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A linear time-invariant system is described by the DE: x' = Ax + u(t)*b
where A = [-2, 1, 0; 1, -2, 0; 0, 0, -1] and b = [1; 0; 1]Find the steady state response to a simple harmonice input of period 2pi/omega and amplitude alpha. Give the amplitude and phase for the component x_3(t) only.
Suppose that an object is projected in such a way that its height above the ground in feet after t seconds is given by s(t) = -16t2 +48t + 46. Find the maximum height of the object.
Show that ~ is an equivalence on M and if a* deontes the equivalence class of a, let M* = {a*| a belongs to M} denote the set of all equivalence classes. Show that a*b* = (ab)* is a well-defined operation on M* deontes.
Find the probability that everyone who appears for the ride will get a seat.
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.
By looking at two linear equations, how can you tell that the corresponding lines are parallel, the same graph, or intersecting lines? How many solutions does each possibility have and why is that? Show examples for each possible situation.
Two trains leave stations 312 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 55 miles per hour. How long will it take for the two trains to meet?
How may switches of each type should be produced in order to maximize profit? What is the maximum profit?
Find the constant of variation and write an equation of direct variation -
Provide a logical explanation for this relationship (Hint: consider n objects as consisting of n-1 existing objects plus a new nth object.
Excel Solver-maximize annual passenger-carrying capability, An airline owns an aging fleet of jet airplanes. It is considering a major purchase of up to 17 new model 7a7 and 7b7 jets. The decision must take into account numerous cost and capabilit..
The probability that federal income tax returns will have 0,1, or 2 errors is 0.53,0.15, and 0.32. if 10 randomly selected returns are audited
State the research and null hypotheses to test whether or not doctors in this HMO have less experience than the national average at alpha=0.05
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