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Consider the initial value problem (IVP): y'(t) = 3+t+y y(0)=1
a) Approximate y(1) using Euler's method and step sizes of 0.2. Perform these calculations by hand. What is the exact value of y(1)?
b) Use the computer (e.g. ODE Architect, ODE Toolkit, or your own program) to approximate y(1) using step sizes of 0.1, 0.05, 0.025 and 0.01. What is the general relationship between the error of the approximation and the step size?
1. assume that event a occurs with probability 0.4 and event b occurs with probability 0.5. assume that a and b are
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The mean monthly rent for a random sample of 10 apartments advertised in the local newspaper is $640. Assume that the standard deviation is $90. find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments ..
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in a pew research center poll of 800 randomly selected adults 600 said that it is morally wrong to not report all
In 2006, the Florida poll conducted by Florida International University asked whether current environmental regulations are too strict or not too strict. Of 1200 respondents. 229 said they were too strict. Find and interpret a (a) 95%. (b) 99% con..
Use the Counting Theorem to determine how many different such bricks can be made, if two bricks are regarded as the same when a rotation takes one to the other.
The weight of an almond is normally distributed with mean 0.05 ounce and standard deviation of 0.015 ounce. Find the probability that a package of 100 almonds will weigh between 4.3 and 5.3 ounces.
The true breaking strength of our trash bags when using a 95% confidence interval. What is the minimum number of bags we should sample?
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At a large department store, the amount a shopper spent and the shopper's gender (male or female) were recorded. To determine if gender is useful in explaining the amount of money a shopper spends at the store we could
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