Originally Posted by

**wkn0524** Here the question is:

Two bugs are walking along lines in 3-space. At time t bug 1 is at the point (x; y; z) on the line

x = 4 - t; y = 1 - t; z = 2 + t

and at the same time t bug 2 is at the point (x, y, z) on the line

x = t; y = 1 + t; z = 1 + 2t

Assume that the distance is in centimeters and that the time is in minutes.

(a) Find the distance between the bugs at time t = 0.

(b) Use a graphing utility to graph the distance between the bugs as a function of time from t = 0 to t = 5.

Please print out a copy of your graph. [You may use an online graphing program, or you can also use

the virtual TI on your computer, and save the image of your plot by right clicking on the graph and

choosing Take Screenshot and choosing LCD only, black/white (BMP)]

(c) What does the graph tell you about the distance between the bugs?

(d) How close do the bugs get? (Please be exact.)

My problem was i stucking at this question part c and d.

The answer for question part a and b,

a)When t=0

Distance between the bugs = 4.123 cm

b) when t= 1, Distance=2.236cm

when t=2, distance = 2.236cm **<<<<<<**

when t=3, distance = 4.123cm **<<<<<< typo: The distances should be shifted one step up**

when t=4, distance = 6.403cm **<<<<<<**

when t=5, distance = 8.775cm