3. A rectangular room has dimensions 12x12x24. That is, the floor and ceiling and both the side walls are 12x24 and the two end walls a 12x12. In the room there are two ants, a male and a female. The mal ant is on the floor at one of the corners. Now the female has positioned herself to be as far as possible from th male. That is, she has located herself at a point so that the male will take the longest possible time to get to her, given that he has to crawl along the walls, floor or ceiling of the room and will (of course) choose his path so that he gets to the female in the shortest possible time. The question is: where is the female?

3. A rectangular room has dimensions 12x12x24. That is, the floor and ceiling and both the side walls are 12x24 and the two end walls a 12x12. In the room there are two ants, a male and a female. The mal ant is on the floor at one of the corners. Now the female has positioned herself to be as far as possible from th male. That is, she has located herself at a point so that the male will take the longest possible time to get to her, given that he has to crawl along the walls, floor or ceiling of the room and will (of course) choose his path so that he gets to the female in the shortest possible time. The question is: where is the female?

Name: 3. A rectangular room has dimensions 12x12x24. That is, the floorand
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Description: 3. A rectangular room has dimensions 12x12x24. That is, the floorand ceiling and both the side walls are 12x24 and the two end walls are12x12. In the room there are two ants, a male and a female. The maleant is on the floor at one of the corners.Now

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

3. A rectangular room has dimensions 12x12x24. That is, the floor
and ceiling and both the side walls are 12x24 and the two end walls are
12x12. In the room there are two ants, a male and a female. The male
ant is on the floor at one of the corners.
Now the female has positioned herself to be as far as possible from the
male. That is, she has located herself at a point so that the male will
take the longest possible time to get to her, given that he has to craw!
along the walls, floor or ceiling of the room and will (of course) choose
his path so that he gets to the female in the shortest possible time.
• F
The question is: where is the female?
Well there's an obvious answer-the diametrically opposite corner.
That's certainly the point which is farthest from the ant "as the crow
flies." But an ant is not a crow.

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