Solve this by using the Lagrange method 4. Try to derive Land equation For the double...
Using the energy method, try to derive the equation of motion for system shown in the Figure.
Equations of Motion using Lagrange Equation Use Lagranges equations to derive the equations of motion for the system.
a) Solve the following problem using Lagrange multiplier method. Minimize fCX)-x1+ x2+X 4. subject to: x2+x-3 X1+3x2+ 2x)- 7 (1) (2) (Note: Please do not check the second order sufficiency conditions) b) If the right side of the above constraint (1) is changed to 3.4, using sensitivity analysis find the approximate new minimum value of fX). a) Solve the following problem using Lagrange multiplier method. Minimize fCX)-x1+ x2+X 4. subject to: x2+x-3 X1+3x2+ 2x)- 7 (1) (2) (Note: Please do...
1) Derive the 2d order differential equation for the circuit and solve the equation for a natural response and a forced response using initial conditions. Do not use Laplace Transforms. After finding the differential equation, classify the system as critically damped, overdamped, or underdamped and derive the response equation. 12 V 20㏀ 10 mH
please answer step by step Solve the following problem using Lagrange multiplier method: Maximize f(x.y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2-1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above changed to: (3) (4) constraints are 2x-0.9y-z 2 x2+y2-0.9. Solve the...
Problem 4: Sensitivity Analysis (Total 25 points) Consider the following linear program. Solve using the graphical method. A company manufactures two products, A and B. The unit revenues are $5 and $8, respectively. Two raw materials, M1 and M2 are used. The supply of M1 and M2 are 4 and 12 units, respectively. Maximize z= 5x1 + 8x2 Subject to M1 2x1 + x2 <4 3x1 + 6x2 < 12 X1, x2 > 0 M2 a) Changes in Constraint RHS...
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+y2- 1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x -0.9y-z 2 x2+ y2- 0.9. Solve the following problem...
Alpha = 30 Please solve using lagrange method. Find both min and max. min / max {5$y2 +2} such that : (a + 2) r² + 3y2 = 6, where a is equal to the product of the two last digits in your ID. For example :
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2- 1 (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x-0.9y-z =2 x2+y2- 0.9 Solve the following problem using Lagrange...
3. The rigid uniform pendulum of mass m is initially at rest at 0 0. Using Newton's 2nd law, derive the equation of motion and solve for 0 as a function of time. Include the effect of gravity. Assume the rotation is small. Show all work. a k b C Focos(wt) Act Go to 3. The rigid uniform pendulum of mass m is initially at rest at 0 0. Using Newton's 2nd law, derive the equation of motion and solve...