9-31 Show that if -10 $= s= ["ºx MA PR x(t) dt 10 then E(s) = (1 (10-|T|) Rx (T) dr Find the mean and variance of s if E{x(t)} = 8, Rx(7) = 64 + 10e-²1²¹. + ITING n

The characteristic equation of a system is given as s3+25s2+10s+50=0. What is the number of the roots in the right half s-plane and the imaginary axis respectively?

Find: Static position, velocity, acceleration error coefficients, and corresponding steady state errors.  G(s)= K(2s+1)(4s+1)/s2(s2+2s+10) Note: This is a open loop function, input signal are unit step, unit ramp and parabolic. I need answer ASAP. Thank you!

A chirp is a signal of the form    x(t) = A sin(2πϕ(t))    where A is the amplitude and the function ϕ(t) is the phase of the chirp. If the phase has the form    ϕ(t) = f0 ((t1 − t0) / ln ( f1/ f0 )) *   ((f1/ f0)^( t−t0/ t1−t0 ) − 1 )  + ϕ0,    Then the signal is called a logarithmic chirp, exponential chirp, or exponentially swept sine. Here, f0 is the frequency at time t0, f1 is the frequency at time t1, and ϕ0 is the phase at time t0, where    t1 > t0, f1 ̸= f0, and f1f0 > 0   The frequency of a chirp at time t is f(t) = dϕ/ dt .   What would the frequency of a logarithmic chirp as a function of time t and show that the frequency strictly increases for t0 < t < t1 when f1 > f0 and strictly decreases for t0 < t < t1 when f1 < f0.?   Thank you for the help.

An expression of a current in the time domain is: i(t)=100sin(wt+45deg),A. Express its phasor in exponential and Cartesian coordinate form.

1a) check whether s=-0.2+j0.937 is on the root locus or not? (Graphically as well as analytically) b) If s=-0.2+j0.937 is on the root locus determine the value of gain K at that point.

What will be the magnitude of the gradient of the function f(x,y,z)=x3+y2+z4at the point M(1,1,1)?

37. "Mathematically, out of phase means that the phase angle of two waves are the different and its phase difference is zero."  True  False "In time domain represenatation of a signal, a signal with an expression of 220 sin (377t -180) is also equal to -220 sin (377t)."  True  False "Phasor domain representation is an ac signal representation considers the time-varying nature of the signal, specifically its sinusoidal form."  True  False In time domain represenatation of a signal, a signal with an expression of 220 sin (377t -90) is also equal to +220 cos (377t)."  True  False

Please plot Root Locus for G(S)=[7/S^2]. . please proper hand written Sketch.Other wise ready for Downvote.

Two parter- Using this form how would I derive Lasas, Lasbs, Larbr, Lasbr, Larar, when g is constant I know Lasar is W_as and W_ar into the first equation, I am also thinking Lasas is W_x=W_as and W_y =W_as in the first equation. Part B where does the theta come from.