Stump TIU!

[ThomasIsUnderrated]

OK, everyone else seems to have these threads going, so I thought I'd try my hand at it. Ask me a tricky logic or math question, preferably a somewhat unique one, and I'll do my best to solve it. (Sorry, had to throw in the "somewhat" to piss off DD. :grin: )

[Teenager]

How did you ever get the high score for "Chopper Challenge"?? Man, that game is so HARD!!!

[ThomasIsUnderrated]

How did you ever get the high score for "Chopper Challenge"?? Man, that game is so HARD!!!

Ah, that's a sacred secret! :grin:

[Logic]

1.)

What is the most simplified equivelent preposition of the negation of the following:

(P V Q) -> (((Q -> R) -> (P ^ Q)) V (P-> R))


_________________________________

2.)

Proove that E(sum) from (1 to infinity) of 1/n is divergent.

[Teenager]

Ah, that's a sacred secret! :grin:<!-- / message -->

Awww, c'mon. Yer torturing me!

Anyhoo, what's yer idea un muh speakin'?

[TempestTossed]

1.)

What is the most simplified equivelent preposition of the negation of the following:

(P V Q) -> (((Q -> R) -> (P ^ Q)) V (P-> R))
I have my answer. I put it in invisible text so that I don't spoil it for TIU in case he is insane enough to attempt it. Highlight below to see it.

(P ^ Q) ^ ~R
P and Q have to be true and R has to be false in order for the negation of the given statement to be true.

[ThomasIsUnderrated]

1.)



Yikes, a toughie! I'm not giving up yet, but I'll come back to this one. :grin:

2.)

Proove that E(sum) from (1 to infinity) of 1/n is divergent.

I'm not sure if you want me to prove the integral test too (or if you want a grouping proof), but assuming the validity of the integral test:

1. Corollary of integral test: An infinite series is divergent iff the corresponding integral is infinite

2. Integral of 1/x from 1 to infinity = lim(ln x); 1,h; as h approaches infinity = infinity

3. The integral is infinite

4. The infinite series is divergent.

[Rink]

Hey TIU I borrowed a gaming kids physics question for you to solve he he he



A home run is hit in such a way that the baseball just clears a wall 15 m high located 139 m from home plate. The ball is hit at an angle of 38 degrees to the horizontal, and air resistance is negligible. Assume the ball is hit at a height of 2 m above the ground. The acceleration of gravity is 9.8 m/s^2. What is the initial speed of the ball in m/s?



Can ya solve it?

[Longhorn_Platinum]

:moo: What is the ratio of the apothem to the radius of a regular octagon? Give the answer in simplest radical form.

[Logic]

I have my answer. I put it in invisible text so that I don't spoil it for TIU in case he is insane enough to attempt it. Highlight below to see it.

(P ^ Q) ^ ~R
P and Q have to be true and R has to be false in order for the negation of the given statement to be true.


:) Keep in mind that not everyone has a white background.

One good way to do it is with the spoiler tags. {spoiler}text{/spoiler}
with { = [ and }=]



!((P V Q) -> (((Q -> R) -> (P ^ Q)) V (P-> R)))

reduces to

P^!Q^!R

[Teenager]

TUI, who's your favorite 1st lady?

[Warlady]

I have a question for you. Why is this thread in FWs? :wink:

[MSGT]

Where does a thought come from and how do you trace its path.

[ThomasIsUnderrated]

:moo: What is the ratio of the apothem to the radius of a regular octagon? Give the answer in simplest radical form.

Har, har. But I still must point out that the test didn't indicate that it was at the center, which means there was a correct answer choice on the exam. :moo: :grin:

[ThomasIsUnderrated]

TUI, who's your favorite 1st lady?

Laura Bush

[Teenager]

Laura Bush


Ooooooh, looks like I've stumped the ever-famous Thomas!! :D

Correct answer: Eve!

[Longhorn_Platinum]

ThomasIsUnderrated:
Har, har. But I still must point out that the test didn't indicate that it was at the center, which means there was a correct answer choice on the exam. :moo: :grin:

:moo: Okay, since you've bought yourself a little time to answer, I get to ask a penalty question. What is the formula for finding the areä of a regular dodecagon, given the length of its radius?

[ThomasIsUnderrated]

I think of a regular dodecagon as 12 isosceles triangles. Thus, the total area of the regular dodecagon will be 12 * [1/2 (side)(apothem)].

The sum of the interior angles of a regular dodecagon is 1800 degrees. [From s=180(n-2)] Thus, each triangle has angles of 75,75, and 30. At this point, we can go one of two ways. I'll take the slightly harder path.

When we draw an apothem, we create a right triangle with measurement of 15, 75, and 90, which is quite convenient, because that right triangle has exact trig values.

Thus, half of a side of the reg. do. = sin 15 degrees times r = ((sqrt(6)-sqrt(2))/4)r

The apothem of the reg. do. = cos 15 degrees times r = ((sqrt(6)+sqrt(2)/4)r

Plugging back into our formula we get

A= 12 * [1/2 (2*(((sqrt(6)-sqrt(2))/4)r)) * (((sqrt(6)+sqrt(2))/4)r)]

And finally we have:

A = 3r^2

[Teenager]

TUI, did you google that?

:thumb:

[ThomasIsUnderrated]

TUI, did you google that?

:thumb:

Nope.

:moo:

[Charity]

What is the equation of the oblique asymptote of y equals x squared divided by quantity x minus one?