Family of curves
Geometry
Level
pending
If f(x) = k x x are a family.of curves where k ranges between 1 and 5 . What is longest length of the line that connects the first curve to the last one. It is given that -5 <= x <= 5. Round off your answer to one decimal place.
The answer is 100.5.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The farthest two points are x = -5 , y = 5 25 (on the curve y = 5 x x) and x= 5 , y = 1 25(on the curve y = x*x). The distance between these two points is 100.498 or 100.5 units.