Optimization - open top box
Classic Calculus open-top box optimization scenario.
What size of square should you cut from each corner of a rectangle so that when the four sides are folded up, the resulting box has maximum volume?
Use the various controls to determine the size of the rectangle, the size of the cut corners, and the folding of the sides.
A graph may be displayed for the point and/or function curve for volume as a function of cut size.
Zoom: Pinch on touch screen, scroll wheel on mouse. Or click somewhere in the desired graphics view and then Ctrl/cmd + and Ctrl/cmd – on keyboard.
Scale individual axis: Pinch on x- or y-axis on touch screen, or hold Shift and click/drag on x- or y-axis.
"Values" box must be checked to do this in V(x) window.
Pan in 2D view: Click/touch and drag in an empty part of the x-y plane.
Rotate in 3D view: Click/touch and drag.
Fine control of slider: Click slider button, then use keyboard arrows to increment up/down. Hold Shift or Ctrl/cmd while doing this to scale increment down/up.
Full screen: Click/touch icon in lower-right corner of graphics view.