2. [-/2 Points] DETAILS LARCAAPCALC2 13.6.004. MY NOTES ASK YOU Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x, y) = x2 + y2 Constraint: -4x - 6y + 13 = 0 Minimum of f(x, y) = at (x, y) = ( Need Help? Read It Submit Answer 3. [-/2 Points] DETAILS LARCAAPCALC2 13.6.006.MI. MY NOTES ASK YOUR Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x, y) = x2 - y2 Constraint: x - 6y + 70 = 0 Minimum of f(x, y) = at (x, y) = ( Need Help? Read It Watch it Master It 4. [-/2 Points] DETAILS LARCAAPCALC2 13.6.012. MY NOTES ASK YOU Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize ((x, y) = 5x + y Constraint: xy = 45 Minimum of f(x, y) = at (x, y) = ( Need Help? Read It 5. [-/1 Points] DETAILS LARCAAPCALC2 13.6.029. MY NOTES ASK YOU In redecorating an office, the cost for new carpeting is $3 per square foot and the cost of wallpapering a wall is $2 per square foot. Find the dimensions of the largest office that can be redecorated for $2304 (see figure). (Hint: Maximize V = xyz subject to 3xy + 4xz + 4yz = 2304.) (x, y. 2) = ( ft