Chapter 7, Problem 33P

DO NOT NEED AI WILL REJECT

5. Sketch the root locus for L(s) = s+10 using rules 1, 2, and 4. For rule 4, you need to s(s+6) find the break-in and break-away points.

S+4 4. Sketch the root locus for L(s) = (s+6) (s+1)2 using rules 1, 2, and 3. For rule 3, you need to find the value of σ and a for the asymptotes. From the root-locus, explain why the closed-loop system is always stable for any choice of the design parameter K in the range 0 < K < ∞o.

2. Consider the following system. K(s+3) (s+4) (s+1)(s+2) Check whether the points below are in the root locus. If the point is in the root locus, then also find what the corresponding gain K. i) ii) -2+j3 -2+1√ √ Hint: First find L(s). Next, in L(s) replace s with the value of the point and then express it in polar format r20 using calculator. The point will be in the root locus if and only if = 180° or odd multiple of 180°. When the point is in the root locus, the corresponding gain K is obtained as K ==

solve and show work

Design and find values. please solve ASAP (it's for practice before an exma, I don't have time)

Can you show why the answer is that for this question using second order differential equations, instead of laplace transforms

2. For each of the following transfer functions, G(s) = Y(s)/U(s), find the differential equation relating the input u(t) to the output y(t). (s+2)(s+3) (a) G(s) = (s+1)(s+4) (s²+0.4s+1.04) (s+3) (b) G(s)= (s2+0.2s+1)(s+2)(s+4)

Don't use ai to answer I will report you answer