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Please evaluate the following integral using the formula for integration by parts,
∫udv = uv - ∫vdu
∫e^(-2x) sin2xdx
Please show detailed solution, including substitution(s) used.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
A montly cost of a long distance phone plan in dollars is a linear function of the total calling time in minutes. When graphed the funtion gives a line with a slope of 0.13.
A mini license plate for a toy car must consist number followed by two letters. Each letter must must be a C, A or R. Each number must be a 3 or 7 Repetition of letters is permitted. License plate sample space and probability
Evaluate the value of x for which the power series converges - determine whether or not it converges at the endpoints of that interval.
Find the probability that during any given day three machines will break down.
Give the horizontal asymptotes. Graph the function by dividing the axis and tell if the graph is above or below the axis for it's intervals.
Show that the functions 1, x and cosx are orthogonal on the interval -(pi)
Find the maximum depth using the given function - What is her depth after 4 sec? After 6 sec?
In a percent change graph of an average teachers annual salary the bars representing successive years are either unchanged or decreasing in size.
Application of the Binomial Distribution to an Aircraft. Suppose you are flying a four-engine aircraft on a 10-hour transoceanic flight. Assume that it has been established that the probability of an engine of the type you have on your aircraft fa..
What then is the chance that there will be a need for exactly 2 ambulances during that time slot on any given Wednesday morning?
Probability of sports, Eighty seven cities were surveyed to determine sports teams. The survey found that
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