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1. Find the Inverse Laplace Transform of the following:
(a) F(s) = (2s + 5)/(s2 + 5s + 6)
(b) F(s) = 10(s + 1)/(s2 + 4s + 3)
(c) F(s) = 10(s + 1)/(s2 + 4s + 8)
2. For the systems below, find H(s) and the poles and zeros:
(a) y'' + 8 y' + 116 = 11x
(b) y' + 4y = 3x
(c) y'' + 4y' + 20y = 2x' - x
3. Find the Inverse Laplace Transform of:
x(s) =(s2 - 2s + 1)/(s3 + 3s2 + 4s + 2)
Denote by Y the number of seconds we have to wait until we receive the first call. Calculate Var(Y ) exactly and estimate this quantity based on 100000 simulations of this process via crude Monte Carlo and Calculate the probability that we have to ..
q.1 the bending moment m of a beam of length l is given bydmdx wx1where w is the load constant. if m0 0 find m as a
Compare the results of i) to the exact solution and comment on the accuracy of the numerical algorithm and adopted step size.
1) Determine the autocorrelation function RXX(T) for the continuous-time random process X(t) that has the power spectrum (show all steps for your derivation)
For the composite areas shown first determine the centroids and second determine the moment of inertia with respect to the centroidal axes Ixc and lyc.
Does it appear that gender/sex is a significant factor in the differences in salary in this sample?
As part of a study on transportation safety the US Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percent of licensed drivers under the age of 21 in a simple of 42 cities Data collected over ..
How can you or your department decide whether or not the observed differences over time are important? How could using a mean difference test help?
Suppose P(A\B) = P(A), P(A and B) = .42, and P(A) =0.6. What is P(B)?
A typical recommendation from an inferential test is to either not Reject the null implying no statistical difference in the means or to reject implying there is a statistical difference in the means.
Give a 95% prediction interval for the mean low temperature volume next month if the high temperature is 50.
How many relations on A are both symmetric and antisymmetric?
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