1. Maple: Intersection of two functions (Re: Intersection)

Well, it's not quite our task here to help with homework ... :-) That

said, I assume that you are aware of the strange behaviour of exp(1/x)

near x=0 (that can be understood better if one looks at the complex exp

function exp(1/z)). First thing you should do is to make a plot in order

to locate the intersection. Running the command

Maple> plot({exp(1/x), 4*sin(x)/x}, x=-10..10, view=[-10..10,-5..5],

discont=true)

on Maple V, rel. 5, I first had strange problems ("Plotting error,

non-numeric vertex definition"). Splitting the x-range into [-10..0] and

[0..10] had the effect that the first one (neg. arguments) could be

plotted, but not the second one; you have to stay away sufficiently far

from x=0 (x=0.002 works, but not x=0.001). Look at the plots, think

about the long-time behaviour (for x -> - infinity and x -> + infinity)

of both functions, then you know where to locate the intersection: the

two points you see are the only ones. Instead of the command

"fsolve({exp(1/x), 4*sin(x)/x}, {x,y})", you should perhaps rather use

"fsolve(exp(1/x) - 4*sin(x)/x, x,)": that gives you the positive x-value

for intersection. To find the negative one, specify the x-range.

Hope that helps

Gottfried Barthel

Cross-posting to the Maple-specific group comp.soft-sys.math.maple

2. You're in Serious Trouble - a 0ieuc nheycr 62km52

3. Spatial Analyst: symbolizing floating point grids

4. Installation problem

5. arcview: spatial analyst: convert grid to image tool?

6. Enumerating contents of directories on a path

7. Grids/ArcView 3.1/ Spatial Analyst 1.1/ Win 98

8. SW98 FireGL1000 Win95

9. Grid to DEM with Spatial Analyst?

10. Finding intersections using two NAVs when HSI in use

11. intersection/union of two polygons

12. Intersections of two sets of contours