ender7x77

ya i understand that, but isnt that an Larmark way of thinking. I have to think possible mutations that the Flamingo may undergo to become a flamingo. How did a Flamingo go from a stork looking bird to being able to contort its neck enough that it could inverse its bill in order to trap organisms and filter out the unnecessary. Maybe a mutation could be that something changed in the Flamingos vertebrate that allowed it to put its bill upside down? Another aspect i must consider is what change occurred first: the billed beak or the ability to inverse it? Thanks for the reply.

Wow....we just got this hw question about the evolution of the flamingo and i can honestly say i have no idea of how it occurs...If we were able to explain using Larmarkism then it would be quite easy but i have to explain it through Dwarnism and mutations. I understand the function of its billed beak and why it contorts it neck to inverse its bill in order to filter food. But how did it evole to this oddity? I assume that it started initially as like a stork or heron with a large beak, but it had to undergo some type of isolation, which caused it to evolve or mutate...does anyone of any suggestions?

well i asked her but by that time it was to be handed in and guess what...the question is much simpler than it appears. For those interested, you have to reduce it where you will get a much simpler f to solve and a removable discontinuity of x=-1....i am so upset... Thanks everyone for trying to help me out. It mean't a lot.

Thanks for the encouragement the only problem is that this is an assignment question and its due tomorrow and i have no idea how to do it...Once again i thank u though!!! I guess i'll ask my teacher before class begins

I wish i could just understand this...i wish i could just get math like i use to this is really depressing me...maybe i'm just good for nothing and i show just stick with what im good at and just go to college instead of university...Thanks everyone for trying to help someone brain dead like me.

naw its quite alright i got a graphing program unless it is benefiicial to understand why the shape is weird...so i know that at x=2 there is a turning point but then what becomes of the zeros that i found to be x=0 and x=-1...becasue by the look of the graph nothing significant occurs at those 2 zeros. thanks you are very helpful.

No i dont know of the chain rule...i was taught the quotient rule 2 weeks ago...is it difficult? I'm going to confront my teacher because function is unlike anything we have done. I asked a friend he never even knew how to get the first derivative solved too.

I wish i knew of one and yes finding the second derivative is a pain because one simple error could completely ruin your anwser and it takes forever to find... I got [math]\frac{40x^{9}+40x^8-240x^7-560x^6-440x^5-120x^4}{(x^3+x^2)^4}[/math]....how am i to solvew this? Synthetic Division would take forever.. Damn...by the end when i finally bestow my teacher with this, i am going to have an enormous ulcer.

The thing is that i graphed it and there is only one local extrema at x=2 which is a local maximum (2,5)...so what is the point of finding the second derivative...my teacher said that the first derivative finds the local extrema and the second derivative will find the concavity...i'm confused

ya i did that in my post above yours..i got x=0,2,-1

Thanks a lot! I think GOT IT!!!!! [math]-20x(x-2)(x+1)^2=0[/math]. So i found the zeros to be x=0,2,-1....i found there to be a local minimum at x=0 and a local maximum at x=2.. can someone please explain the significance of the second derivative in regards to interpreting the shape of the function graphed? I just dont really know why it is necessary to find it and when to....should i forthis function? Thanks ............I am so lost now. I graphed the function to find only one turning point

Thanks! I'm going to look more thoroughly at this tomorrow. i don't know what synthetic division is...Anyways i'm not sure if i can even present this to my teacher becasue she is going to know that it is above me. OPPPSSS Sorry about the double post my computer lagged. PS~ If we never have been showed how to solve something like that am I just to assume that it would be acceptable to say that it is unsolvable (word?)

Thanks! I'm going to look more thoroughly at this tomorrow. i don't know what synthetic division...Anyways i'm not sure if i can even present this to my teacher becasue she is going to know that it is above me.

Ya it makes sense but if i cant explain how to get it then i cant use it...the second derivative seems to be unable to be solved also...I think I'm losing my mind, why would the teacher assign a hw question like this...you can't go from [math]\frac{x^{2}+x-6}{(x+2)}[/math] to this. I hate when teachers goes from one side of the spectrum to the other in difficulty.

ya its x= 2, but i need to be able to solve for x in order to get x=2 which i dont know how to do with what you showed me (i've never seen things done that way)....was my second derivative right?

When I set the function to zero and divide out the denominator and factor i get this [math]-20x(x^{3}-3x-2[/math] This to me seems unable to be solved...maybe i am just brain dead right now..Oh and the software i am using is FNGraph and i got from downloads.com

Yeah I'm setting f'(x)=0 to determine whether or not there is a local extrema (local minimum or local maximum), but i do not believe you can solve for x; therefore there is none. So i'm trying to find the concavity (concave up or concave down) in order to get more info on the function in order to graph. EvoN1020v, graphing calculators are a bit expense especially in the case of high school purposes. Also, they can only show me the end result, but i have to be able to explain how i got it. Oh and i downloaded a software that virtually does the same thing...Anyways thanks Ps~ I've seen the function graphed and there is a turning point, but i found no local extrema...i'm confused

Thanks....ya i'm new so i never knew how to do the LaTex System. It is called the quotient rule (we just did it two weeks ago). Now am I right to say that there is no local extrema because I cannot solve for x in the first derivative...If so then i have to find the concavity with the second derivative, which i found to be [math]f''(x)=\frac{-20x^{6}+80x^{5}-60x^{4}-80x^{3}-160x^{2}}{(x^{3}+x^{2})^4}[/math] I'm sorry if I may be coming off as annoying, but my test a few days ago didnt go as well as i hoped for and now I am feeling very dubious in every mathematical endeavour.

hmmm....u two seem very intelligent when it comes to calculus so i was wondering if you could confirm this for me...from f(x)= (20x^2-20)/(x^3+x^2) i got f'(x) = (-20x^4 + 60x^2 + 40x)/(x^3 + x^2)^2 can i assume that there are no local extremas? So i now have found f''(x) to be f''(x)= (-20x^6 + 80x^5 - 60x^4 - 80x^3 - 160x^2)/(x^3 + x^2)^4 How correct am I? I need this info in order to graph the function...i need f''(x) to be correct in order to find concavity and point of inflection. If u could help that would be fantastic

Thanks!!! You really helped me out....Its not that I do not get it, it just i'm finding it hard to know when to use like the first derivative oppose to the initial function or when the second derivative is to be properly used.

Opppss....thanks a lot! For some reason i thought it was since 2000... Ok so i sub in t=1 into the first derivative and get 40/7 as my population growth rate

Thanks a lot! Ok so I get where coming from with setting the first derivative to zero...I missed a few days in class so i was a little confused. I want to find the population growth rate in 2006 so I want to then sub t=6 into the first derivative, which gives me 0.9689 as my population growth rate of 2006 (units?)...is this correct

So I got this HW assignment and i was wondering if anyone could confirm my anwser. Here's the question: The population, in thousands, of Mathville is modeled by the equation P(t) = 20(4t+3)/(2t+5), where t is the time in years since 2005. The question is...what is the population growth rate in 2006. So then I took the formula and found the first derivative, which i found to be 280/(2t+5)^2, and then set the first derivative to equal 0 so i could solve for t. In the end I got 0 = 280. Now i know that doesnt seem right. Can anyone help me? PS- on the following question i concluded that the population will never reach 50000 because there is a horizontal asymptote at y=40; therefore wont reach 40,000. Correct?

Does anyone know why a person;s eyes appear to be sunken after a long illness? I've read that it has to do with dehydration but i need it to be more specific. I need to know what part of the eye causes it to look sunken. I thought, before reading into sunken eyes, that it had to do with the iris, but not sure anymore. If anyone can help me it be greatly appreciated. Oh also is it the frontal portion of the lens where suspensory ligmanets radiate?

thanks a lot...i'm gonna get some sleep cuz i had a long day and try it tomorrow...thanks once again i was beginning to think no one was gonna respond