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10 8 6 t(s) 1 2 345 67 -1 -6 Figure P2.3 Find the average velocity in the following time intervals. (a) 0 to 5 s (b) 0 to 6 s (c) 2 s to 4 s (d) 4 s o 7 (e) 0 to 8 s m/s m/s m/s m/s m/s
Consider the optimization problem 5-6 5-6 F=(X-I)2 + (X Minimize: Subject to: 2-1) X +X-0.5s 0 a. Write the expression for the augmented Lagrangian using r'p = 1. b. Beginning with λ 1 0 and λ2-0 , perform three iterations of the ALM method. c. Repeat part (b), beginning with λ 1-1 and λ2-1 d. Repeat part (b), beginning with λι--I and λ2--1
Given the following (1) EET (2) ET (3) TIF (4) TF (5) F→ (E) (6) Fņa a + 1) ETF . 1 2 3 55 - - - 56 r2 r4 - . 57 r4 54 . - . - . r2 . E. - - - 54 54 - . . . 6 . 3 5 - - 11 - r157 r11 3 . 13 13 5 . r5 r5 Trace iti$ Stack Input
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LP problem
3:32 No SIM minimize subject to 224 -3i + 2 1.3 1. Illustrate the feasible area of problem (P) 2.) For the problem (P), use the nonnegative variable x3 for inequality constraint 1 and the nonnegative variable x4 for inequality constraint 2 and the nonnegative variable 5 for inequality 3 to Show the equation standard form of the problem (P). (3) Find all feasible basis solutions of the equation standard form of the problem (P)...
11 O-I-1 6 2 3 4. LetA=(1 2 3 4) 5 67 8 15 in Nul)? Explain. a. Is 14 -23 in Nul(A)? Explain. b. Is in Col(A)? Explain. c. Is 10 5. Let A =(2 2 a. Find the characteristic polynomial of A.
Problem 1: Summation of min-terms (2, 4, 6, 9, 11 12) Minimize with a K-map and then correct of any and all potential static Hazards. Show all work. Be neat!
MATLAB code. Open loop TF D(s) Matlab Code: a=conv([1 0], [1 1]) b=conv([1 5], [1 10]) D=conv(a,b) N=1 sys=tf(N, D) rlocus(sys) roots([4 16*3 65*2 50]) OUTPUT Matlab: a = 1 1 0 b = 1 15 50 D = 1 16 65 50 0 N = 1 sys = 1 ---------------------------- s^4 + 16 s^3 + 65 s^2 + 50 s Continuous-time transfer function. ans = -8.2399 -3.3005 -0.4596 Question: How to change this code to closed loop TF with:...
8. Minimize z - 8x1 + 6x2 + 11x3 subject to 5x1 x2 + 3x3 s 4 5x1 + x2 + 3x3 2 2 2x, + 4x2 + 7x3 s.5 2x1 + 4x2 + 7x3 2 3 X1 + X2 + X3 = 1 (a) State the dual problem. (b) Solve both the primal and the dual problem with any method that works. (c) Check that your optimal solutions are correct by verifying they are feasible and the primal and...
Q 2 (c) Let S be the set of matrices of the form A = a, a T ag arbitrosy where are real numbers. Show there exists a unique matrix E in s such that АЕА o in S. for all Marks ((1+3+37 +(2+3 + 8) = 20 Marks) MATH 2118 Online Class Exercise I Qla) Sketch the surface s defined by the equation z = =9-6tty! (6) Determine the equation of the tongent plane to the surface s given...
TF= 0.033 / ( 1.6*10^(-7) *s +4.04*10^(-4) *s + 1.109*10^(-2) ) For unity feedback with P-Controller, solve the TF, find the value of K for a stable system using Root Locus and Routh-Hurwitz stability criterion.