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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?
a regression line for a data set was found to be yt 1.25 - 3.84x . what is the point prediction of y for x 20?a.
The nature of the hypothesis being tested, and the appropriateness of the statistical procedures employed in that test. You may illustrate your points using the tests you conducted.
suppose iq scores were obtained from randomly selected siblings. for 20 such pairs of people the linear correlation of
For the profit payoff table below, the decision maker assumes that P(s1) = .15, p(s2) = .50, and p(s3) = .35.
What developmental milestones and behaviors signify an adolescent's attempt to transition from parental dependence to independence?
If you want to make a claim about the mean length of the manufactured steel beams with 99% confidence, what would be the range of the mean - Find the error in the claim that the average length of the beam is 12 feet.
Suppose X is a random variable with mean u and variance sigma2, Calculate the mean vector and variance matrix of the random vector Y = (X,2+3X)?
Calculate the t-test statistic by hand. I don't understand steps to solve this problem. If you could provide me with a step by step narrative it would be appreciated.
Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions. What is the likelihood the sample mean is at least $25.00?
Draw the histogram for these data using an initial class boundary of and a class width of . Note that you can add or remove classes.
Decrease your sales price by $5 in order to increase sales by 5,000 units. Which of the above alternatives would your choose to increase profits?
Suppose that possibility of being seated at two restaurants are independent of each other, determine the probability that. Both restaurants will be able to seat you next Saturday night?
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