Timeline for Are there any "related rates" calculus problems that don't feel contrived?
Current License: CC BY-SA 3.0
6 events
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| Jul 15 at 7:50 | comment | added | Peter LeFanu Lumsdaine | @JimConant: I didn’t see the answer coming, but in hindsight it’s easy to justify without any calculus — e.g. by thinking of the similar triangles involved, the ratio (shadow head width : head width) will be equal to (lamp height above ground : lamp height above head), and so independent of horizontal position. (Which can go well into a student problem: (a) find the rate of change using related rates; (b) find an alternative geometric explanation for the answer to (a)). | |
| Nov 21, 2016 at 14:54 | comment | added | Jim Conant | @JackOfAll you mean besides me? | |
| Nov 21, 2016 at 14:26 | comment | added | JackOfAll | Anyone ever work this one out? | |
| Oct 29, 2014 at 11:55 | comment | added | Jim Conant | I don't know if it's obvious or nobody was motivated to work though the example, but the surprising thing to me is that the width of the shadow doesn't change! | |
| S Oct 27, 2014 at 22:20 | history | answered | Jim Conant | CC BY-SA 3.0 | |
| S Oct 27, 2014 at 22:20 | history | made wiki | Post Made Community Wiki by Jim Conant |