Babbler's Den: October 2007

Wednesday, October 31, 2007

:::|Sweet Jokes™ |::: Maxine

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:::|Sweet Jokes™ |::: Timepass Joke of the day

Timepass Joke

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One guy suddenly got up in a plain and said

"hijack"

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Everybody in the plane put there hands up.

Then suddenly

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Another guy from another side got up and said

"hi...john"

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Next fun ? TRY THIS

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[Math4u] Re: Calculus Help

Hi:

If you draw right triangle, LOY, with legs of length, 1 and 2), you have lighthouse (L), 'opposite point' (O), and your position (Y) as vertices. Now, choose a point, P, on segment(OY) and let x = length of segment OP. Then x = tan(theta), where theta = measure of angle PLO. Moreover, dx/dt = d/dt[tan(theta)] or, dx/dt = sec^2(theta) * d/dt(theta). Because the light makes one revolution per 15 sec, d/dt(theta) = 8pi radians/min. When the light reaches point Y, sec^2(theta) = (sqrt(5))^2 = 5. Therefore, dx/dt = 5 * 8pi = 40pi mi/min.

Regards,

Rich B.

--- In Math4u@yahoogroups.com, "luvmath03" <luvmath03@...> wrote:
>
> I have just a couple of questions that are weirding me out. I think
> I should be able to get them but the unit analysis is confusing me
> more. I am just not really able to form the ininial equations and
> such.
>
> Question 1.
> A lighthouse is 1 mile off shore, due west. You are on the shore 2
> miles north of the point opposite the lighthouse. The light rotates;
> if you see the flash every 15 seconds, how fast is the beam moving
> when it passes you?
>
> I have an answer of 2/2.625 miles/sec but I don't feel its write
> since I feel like I need to use the chain rule (section we are
> in)....How would I set up an equation to relate Theta and x miles?
> when I differentiate I have d(theta)/dt and I would solve for d
> (x)/dt.
>
>
> Question 2.
> A trough is triangular in cross section, an isosceles triangle with
> sides of 12 inches and a top of 10 inches. The trough is 40 inches
> long. How fast is the depth change if you are pumping 1 cubic
> foot/min into the trough. I know the answer will depend upon the
> height of the liquid at an instantaneous time (t). I think I kind of
> have this one but just want to see another thought.
>
> Question 3.
> I am really lost here.
> A light is attached to a 13 in radius bicycle tire, at a point 8
> inches from the center. If Harvey rides the bike at 15 mph, how fast
> is the light moving up and down at its fastest.
>
> I know the light is at a point that is horizontal to the road for the
> fastest up and down point.
>
> Thanks in advance for assistance.
>
> William
>

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[forwards4all] Fwd: [Keralites] WINTER KASHMIR

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Life is a game that everyone should try

at least once!

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[forwards4all] Fwd: [Keralites] You have two cows

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Life is a game that everyone should try

at least once!

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[forwards4all] Good Morning!

Decide to be happy today, to live with what
is yours - your family, your business, your job.

If you can't have what you like, maybe you can like what you have.

Just for today, be kind, cheerful, agreeable,
responsive, caring, and understanding.
be your best, dress your best, talk softly, look
for the bright side of things.

Praise people for
what they do and don't criticize them for what they cannot do.

If someone does something stupid, forgive
and forget.

After all, it's just for one day.

Who knows, it might turn out to be a

good day!

Happy working!

-Ashish Tekchandani

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[forwards4all] Fwd: [FFO] A Boss is Like a Diaper

Note: forwarded message attached.

Life is a game that everyone should try

at least once!

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:::|Sweet Jokes™ |::: Wheels of Life

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:::|Sweet Jokes™ |::: Dinosaur show. (wOw)

Dinosaur show.

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Click here to play

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[forwards4all] Fwd: Indian hell

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DELETE button is history. Unlimited mail storage is just a click away. Go to https://edit.india.yahoo.com/config/eval_register

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