question archive 1) Determine the first 4 nonzero terms of the Taylor series for the solution y φxy'' xy' x2y yy' = () of the given initial value problem, + cos()+ = 0; (0) = 1, (0) = 1

1) Determine the first 4 nonzero terms of the Taylor series for the solution y φxy'' xy' x2y yy' = () of the given initial value problem, + cos()+ = 0; (0) = 1, (0) = 1

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1) Determine the first 4 nonzero terms of the Taylor series for the solution y φxy'' xy' x2y yy'

= () of the given initial value problem, + cos()+ = 0; (0) = 1, (0) = 1.

What do you expect the radius of convergence to be? Why?

2) At BEST BAKERY, the average weight of a sample of 100 loaves of bread

was 10.21 ounces. If the population standard deviation for loaves of bread is known to be 2.2 ounces, construct a 99% confidence interval for the population average weight of a loaf of bread.

3) The lengths of widgets at ACME WIDGET are normally distributed with

a mean of 15 inches and a standard deviation of 4.34 inches. Provide diagrams. a) What is the probability that a widget selected at random will be less than 17.66 inches? b) If a random sample of 10 students is selected, what is the probability that the sample mean will be less than 17.66 inches?

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