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Elastic energy is the potential mechanical energy stored in the volume of a material when that volume is compressed or stretched. The elastic energy W corresponding to a volume R of a certain material is (q^2)R/(2EI), where q is its stress and E and I are constants. Find the elastic energy of a cylindrical volume of radius a and length l in which the stress varies directly as the distance from its axis, being zero at the axis and q0 at the outer surface. Justify your answer by commenting on the influence of a and l on this energy.
Every convergent sequence contains either an increasing, or a decreasing subsequence.
Discrete-time model for an economy
Find the Laplace transform and also find the inverse Laplace transform
Find the exact solution to the initial value problem and estimate the errors in the predicted value of ya(1) and yb (1) and suggest a value of step size for each method that would provide a value of y(1) accurate to 0.5%.
1.a state the limit de?nition of the derivative fx.b using the limit de?nition of the derivative compute fx when f x
Briefly explain why the Bernoulli process assumptions might not hold here - What is the largest value of n so that P(Y > 0) = 0.02?
problem 1 let fr-gtr be a function fxx if xgt0 x-1 if xlt0evaluate whether f isa u-u continuous.b c-c
Select a project and agree specifications and procedures and implement the project within agreed procedures and to specification.
You will need the parameterization formula for a helix discussed in class. (2) Since you want ten turns of wire, it is convenient to let the range of parameter t be 0
1 every convergent sequence contains either an increasing or a decreasing subsequence.?proof suppose that limas n goes
Explain what each of the following mathematical statements mean in regard to the graph of f(x).With your explanation, include a DIAGRAM for each part.
Analysis of the Regressions - Make very specific comments and give reasons regarding any similarities or differences in the output results and which regression produces the strongest correlation coefficient result?
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