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1. Find the first five natural frequencies and normalized mode shapes for a uniform bar, α(x) = 1, which is fixed at both ends, y(0) = 0 and y(1) = 0.
2. Find the first five natural frequencies and normalized mode shapes for a uniform bar, α(x) = 1, which is fixed at x = 0 and has a linear spring attached at x = 1 such that the boundary conditions are y(0) = 0 and dy/dx(1) + 0.25y(1) = 0.
3. Find the first five natural frequencies and normalized mode shapes for a uniform bar, α(x) = 1, which is fixed at x = 0 and has a discrete particle and a linear spring attached at x = 1 such that the boundary conditions are y(0) = 0 and dy/dx(1) + 0.25y(1) = 0.5ω2y(1).
Determine the point common to the lines given: r1(t) = r2(t) =
Determine the 90% confidence interval estimate for the true average sales value for prescriptions issues by the company. Interpret the interval estimate.
a prize drum holds 7 red balls 12 green balls 18 yellow balls and 13 orange balls. what is the probablity of drawing 2
Kendall Corners Inc. recently reported net income of $3.1 million and depreciation of $500,000. What was its net cash flow? Assume it had no amortization expense.
Employees of a local university have been classified according to gender and job type. The following table provides data about the employees.
Show that if (a_n)^infinity evaluated at n=1, and (b_n)^infinity evaluated at n=1 are equivalent sequences of rationals, then (a_n) ^infinity evaluated at n=1 is a cauchy sequence if and only if (b_n)^infinity evaluated at n=1 is a cauchy sequence..
Use rules of differentiation.
Prove De Morgan's laws for sets by using set theory arguments
What sort of statistics or probabilities would you need to see to convince you that this "unhealthy substance bump" in insurance rates was justified
Using rectangles whose height is given by the value of the function at the midpoint of the rectangles base (the midpoint rule); estimate the area under the graphs of the following functions, using first two and then four rectangles.
A new yarn shop wants to apportion their investment money ($150,000) for advertising, building upgrades, and education in the ratio of 7:8:10. How much money does each category get apportioned?
Count the nu,ber of times you draw a card in this manner until you observe a jack. Is a binomial distribution a reasonable probability model for the random variable X? State your reason clearly.
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