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Prove d/dt(u(x(t),t))+tanh(x(t))(d/dx(u(x(t),t)))=0 u(x(t),0)=a(x(t)) limit as x tends to infinity of u(x,t)=0 has at most one solution.Explain why there is no boundary condition at x=0 and find a solution for the special case a(x(t))=sinh(x(t))
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If a study was done to measure the total brain volume of patients that had schizophrenia and also of patients that are normal. Table 1 has the total brain volume of the normal patients and table 2 has the total brain vol ...
Looking for guidance: A normal population has a mean of μ = 100. A sample of N = 36 is selected from the population, and a treatment is administered to the sample. After treatment, the sample mean is computed to be = 106 ...
We toss n coins, and each toss shows heads with probability p, independently of each of the others. Each coin which shows heads is tossed again. What is the distribution function of the number of heads resulting from the ...
The meantime it takes a technician to resolve this software issue is 18 minutes with a standard deviation of 4.2 minutes. This information was obtained from a random sample of 10 monitored calls. A sample of 15 monitored ...
Parents who did not finish high school have SAT math scores X with mean 451 and standard deviation 103. Scores Y of children of parents with graduate degrees have mean 567 and standard deviation 104. Perhaps we should st ...
A binomial process has 892 trails and a probability of success of 0.78. What is the standard deviation of this process distribution?
1. Out-of-state tuition and fees at the top graduate schools of business can be very expensive, but the starting salary and bonus paid to graduates from many of these schools can be substantial. The following data show t ...
A? BBB-rated corporate bond has a yield to maturity of 11.2%. A U.S. treasury security has a yield to maturity of 9.9%. These yields are quoted as APRs with semiannual compounding. Both bonds pay? semi-annual coupons at ...
You obtain a $250,000 mortgage loan from Bank of Montreal to buy a house. The mortgage has a 5-year fixed rate of 4%/year (using Canadian mortgage convention), and the amortization period of the mortgage is 20 years. (b) ...
You have a bag with three fair dice. One is 4-sided, one is 6-sided, and one is 12-sided. You reach into the bag, pick one die at random, and roll it. The outcome of the roll is 4. What is the probability that you rolled ...
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