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Maximizing the Sustainable Yield
3.17) 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. If you wanted to maximize the sustainable yield, what would you suggest in terms of population size and yield?
A matrix A is said to be skew-symmetric if A^T = -A. Show that any square matrix can be represented as a sum of a symmetric matrix and a skew-symmetric matrix.
Convergence and Divergence: find an infinite series of the given absolute function by using the fact give also estimate natural log of values by substitution
What is the probability of there being 2 aces in a single column at the start of a Free Cell game? What about 3 and 4 aces in a single column? Conduct an experiment that validates your findings.
Graph the given function and label the vertex - Complete the square to write each function as a transformation.
Calculate the mean of the distribution of sample means and the population mean.
Calculating the probability from a given situation using combinations. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random.
Recent study of television viewing, 73% of first year college students stated that university well off financially is a very important personal goal. What is the probability that a similar study would have the same sample mean or higher?
All of the graphs in occur in real life. Find a real-life application of each of the below graph and describe the characteristics of each application as related to the graph.
Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Define Tree Diagram and Dice Tossing
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
Half angle formula to find the exact value.
A particle moves along the graph of the function y=8/3x^3/2 (the 3/2 is the exponent on the x) at the constant rate of 2 units per seconds.
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