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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?
Case 1: Suppose we have two terms 7ab and 3ab. When we multiply these two terms, we get 7ab x 3ab = (7 x 3) a 1 + 1 . b 1 + 1 ( Therefore, x m . x n = x m +
Right- and left-handed limits : Next, let's see precise definitions for the right- & left-handed limits. Definition For the right-hand limit we say that, if for eve
Rolle's Theorem Assume f(x) is a function which satisfies all of the following. 1. f(x) is continuous in the closed interval [a,b]. 2. f(x) is differentiable in the ope
Ask qudefination of empty matrixestion #Minimum 100 words accepted#
If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v
2x-3x=6
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sin (cot -1 {cos (tan -1 x)}) tan -1 x = A => tan A =x sec A = √(1+x 2 ) ==> cos A = 1/√(1+x 2 ) so A = cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s
Parallel to the line specified by 10 y + 3x= -2 In this case the new line is to be parallel to the line given by 10 y ? 3x ? -2 and so it have to have the similar slope as this
Hypothesis Testing About The Difference Between Two Proportions Hypothesis testing about the difference between two proportions is used to test the difference between the propo
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