Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+ 2x,> 2 5х, + х, 2 3 with X,² 0, X,> 0.

Q: Solve: 2x + y + z + x + 2y + Z + X + y + 2z+ y + y+z+ X + x + W= W = 4 W : 5 W 6 W = 7 u + 2w = 8 u…

A: here we have to find the value of 'w'.

Q: Find the point on the line 3x + 6y +2=0 which is closest to the point (2,-2). Answer is

A: Foot of perpendicular

Q: Graph the intersection of x−y3.

A:

Q: Create the equation of a quadratic function that has a vertex (3, 18) and x intercept at (6, 0)

A: Find the value of constants from the given condion gives us the equation.

Q: Find the equation of a line perpendicular to −4x+y=−5 that contains the point (−5,1).

A: We have to find the line perpendicular to y=4x-5 and passing through (-5,1)

Q: b) Plot the quadratic y=-2x² + 8x-8, where 0≤x≤ 4.

A:

Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise  z= 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15 with…

Q: b) Plot the quadratic y=-2x² + 8x-8, where 0 ≤ x ≤ 4.

A: y=-2x2+8x-8

Q: Find the equation of the line that is perpendicular to 2x+3y=4 and goes through the point (2,3). If…

A:

Q: Solve the equation of the line that pass through A (1, 2, 3) and B (4, 5, 6).

A: we have to find the equation of a line passing through the points A (1, 2, 3) and B (4, 5, 6). the…

Q: Solve y + y + 2z + 3 w 1 -a + 2y 3z + 5w = 1 y = 2.

A: