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Aunt Dora Baggins
Halfelven
Mar 15 2007, 9:23pm
Views: 228
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It doesn't happen very often,

Can't Post


but sometimes my math books have problems in them that really make me laugh. Here's one I found while preparing tomorrow's lecture: (Referring to the limaçon r = 1 + sin q) From Figure 18 it appears that the limaçon loses its dimple when c = 1/2. Prove this. (James Stewart Calculus 5th ed. section 11.3 problem 53b) Here's one that's made me laugh for the past 20 years: Consider the set whose only element is the moon. Is this set a vector space under the operations moon + moon = moon and k(moon) = moon for every real number k? Explain your reasoning. (Howard Anton Elementary Linear Algebra 9th ed. section 5.1 problem 27) A couple of word problems: Billy Joe McCallister jumped off the Tallahatchie Bridge, 70 ft above the water, with a bungee cord tied to his legs. If he was 6 ft above the water 2 sec after jumping, when what was the average rate of change of his altitude as the time varied form 0 to 2 sec? (Mark Dugopolski College Algebra 3rd ed. section 2.1 problem 72) And then there's this one, also from the Dugopolski book: The wizard Gandalf is creating a massive crystal ball. To acheive maximum power, the orb must be a perfect solid sphere of clear crystal mounted on a square solid silver base, as shown in the figure. The wizard has determined that the diameter of the sphere must equal the length of the side of hte square base, and the thickness of the base must be p in. Find the exact radius of the sphere if the toatal amount of material used in the sphere and base must be 1296 p cubic inches. If it turns out that the sphere is not powerful enough, Gandalf plans to make the sphere and base of solid dilitheum crystal. For this project the diameter of the sphere must be 2 in. less than the length of the side of the base and the thickness of the base must be 2 in. Find the approximate radius of the sphere if the total volume of material used in the sphere and base must be 5000 cubic inches. (Mark Dugopolski College Algebra 3rd ed. section 3.4 problem "linking concepts.") Dugopolski put a lot of effort into being entertaining, but my students didn't always appreciate it.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ "For DORA BAGGINS in memory of a LONG correspondence, with love from Bilbo; on a large wastebasket. Dora was Drogo's sister, and the eldest surviving female relative of Bilbo and Frodo; she was ninetynine, and had written reams of good advice for more than half a century." ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Chance Meeting at Rivendell: a Tolkien Fanfic and some other stuff I wrote... leleni at hotmail dot com ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



Subject

User

Time

It doesn't happen very often,

Aunt Dora Baggins

Mar 15 2007, 9:23pm

If you have one moon and add it to itself

Draupne

Mar 15 2007, 10:01pm

I think that must be the correct answer.

Aunt Dora Baggins

Mar 15 2007, 10:05pm

Re:

Morwen

Mar 15 2007, 11:00pm

But if the moon is a zero vector

Draupne

Mar 15 2007, 11:27pm

Here are a couple that I've always remembered

Menelwyn

Mar 15 2007, 10:04pm

The dentist thing! ROFL! /

GaladrielTX

Mar 15 2007, 11:06pm

Of course she does

Draupne

Mar 15 2007, 11:32pm

My brother recalls taking a math test once in which a problem began:

Aunt Dora Baggins

Mar 16 2007, 9:18am

I almost didn't respond simply because the work "math" was here

grammaboodawg

Mar 16 2007, 9:30am

Years ago I posted that last question (about Gandalf)

Aunt Dora Baggins

Mar 17 2007, 6:24pm

*chuckle*! But what's scary is

dernwyn

Mar 16 2007, 4:12pm

One big one, of course! {nt}

Advising Elf

Mar 16 2007, 4:45pm

*hee hee!*

Aunt Dora Baggins

Mar 16 2007, 5:03pm

It all depends.

silneldor

Mar 17 2007, 4:14pm



