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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?
Prove that if x is a real number then [2x] = [x] + [x + ½ ] Ans: Let us consider x be any real number. It comprises two parts: integer and fraction. With no loss of
give some examples
what is a domain of a function?
Here we need to see the inverse of a matrix. Provided a square matrix, A, of size n x n if we can get the other matrix of similar size, B that, AB = BA = I n after that we call
Construct the finite automaton for the state transition table given below. Ans: The finite automata is displayed below. The initial state is marked along with arrow sign a
Thomas is remaining track of the rainfall in the month of May for his science project. The first day, 2.6 cm of rain fell. On the second day, 3.4 cm fell. On the third day, 2.1 cm
(a) Derive the Marshalian demand functions and the indirect utility function for the following utility function: u(x1, x2, x3) = x1 1/6 x2 1/6 x3 1/6 x1≥ 0, x2≥0,x3≥ 0
I have a simple right angle triangle. All I am given is h (the hypotenuse) and that ratio of x:y is 2:3. What is the formula to find x and y in terms of h?
Devise data that link a certain relationship OF YOUR CHOOSING between two variables. Write a rationale stating why you chose this particular data and what you are planning to STAT
1/2 + 2/8 =
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