) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.)
A window is to be built in the shape of a rectangle surmounted by an isosceles triangle. The area of the window must be 6m2. Use Lagrange Multipliers to find the width and height of the rectangle for which the perimeter of the window will be as small as possible. (Clarifications: (1) A rectangle surmounted by a triangle has the shape of a stick drawing of a house as might be drawn by a child, a rectangle with a triangle on top. (2) The window's perimeter is made up of three sides of the rectangle and the two e

Question

) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.)
A window is to be built in the shape of a rectangle surmounted by an isosceles triangle. The area of the window must be 6m2. Use Lagrange Multipliers to find the width and height of the rectangle for which the perimeter of the window will be as small as possible. (Clarifications: (1) A rectangle surmounted by a triangle has the shape of a stick drawing of a house as might be drawn by a child, a rectangle with a triangle on top. (2) The window's perimeter is made up of three sides of the rectangle and the two e