Friday, February 12, 2010

Epic calculus question. only a true genius can tackle it.?

For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 200 feet high. You are standing by a window 100 feet above the ground and 150 feet away from the hotel, and the elevator descends at a constant speed of 30 ft/sec, starting at time t = 0, where t is time in seconds. Let 胃 be the angle between the line of your horizon and your line of sight to the elevator.http://www.webassign.net/userimages/66603?db=v4net


(a) Find a formula for h(t), the elevator's height above the ground as it descends from the top of the hotel.


(b) Using your answer to part (a), express 胃 as a function of time t. Remember to use atan for arctan.


Find the rate of change of 胃 with respect to t.


(c) The rate of change of 胃 is a measure of how fast the elevator appears to you to be moving. At what time does the elevator appear to be moving fastest?


At what height does the elevator appear to be moving fastest?Epic calculus question. only a true genius can tackle it.?
Okay





(a) h(t) = 200 - 30 t





(b) tan 胃 = (200 - 30 t) / 150 = 4/3 - 1/5 t


=====%26gt; 胃 = atan ( 4/3 - 1/5 t )





d胃/dt = 1 / [ (4/3 - 1/5 t)^2 + 1 ] * (-1/5)





now maximize d胃/dt





d胃/dt = -1 / [ 5 ((4/3 - t/5)^2 + 1) ]





d(d胃/dt) / dt = [5 (4/3-t/5)^2 + 1]^(-2) * (2 (4/3 - t/5) (-1/5)





set = 0 4/3 - t/5 = 0


t/5 = 4/3


t = 20/3


time fastest is 20/3


the height is h(20/3) = 200 - 30(20/3) = 200 - 200 = 0





AT THE END?? height is zero????


mmmm?

LIFE/RELATIONSHIP QUESTION (NEED HONEST,TRUE HELP)?

hello everyone.





ok, well i have a problem and I am in need of some help, someone with expierence in this field. im young, with a good head on my shoulders. i live with my mother and am currently in school still. well since this is a relationship/life issue, i should just get to it.





i am with this boy, and my mom has no knowledge of it. the only reason i didnt tell her, is because we are of the opposite race. my mom believes in with the whole ';keep it withing your race'; thing, but i believe differently. our relationship is wonderful, and even though we hide it, we get along and have alot of stuff in common (not to mention we love eachother very much) i knoe alot of people are gonna think ';its just that sappy teenage love'; but we believe its real love. well, his patents are tough, hes not allowed to date at all until hes 19-20. and it just seems like were both screwed. now we have gotten into serious talk about moving out, and starting our life together. but with our parents in the way, its hard. we cant figure out a plan to make both of our parents happy; but we dont want to please our parents, we believe that we should be able to be happy together without pleasibg anyone. now knowing my mom she will shun me when she finds out, and i know i want to be with him for an extremly long time. we just need advice on the parents, ad the moving out part. we have no clue what to do about it. PLEASE HELP US!LIFE/RELATIONSHIP QUESTION (NEED HONEST,TRUE HELP)?
Realistically so long as you remain financially dependent upon your respective parents, it is going to be extremely difficult to just ignore their opinions, no matter how biased they may be. The bummer of the reality is that money does offer a large degree of control.





If you and your b/f really want to be together - you need to come up with a plan for legally being financially free from either set of parents. If you're both young and uneducated, that will be all the more difficult. You need to do some serious soul searching as to whether ';your love'; will get you through YEARS of a low quality of life. I'm not saying it will or won't, but you guys need to go into this eyes wide open. Two under educated people working minimum wage jobs to pay for a shared room in a house somewhere while eating ramen. The bad news - you're going to need to get school and training whilst working these crud jobs for years and years (plan 4 - 6 years). The good news - you're FREE. You do what you want, when you want it and your parents opinions don't matter.





I'm always a fan of going your own way, but be very cognizant of the prices you'll have to pay.





Very best of luck!LIFE/RELATIONSHIP QUESTION (NEED HONEST,TRUE HELP)?
I think your relationship will be a lot healthier when it's out in the open. It can't be fun trying to hide it all the time! I say just come out with it. Your parents will have to get over it eventually and maybe if they see you guys together they will actually appreciate that you are in love. Good luck!!
Well, you need to do what will make you happy, since it IS your life. And then if children come along that may bring them around cause all grandparents want to spoil their grandchildren.
This is what I think that you should do. You talk to your mother about this and just tell her that he is your friend and get her to like him. She has to earn both of you guys trust you don't want to jump in and tell her look mom this is my boyfriend and I love him No you have to introduce him with a couple of other Friends to your mother. Well as for him do the same thing just don't tell his parent's that you're his girlfriend wait until you guys are 18 then they don't have no say so in who you date. They may not like it but, there won't be anything they can do about it. About you guys moving out together not a good idea yet wait until you guys are 18, have jobs and have a little money put away. Because it is not easy to just move in together and not have your priorities straight. You have to have the money for a place and a way to get around. You want to be self dependent of yourselves and not your parents you have to be on the right track at least finish high school. Make sure it's going to work out with you both before you jump into it. I have been trough this before trust me I know what it is like.
Don't move out - you're both younger than 19 apparently, so you're too young to have to deal with the pressures of that kind of situation. Real life of that nature is harder than it looks. You both need time to mature. It sounds like he can't date anyone of any race until he's 19 or 20, so you need to keep his parents out of the equation for now. I'd start with your mother, by exploring with her hypothetical questions like, ';If I were to fall in love with a xxxxx boy (whatever race he is), how would you feel about that?'; or ';Wouldn't it be better to have a good relationship with a xxxx boy than to have a bad relationship with a xxxx one (whatever your race is)?'; Maybe if you get her used to the idea, then you can introduce him into the situation and then she'll be used to it before you have to start on his parents, who you don't say if they're opposed to interracial dating or not, so I can't comment on that. Good luck on it - it's not an easy road.
Your situation really made me feel sad, because I go through a similar problem. My boyfriend is half Mexican half white, but looks white. I'm Mediterranean and my parents are very true to the ';stay with your race'; bit. The part that sucks is that they love him and know we are together, but if they knew he was half Mexican, they would instantly change their views on him. It broke us up for a while because it hurt him that he couldn't be accepted for who he is, so my advice to you is to talk to your boyfriend.





Sit down, ask if this would affect the future, because it might be ok now, but eventually keeping stuff like that under wraps can hurt someone. Hell, its hurting you that you felt the need to ask advice. Do what you feel is reasonable.





I will come back to this question later, if you wanna talk to me personally, tell me.
Youu've left out the most essential information: How old are you?





If you're far from being 18, then there's not a lot you can do about this but wait until you're old enough to leave your parents' home; if you're nearly 18, then you don't have long to wait.





You'll need income suffiencient for a household; you're both better off if you go to college (Community College is cheap, for the first two years).





You also need to decide whether you care about displeasing your parents or not -- you say you do and that you don't. You'll each need to pick one.
Well.... one thing you need to keep in mind that family is always going to be there.... you are young and I know you prob hear this alot but Its true. You go through phases in your life.... you change. You are too young right now with too much going on to know exactly what you want in your future. Just take things day by day and talk to your mom... let her know how you feel and see if there is anyway to solve the problem with her that way. I hope this helped. =/

Light years question is it true some things we look at are light years away and intresting ques about planets?

1.Could we see other galaxies that are light years away.with the naked eye.





2.could we move solar system were is the nearest solar system.we have technology now to heat the earth don't we.





3.If europa is a moon how can it harbour life.





4.do you hope their is life out there.





5.scientist say the key of life is water maybe that is only the Case for all the species living on the earth.Could that be possible we do not know some things may not eat at all.





4.how long will it take us to get to Europa in human years im not good with light years, when i was younger i thought build a space craft big enough for a million give them a bible and tell them to reproduce and there Mission is to get to i do not know you decide could we do this.





sorry about ppunctuationand grammar i had to rush out but really wanted your aanswersLight years question is it true some things we look at are light years away and intresting ques about planets?
1. Yes, the Andromeda Galaxy is visible to the naked eye.


2. No, we humans do not have the technology to heat the earth enough to sustain life. Also, the sun's light is a MAJOR factor in our survival. The farther away from it we are, the harder it is to live.


3. Europa is suspected to have vast oceans of liquid water below it's frozen surface, and since water is a key molecule of life (as we know it), there is a good chance that life has been able to make a footing within those vast oceans.


4a. Yes. If we are the only ones, it sure would be a waste of space - Carl Sagan


5. Yes, water is a key to life, again, as we know it. Since this is all we know, we can only speculate on to other forms of possible life.


4b. With a large chemically fueled rocket, the journey to the Jupiter system (where Europe resides) would take from 1 to 2 years (one way).





I hope this helps. Good luck.





EDIT: right now, no one knows if there is any solid land on Europa (unless you consider the frozen surface land). There are several proposals to NASA and ESA to send probes to Europa and find out. Problem is, getting through all that ice and not contaminating the oceans with microbes the probe has brought with it. Eventually, a craft will be send and many questions will be answered. And as with all new discoveries, each answer causes hundreds of new questions. I love science! :)





EDIT#2: No, Europe is not more massive than Earth. Send me an email and I can answer your questions more directly. :)Light years question is it true some things we look at are light years away and intresting ques about planets?
Just to add to Floid's answer. There is one galaxy that is visible to the naked eye, Andromeda. It looks like a fuzzy star and you need to be away from light pollution to see it. All the other galaxies are too far away to see without a telescope. One of the great things about Hubble telescope is how many new galaxies it has seen.
1. Technically, no. You can see Andromeda but only in the middle of nowhere so you don't have any light pollution, on a very clear day. Its a very tiny fuzzy dot in the Andromeda constellation. Its not just light years away, its Millions of light years away.





There are these little galaxies right by us but i would consider them part of ours considering were swallowing them up.





The billions and billions of other galaxies though we can not see. 1 (or 4 if you count ours, and the 2 were swallowing), on a clear night in places not many people live, is not enough for me to say that you can see them.





2. No we couldnt move the solar system. I doubt we would ever be able to. Im sure by the time we would figure out how to move just Earth, we would have the technology then but we dont have that now either. But really, that would be way too much work for little gain.





3. Moons can still harbor life, they are just like little planets. An asteroid can still harbor life if it had the right stuff on it. From what we know now, all life needs to stay around is liquid water, and some way to get energy i.e. food.





4. Yes very much so. And I do hope they can come to see us someday. We could learn so much.





5. Yes we could be wrong about that but, this is what we have seen so far. Until we see a life-force that does not need it, we can't say that they don't. We didn't think life would be able to survive deep deep down in the ocean until we saw it. And if flourishes down there.





6. It would take a while. Right now we have to use other planets gravity to get to further places. It saves fuel and gives you a boost while you do it. It took Galileo spacecraft 6 years to do it that way. The New Horizons spacecraft on its way to Pluto did it in a little over a year. It depends on how fast we can make the ship go.





We don't measure things in our solar system in light years. Light leaves our solar system in less than a year so its pointless to do that. We only measure things far away with them.





Your additions:





We wont have a person on it for a very long time. Were still trying to convince people its a good idea to send someone to Mars, let alone all the way out to Jupiter. Travel to and from Mars has to become a normal thing before we can think about sending someone all the way out there, sadly. I would love for it to happen as well.





7. Europa has a large layer of ice on it. The oceans are deep below it. Miles below it in fact. That is one of the problems; we have to figure out a way to land something on there, then get it to melt all the way through the ice. One day we will though.





Europa is much smaller than earth. Its about 25% the size of Earth.





Yes, the further out something is, the further in the past you are seeing it because light, as fast as it is, is still slow compared to the vast distances in the universe. It takes 8 min from the light that leaves the sun, to reach us.
1. not where i live b/c light pollution


2. andromeda is closest neighboring galaxy - 2.5 million light-years away


3. just because it's a moon doesn't mean it can't be any different than a normal planet - just it will be caught in an orbit around another planet opposed to orbiting the star, europa is strange because of it's large crevasses , which they think water once was present, thus potential for life


4. i hope so, but i hope they stay away from us... we (humans) are only interested in benefiting ourselves, we will exploit them...


5. that is true, a lot of scientist believe that the key is water, but they are only looking for what they know...which is earth-like life... this does not mean that the life forms we could find in space couldnt be a non-carbon based lifeform...


4. you dont know how to add by 1? this should be question number 6...








EDIT:


in response to your addition... what we have found here on earth is that life is very resilliant and adapts to almost any environment - take the deep water hot spots, where those worms live off the methane and other lethal chemicals that would be harmful to many other species... i dont think a planet like ours is required for life to thrive
1.) Yes





2.) Possibly... I don't know offhand what the closest planet out of our solar system is, I am sure you can find that out easily though yahoo or google.





3.) Who said a moon can't have life?





4.) I don't really care.





5.) Well, depends on your definition of ';eat';. Any life form must have an outside source of energy it uses... this may not be something it ';eats'; as in chews up and swallows, but it does have to ';eat'; as in get energy from outside itself somehow.





(the second) 4.) Depends on how fast the space craft can go and how far Europa is away.

Can you think of any true/false questions i can put in a quiz about happenings in 2008 celebrity news?

not at the moment,,
  • view myspace
  • A question for all you true Charmed lovers.?

    In the espiod with the spider deamon, what did Leo say to Chris? I remember him saying '; did I miss a school play, or take you favorite toy, or...'; What else did he say?A question for all you true Charmed lovers.?
    he said did I miss a school play, did I take away you favorite toy, did I play favorites with WyattA question for all you true Charmed lovers.?
    What else happend on the episode I can find it if I have more details.








    well here is a list of episodes at least. =)


    http://www.imdb.com/title/tt0158552/epis鈥?/a>

    I was just wondering, why do *some* Christians on here address their questions to ';True Christians';?

    I mean, are they worried that False Christians are gonna answer lol?





    If they just say ';Christians';, that's sufficient for me (an atheist) to not wanna answer it...I was just wondering, why do *some* Christians on here address their questions to ';True Christians';?
    Obviously they're truly from Scotland.





    http://en.wikipedia.org/wiki/No_true_Sco鈥?/a>I was just wondering, why do *some* Christians on here address their questions to ';True Christians';?
    Because Christians are annoying and think they are better than everyone, just like ';true fans of music,'; like the kind of people who think they are better than others because they have listened to a band for a long time or something, it goes the same with Christians.
    some people are luke warm %26amp;%26amp; Jesus says that he would rather you either Hot or Cold; some people would like to have their cake and eat it too but that's not possible...they're in the wrong; so to answer question people are either Christians are they aren't...PERIOD.
    Probably because they're insecure with their own spirituality and they want other Christians like PCS (VenomFangX on Youtube) to quote them sentiments of the Bible as proof and reassurance to counteract their own disbelief.





    Oh well.
    I don't know, anyone who believes they are a Christian believes they are a true Christian, even those who are in cults, go figure.
    Actually putting 'Christians ' at the begining of a question attracks more atheist trolls than a regular question.
    It means they only want lip service from those who share the same particular version of delusion.
    There are always wolves among the sheep! Sufficient enough Mr. Wolf?
    There are many people who claim to be christians and r not
    I know theyre only for true ones but I like to answer too.
    self righteousness.


    When are we going to learn that we are all the same. We will all end up in the same condition---dead.
    Some probably feel like if you are not there level of God then you can't understand them.
    For the same reason SOME atheists point their questions to True Christians.....
    There are a lot of fake believers. Where have you been?

    Is it true their going to Axe yahoo question/answers, in the middle of the year because of a Major change to?

    the yahoo structor.also heard 360 is going to be scraped.Is it true their going to Axe yahoo question/answers, in the middle of the year because of a Major change to?
    360..probably


    but answers....not a chance. It doesn't make business sense, they'd lose millions of hits every day if they did.Is it true their going to Axe yahoo question/answers, in the middle of the year because of a Major change to?
    No of course not... this Q/A site brings millions of visitors to their webpage, why would it make any sense for them to get rid of it?
    I haven't heard of that, but I hope not! I love YA!
    Noooooooooo!!! Where will I go? What will I do?
    Not heard anything
    maybe owell meh who cares really but yea it would be a pretty stupid move tho
    360 IS going to shut down, I'm not sure about the rest.





    http://answers.yahoo.com/question/index;鈥?/a>
    NO





    Yet another rehash of this old story doing the rounds





    360 IS going though
    im of two minds on that. I dont know if this is true though
    i heard about 360, dont care i like myspace better but i hope they dont cut this off. if they do i hope i make it to the last level first.