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Consider the unity feedback of P(s) where k is a scalar gain. (please check the attached file) Determine k such that the closed-loop system is under-damped with a damping factor of 0.5.
A de-generator with an internal resistance r develops V volts. If the variable resistance in the circuit is R, the power generated is P=V^2/(R+r). What resistance R gives the maximum Power?
In each case, sketch the closure of the set: (pi)
Verify whether this function is 1-1 and whether it is onto and find the formulas for f o f and g o f.
question if 0.3kg mass is attached to a spring with an elastic constant of 250nm and moved 0.25m from the equilibrium
Kendra pawned her guitar for $100. Her guitar was valued at $150. If Kendra paid the pawnbroker $150. to get her guitar back after one month, what annual percent interest rate did she end up paying?
From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.
Find the boundary of the function's domain. Determine if the domain is an open region, a closed region or neither, and decide if the domain is bounded or unbounded. Explaination and solution would be greatly appreciated!
The angle of elevation of the sun is decreasing at a rate of 0.25 rad/h. How fast is the shadow cast by a 400-meter-tall building increasing when the angle of elevation of the sun is pi/6?
The following eight numbers can be grouped into four pairs such that the higher of each pair divided by the lower is a number of particular mathematical significance (at least to 4 decimal places).
Select the approximate values of x that are solutions to f(x) = 0, wheref(x) = -8x2 + 6x + 5. A. {-1.60, 1.20}B. {-8, 6}
What is the probability that the price of stock 1 will not increase in the coming week? What is the probability that the price of stock 2 will change in the coming week?
Consider each of the following situations in a qualitative way and determine the equation type, the nature of the boundary curve and the type of boundary conditions involved a conducting bar given an initial temperature distribution and then therma..
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