[color=#9900ff][b]In the applet below, [i]A[/i] and [i]B [/i]are 5 units apart.[/b][/color][br](This distance will change if you move point [i]B[/i], so keep it where it is for now.) [br][br][color=#38761d][b]Slide the green unlabeled slider. [/b][/color][br]What does this imply about the two lines?[br][br]Nonetheless, the goal of this problem is to[b] [color=#9900ff]determine how far (to the left) [i]D[/i] needs to be placed from [i]C[/i][/color] in order to minimize total area enclosed by both triangles.[/b] Even though you can use this applet to obtain an approximate value of this distance, use calculus to [color=#9900ff]determine an [i]exact value[/i] of this approximate distance[/color]. [br][br][color=#9900ff]Retry this problem for [i]AB[/i] = some other distance. [/color] (You can move point [i]B[/i] to make this happen.) [br][br][br][b][color=#9900ff]What if [i]AB[/i] = [i]x[/i] units? [/color][color=#9900ff]Can you find an expression (in terms of [i]x[/i]) for the distance [i]DC[/i] [/color][color=#0000ff]that minimizes the sum of the areas of both triangles? [/color][/b][br][br][br] [br][br][br][br]