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Figure shows the auto-spectral density for a signal from an accelerometer which was attached to the front body of a car directly above its front suspension while it was driven at 60 mph round a test track used for ride assessment and optimisation. The signal was calibrated in milli-g (mg) units, i.e. 1 unit is 0.00981 m/s2.
a) Discuss the prominent features of the response.
b) Estimate the rms value of the measured acceleration and the maximum acceleration you would expect in a five-minute recording of the signal. State any assumptions that you make and comment on the validity of any assumptions.
c) How would you check if the process that produced the signal is stationary?
d) How would you check if the process that produced the signal is ergodic?
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Explain Identifying Conic Sections The graph of a quadratic equation in the variables x and y, like this one, x 2 + 3y 2 + 6y = -4, is a conic sections. There are three kind
what is the lcm of 4, 6 ,18?
y+7 3y-2 --- = 1 + ---- 3 5
Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
Consider the integral where the notation means a contour that is parallel to the real z axis, but moved down by a distance d . Use the method of steepest descents to deri
1. Let A = {1,2, 3,..., n} (a) How many relations on A are both symmetric and anti-symmetric? (b) If R is a relation on A that is anti-symmetric, what is the maximum number o
how can we represent this mathematical equation on a graph y=2x-1
shares and dividend
performs the mentioned operation and write the answers in standard form. ( -4 + 7 i ) + (5 -10 i ) Solution Actually there isn't much to do here other than add or subt
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