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1. Solve the Initial Value Problem x' = 3 x^2/3 , x(0) = 0.
2. Show that if we change the IVP to x(0) = 1, the same system , that is x' = 3 x^2/3, still has a unique solution on the interval ( minus infinity, plus infinity).
Total number of ways a customer can place the order, A bagel shop offers 14 varieties of bagels, 11 flavors of cream cheese, and 15 flavors of coffee. How many different orders for a bagel
Let G be an undirected graph, and let T be the spanning tree genereted by a depth-first search of G. Prove that an edge of G that has no corresponding edge in T cannot join nodes in differect branches of the tree
Probability - poker fullhouse. A game of poker is played with an ordinary deck of 52 cards, and each player is dealt a hand of 5 cards chosen at random
Can you give two other ways of representing a discrete probability distribution? Or Can a pair of events be both mutually exclusive and independent? Description of Mutually exclusive events
Solve the average cost function.
A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring (128/101) feet.
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
Find the maximum and minimum concavitiy
Develop a probability distribution for the job satisfaction score of an executive manager. Develop a probability distribution for the job satisfaction score of a financial adviser.
Create a probability tree showing all marginal, conditional, and joint probabilities.
Calculate the value of appropriate test statistic
Explain how you would conduct the survey. What are the ethical implications if the manufacturer of Brand A toothpaste asked you to survey only its employees?
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