Three containers measure 3, 5, and 8 quarts respectively. The first two are empty and the last is filled with wine. By pouring the wine from one container to ...
How do you call the figure that a point makes when you place the point on a circle and then roll the circle? Is there any formula to draw this figure?...
1851
minismurf
Oct 1, 2000 7:39 pm
Cycloid, see <a href=http://mathworld.wolfram.com/Cycloid.html target=new>http://mathworld.wolfram.com/Cycloid.html</a><br><br>/cjr...
1852
javatiffy
Oct 1, 2000 7:45 pm
I think you are talking about a cycloid. I've gone ahead and added a picture in the photos section so you can see what I am talking about. The parametric...
1853
bqllpd
Oct 1, 2000 8:36 pm
It's called a cycloid if the surface is a plane, otherwise if the surface is a circloid, then the curve is called an epicycloid. Solutions are posted on the...
1854
bqllpd
Oct 1, 2000 9:03 pm
1'st of all, go play kick the can with the 3 gallon container. 2) If the original container is not a cilandar then skip step 4.<br>5) GET a container that ...
1855
bqllpd
Oct 1, 2000 9:19 pm
How would you plot a Fermat-like point in 3 dimensions of m equal masses? <br><br>2) Since the simplest of objects in M dimesional space consists of M + 1 ...
It's called a big twirly thing, but it looks like a bumpy road, or a view, from their feet, of ladies lying down....
1858
adh_math
Oct 2, 2000 5:55 pm
Let K be a compact, convex body in R^3. Assume the boundary of K is piecewise smooth (C^1, say), and let c be the center of mass of K. For such a set, one can...
1859
adh_math
Oct 3, 2000 1:40 am
Let K be a compact, convex body in R^3. Assume the boundary of K is piecewise smooth (C^1, say), and let c be the center of mass of K. For such a set, one can...
1860
dalibor_lukas
Oct 3, 2000 6:09 am
How is the average through all the projectional areas defined ?<br><br>Could it be the following fraction (written in LaTeX convence) ?<br><br>p_{avg} := ...
1861
adh_math
Oct 3, 2000 6:33 pm
Yes, that seems to be the definition. Generally, if N is the unit sphere in R^3 with "area element" dA, and f:N\to R is an integrable function, then<br>f_{avg}...
1862
video_ranger
Oct 3, 2000 6:44 pm
After looking at the extreme examples of a sphere and a disc, (or in two dimensions a circle and line segment) which appear to have the same ratio, I'll say ...
1863
video_ranger
Oct 3, 2000 7:06 pm
Oops - sorry forget that answer...
1864
bqllpd
Oct 4, 2000 1:43 am
If you go to <a href=http://cedar.evansville.edu/~ck6/tcenters/trilin.html target=new>http://cedar.evansville.edu/~ck6/tcenters/trilin.html</a> you'll get some...
1865
aledaniel
Oct 4, 2000 3:41 am
Usually there are 1, 5, 10, 25 and 50 cents coins. This values ensure the change for any value needed with a few coins. <br>The question is: Is this set of...
1866
abhisaha
Oct 4, 2000 4:44 am
If we need a 99 cent change we will need 8 coins(1+1+1+1+10+10+25+50).If however the available coins are 1,2,4,8,16,32,64 then any change from 1 to 100 cents...
1867
dalibor_lukas
Oct 4, 2000 6:19 am
A criterion for the optimality of that combination seems to be an average of the minimal number of used coins.<br><br>Supposing that we have 5 kinds of coins...
1868
jason1990
Oct 4, 2000 6:52 am
Let's be practical. No one ever gives out fifty cent pieces....
1869
zero_nothing_0
Oct 4, 2000 5:37 pm
i am ausuming this is all about the problem that i propsoed, i am just asking a problem that is based on FACTORAL, i am asking the total combinations of...
1870
takuma_zenshuuin
takuma_zensh...
Oct 5, 2000 4:17 am
I was flipping through my Calc book when I came across this:<br><br>Let L be any tangent line to the curve <br>x^(1/2) + y^(1/2) = c^(1/2)<br><br>Show that the...
1871
riccad
Oct 5, 2000 1:03 pm
One train goes from A to B at 10 km/h, then it comes back from B to A at 15 km/h. What was its average velocity?<br><br><br>PS: I got it from a German TV show,...
1872
Clooneman
Oct 5, 2000 1:09 pm
No matter the distance from A to B, the answer will always be the same. Therefore, we can handpick whatever number we like as that distance.<br><br>Let the ...
1873
EarlyGenesis
Oct 5, 2000 2:57 pm
the x-intercept is found by setting y to 0... which gives x^(1/2)=c^(1/2), and therefore x=c. Same for y....
1874
EarlyGenesis
Oct 5, 2000 3:02 pm
Not that this would help....
1875
EarlyGenesis
Oct 5, 2000 3:51 pm
If you have 10 minutes, try this:<br><br>We are given : y = [c^(1/2) - x^(1/2)]^2<br><br>dy/dx = f(x) = [x^(1/2) - c^(1/2)]/[x^(1/2)]<br><br>Now, we can write...
1876
EarlyGenesis
Oct 5, 2000 3:54 pm
NOte: This problem is not regarded as solved, so adh_math should please show everyone how clumsy and awkward my idea is! (:...
1877
Clooneman
Oct 5, 2000 5:53 pm
x^1/2 + y^1/2 = c^1/2<br><br>Differentiate with respect to x:<br><br>(1/2)*x^(-1/2) + (1/2)*y^(-1/2).dy/dx = 0, as c is a constant<br><br>1/(2 root x) + [1/(2...
