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    Integration using Trig Substitution

    My mistake, you're right. Thanks!
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    Integration using Trig Substitution

    Yes, I'm fairly certain that is a standard integral, and it comes out to: sin^{-1}y + C But I'm also fairly certain that I am supposed to solve this problem using the expression, substitution, and identity when I do the trig sub. Maybe I am overcomplicated the problem and should just stick to...
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    Integration using Trig Substitution

    So I should end up with: \int sec\Theta d\Theta} Correct? then I would get ln \left| sec\Theta+tan\Theta \right| + C
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    Integration using Trig Substitution

    as in changing the bottom from 1 + (sinx)^2 to 1 + y^2 ? I can get to: \int \frac{sec^{2}\Theta d\Theta}{\sqrt{1+tan^{2}\Theta}} But after that it makes no sense, I just get back to the original equation when I sub. again.
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    Integration using Trig Substitution

    Homework Statement \int \frac{cosx dx}{\sqrt{1 + sin^{2}x}} Homework Equations Expression: \sqrt{a^{2} + x^{2}} Substitution: x = a*tan\Theta Identity: 1 + tan^{2}\Theta = sec^{2}\Theta The Attempt at a Solution I have tried using Trig Substitution, but I end up getting an equation much...
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    Trifunction Derivatives problem

    The quotient Rule is: y= u/v y'= [(vu'-uv')/(v^2)] The product Rule is: y= uv y'= (vu'+uv') the chain Rule is: y=u^n y'=(n)(u^n-1)(u')
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    Cannon shoots a projectile

    Heh, this isn't complex at all. In high school, especially since your physics class just started, you won't have air resistance. You should be able to do this easily if you read the material or listen to the teacher in class. Do you have all of your kinematic equations memorized?
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    Horizontal force with a crate at a 27 degree angle

    The problem says at a constant speed, therefore a=0. Also, there is no friction slowing you down. F=ma, a=0, so the net force is zero. You need to find the vertical and horizontal components of the applied force. So F(applied)*cos(27)=F(applied,horizontal), and F(applied)*sin(27)=F(applied...
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    7-11 store and chose three items

    Matt, that made me laugh so hard. Must live in Alberta, Canada, no sales tax there.
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    Bonds? Where are the val. e-'s

    In convalent bonds, when the atoms interact to form the bonds, where do the valence electrons, or clouds, exist. Do the simply loop around them in a chaotic figure eight of sorts, or do the electrons spin inbetween them? Is the realitive location of the the val. e-'s even know? And if the...
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    Time and Atoms: Can they exist without each other

    PhillipF, Antihydrogen is the antimatter counterpart of hydrogen. Whereas the common hydrogen atom is composed of an electron and proton, the antihydrogen atom is made up of a positron and antiproton. There are real no differences with the reaction of matter/time as apposed to antimatter/time.
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    Why I don't believe. Why do you?

    I got quite a laugh out of dcbobo's vague discription of a pseudo-important "thing". We do not care for "beating-around-the-bush", either get to the point, or privately torment yourself. Thanks
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    Memorize periodic table

    Thank you Goku, links are/were helpful I personally came up with, hi-he-lie-be bokay-n-o flu-knee, thats the first 10 small abbv of the main words strung together, it works for me
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    Memorize periodic table

    Does anyone have any interesting or easy ways to memorize the first, oh, 10 to 40 or so elements (only including the names and the abbv.)? thanks
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    Mechanism of Most Chemical Reactions

    I just sent in my 3500 bar codes from my degree-chex cereal boxes, now I'm just waiting for the papers so its official. :)
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    What is the purpose of Life ?

    But if you decide to bond with a lizard and marry it for life, dont blame Enos.
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    Are Asimov's three laws of robotics safe?

    In allowing AI to progress it is essential to also control the progressions infinitely. If you allow something to get "smarter" then you, then you are no longer in control.
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    3-d A thought from 9th grade

    Actually no aychamo, besides the normal 3 spacial dimensions, the other dimensions do not interact of the same level. 4d is time, there is a 4th spacial dimension, but that isnt envolved. Since the other d's dont nessesarially involve "space" or distance, or spacial dimension, it is not correct...
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    Sometimes i feel alien

    The key is to take that out of place feeling and explore its meaning, for lack of a better word, and to craft a way of thought around those experiences.
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    Future development of MBE or nanotechnology

    It would be alot easier to answer your question if you could be alittle more discriptive. Do you just what our opinion on how it will develop?
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    Type 1,2, & 3 Civilizations

    That would be speculation at best, for us to debate that would be pointless. If you ever incounter a Type 3 being, ask him if they have. Not all Type 3 civilizations would technically have to be on the same exact level of technology as another Type 3 civilization. If they have master Planck...
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    Towards a Type 1 Civilisation. How do you want your future?

    Resistance force is the main cause of the initiated forces, if you deal with it that way then you will only breed more aggressors, you cannot force fear on a group of hostiles and not expect for them to retaliate in larger numbers of increased complex views on why they should be forceful.