous answers for Map $3.3$, what direction was the glacier traveling? Note: unless indicated otherwise, assume that North is up (towards the top of the map).
Graph of y=2e^(3x) with the labeled points (-1/3, 2/e), (0, 2), and (1/3, 2e) and with the asymptote at y=0.
