Find x when the least value of `2x^2 + 3y^2` under the conditions `x + y = 2, x>= 0, y >=0` occurs.

Find the least value of (x-2)^2+(y-2)^2 under the condition 3x+4y-2=0.

Find the least value of (x-2)^2+(y-2)^2 under the condition 3x+4y-2=0.

Find the least value of (x-1)^(2) + (y-2)^(2) under the condition 3x+4y -2 = 0.

Find the least value of (x-1)^(2) + (y-2)^(2) under the condition 3x+4y -2 = 0.

Find the least value of (x-1)^(2) + (y-2)^(2) under the condition 3x+4y -2 = 0.

Find the least value of (x-2)^(2)+(y-2)^(2) under the condition 3x+4y-2=0

Find the value of x^2-y+2 if x=0 and y=-1

Find the value of x and y- 2x+3y=0 3x+4y=5

Find the maximum value of x+y subjected to the condition 4x+3y le 12, 2x + 5y le 10, x le 0, x ge 0, y ge 0 .

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .