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Suppose that a body moves in a straight line through a resisting medium with resistance proportional to the square of it's speed v with initial speed v_0 and initial position x_0. Show that it's speed and position are given by v(t)=v_0/(1+v_0kt), x(t)=x_0+((ln(1+v_0kt))/k). Conclude that the body travels only an infinite distance, i.e. x(t) tends to infinity as t tends to infinity.
Probability and computing the odds. Compute the odds of each of the following events and rank them in order of decreasing likelihood.
You decide to start your article with a math example that the readers can understand. Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing.
The correlation between weekly sales and shelf space.
the dual degree students are receiving lower grades? Explain your answer to receive full credit.
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
State null & alternative hypotheses
Mean and variance explained in this solution. A school is sending 11 children to a camp. If 25% of the children in the school are first graders
Important information about Sets, Counting & Probability : Combinations, How many poker hands consist of four clubs and a card of a different suit?
How much variation does knowledge of Age Score
Working with probability distributions and expected values. Suppose 5 apples in a barrel of 25 apples are known to be rotten.
Calculate an exponentially smoothed forecast, using an alpha value of .30.
Probability mass function 2.) Suppose X has probability mass function Pr{X = k} = c(k + 2) for k = -1, 0, 1, 2
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