we are supposed to answer only first question
Solve system of equations: -7.2x+3.4y=-4.2 5.1x-6.3y=-8.7
Consider R4 as an inner product space with the following inner product : < (a,b,c,d), (e, f, g, h) >= ae + bf + .cg + gdh. Determine all the vectors orthgonal to both (1, 2, 8, 8) and (0,0,4, -8) in this inner product space. Hint: To do this take a general element from R4 and calculate its inner product with both these vectors separately. This should result in a system of two equations which you can then solve.
8. Solve the following system of differential equations. * = 4y+e' d = 4x-é dy
(8pts) Determine if {e*, e 2x} form a basis for the solution space of the differential equation y” – 4y = 0 .[Do not solve the equation]
Can someone please explain how to solve the problem below? 6. State Space Systems: a. (5 pts) Determine the state space system in controllable canonical form that implements the transfer function Y(s)_ 252 +5 U(s) s+4s+7s +12 b. (10 pts) For the state space system given below, design a controller u =-Kx+v such that the eigenvalues of the closed loop system are -10, – 20. To 17 , y = Cx C = [25] x = Ax+Bu with A= ln...
write out the system of equations that will solve for the reaction at O and the tension in three cables (AC, BD and BE). you dont have to solve the problem, but you should generate 6 equations with 6 unknows. show your work please. Write out the system of equations that will solve for the reaction at and the tension in the three cables (AC, BD, and BE). You do not have to solve the equations, but you should generate...
\ THIS ASSIGNMENT CON TRIBUTES TO YOUR COURSE MARK. Q kN L m P kN P kN Given the forces P 4 and Q 4.2 KN and the height L 6 m: 4m 8 m 8 m 4 m How many zero force members are in this truss? Determine the forces in each member of the truss shown belovw THIS ASSIGNMENT CON TRIBUTES TO YOUR COURSE MARK. Q kN L m P kN P kN Given the forces P 4...
1. Determine if each solution is acidic, basic, or neutral. a) [H,0+1=1x10-SM:[OH-]=1x10-'M b) [H,0"]=1x10M;[OH-]=1x10-8 M c) [H,0*3=1x10-'M;[OH-]=1x10-?M 2. Calculate [H,0*1 given [OH') in each aqueous solution and classify each solution as acidic or basic. a) [OH"]=2.7x10-12 M b) [OH-]=2.5x10-?M c) [OH-]=3.3x10-4M
SPACE TRUSSES: Find the Force in each Member: N с ZB D 6 m A E,= 17 KN E 6 m 3 m 3 m у
PLEASE SOLVE USING MATLAB As shown, two weights are in state of static equilibrium, hanging from three strings of known lengths. Write 6 equations and solve them in MATLAB to determine the angles (0,, θ2,93) and tensions (T. T2, T3) of the strings. Hint: We can write 4 equations of equilibrium based on F 0and Fy- 0 for each mass. Two more equations are obtained by writing the displacement compatibility relations L1 cos(01)+L2cos(02) +Lacos(03) 8 L1 sin(θ 1 ) 0...