Natural Definition and 1000 Threads

I had a question on how to find the stoichimoteric coefficient in combustion reaction contains several types of natural gas. Lets say for example: u start with a natural gas (using moral analysis) 0.865CO2 + a0.08C3H8 + b0.02C3H8 c0.035N2 + d(O2 + 3.76) ------> eCO2 + fH20 + gN2; Using...

Are social and natural sciences connected? I would answer yes definitely!

Hi, I was reading "Introduction To Set Theory" by Karel Hrbacek and Thomas Jeck and stuck with some logical trap in the proposition that "(\textbf{N},\prec) is a well ordered set" where \textbf{N} is set of all natural numbers. I will try to present the argument briefly to clarify the...

Homework Statement I have liquid natural gas, or LNG, at -165degrees Celsius. I want to know the total energy required to heat the gas up 50ml to 5 degrees Celsius. Homework Equations Not sure. Im assuming I need information regarding specific heat etc. Heat of vaporization maybe...

My Biology text, Evolutionary Analysis, claims that survival to sexual maturity decreased in C. elegans that originated from a single progenitor and were kept in a benign environment to decrease selective forces. This is cited from a paper by Vassilieva in 2000. My book claims that this...

Homework Statement Proof that for n>2 and n is a natural number it holds that \prod_{k=1}^{n}\frac{k^{2}+2}{k^{2}+1}<3 and \prod_{k=1}^{n}\frac{k^{2}+2}{k^{2}+1}<\frac{3n}{n+1} Homework Equations The Attempt at a Solution My best approach was to split the product over the...

Homework Statement What is the heat transfer from a 60W electric light bulb at 127C to the stagnant air in a room at 27C. Approximate the bulb to a 50mm diameter sphere. What percentage of the power is lost by free convection?Homework Equations Nu=2 + 0.6(Gr^1/4)(Pr^1/3)...

Hi, I'm looking for some help in calculating the amount of force from natural gas exploding. Part of the problem is that it causes a wall from a house to fail first. Area of wall 875 SF. Wall depth .25 ft. I was going to assume the whole wall to be the boundry conditions for the volume that...

My friend edits grade school textbooks and often has science questions. While I pretty much know the answers, I like to get them verified from more reliable sources. This is once such question asked: This was my response: True? I mean is this why Earthquakes are measured as magnitudes...

y''-y'-30y=ln(t) My attempt: i tried to use the method of undetermined coefficients. y''-y'-30y=ln(t) Y(t)=A lnt Y'(t)=A/t Y''(t)= -A/t^2 I also tried: Y(t) = A ln(t) + B 1/t + C 1/t^2 now I am stuck...any help??

Hello I need to calculate the nusselt number for natural gas in a buried pipeline. My question is how to calculate the convective heat transfer co efficient? The data is 220000m3/h, pipe ID 35", gas temperature 100C and ground temperature is 4C, gas SG 0.65, k = 0.037 W/m-K, R= 441 J/kg-K, CP =...

So did it evolve or is it natural, i can think of many acts that would test my faith.

Homework Statement Hello! I am new user on this forum. I have one problem with Algebra. Here it is: For which n \in \mathbb{N}, this fraction is also natural number? \frac{n^2-n+2}{n+1} Homework Equations The Attempt at a Solution I don't have any idea, where to...

Hi, Can someone please help me out and guide me? Homework Statement http://img167.imageshack.us/img167/3892/dscn8321rn1.jpg Homework Equations Shown aboveThe Attempt at a Solution a) f(x) = -2 +ln(x)^2 f'(x)= 2/x Ans: All real numbers except for 0 b) -2 +ln (x)^2 =0 ln(x)^2= 2...

Find y' if y= ln( x^2 + y^2) I thought this was just a regular natural log derivative combined with the chain rule. So what I got was (2x + 2y)/ (x^2 + y^2) But this wasn't the correct answer. So could someone help point out my mistake. Thank you.

Homework Statement Prove that the set of all subsets of the natural numbers is uncountable. Homework Equations All of the countability stuff - including Cantor's diagonal argument The Attempt at a Solution I think I have this one figured out, but I was wondering if somebody would...

I am trying to create esters from natural resins (Copal, amber, dammar, etc.). This is based on chemistry from the first half of the 20th century. The esterified resins were used in making varnishes, before the advent of acrylic and other synthetic resins. To esterify the natural resins, I...

I'm having problems with the work section of my calc book. This is the problem: If 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to stretch from 12 cm to 14 cm, what is the natural length of the spring? I set up two equations: 6 J= Kx^2/2...

Homework Statement Let G and G' be groups. Let H and H' be normal subgroups of G and G' respectively. Let f:G->G' be a group homomorphism. Show that if f(H) is a subset of H', then there exists a natural homomorphism f*:(G/H)->(G'/H'). (Hint: This fact is used constatntly in...

[SOLVED] Larson 4.1.6 Homework Statement Prove that there are infinitely many natural numbers a with the following property: The number n^4+a is not prime for any number n.Homework Equations The Attempt at a Solution I cannot even think of one such natural number a. :( I need to find some way...

Homework Statement \int \frac{1}{1+\sqrt{2x}}dx Homework Equations u=1+\sqrt{2x} \sqrt{2x}=u-1 dx=(u-1)du The Attempt at a Solution I was able to get it down to: \int (1-\frac{1}{u})du = u-\ln{lul}}+C = 1+\sqrt{2x}-\ln{l1+\sqrt{2x}l}+C However, my book says that...

Homework Statement Find the limit of (tanx)^cosx as x-->infinity Rearrange the equation so that you can use L'Hopital's rule for the form of (infinity/infinity) The Attempt at a Solution I did ln(tanx)^cosx = cosxlntanx I know the limit of tanx as x-->infinity is pi/2 the limit of cosx as...

I've got a simple question that's been bugging me for a while. I think I know where the problem is, I'd just like a formal mathematical reason why I can't say this: \ln{(-1)}^2 = \ln(1) = 0 That part is fine...but then: \ln{(-1)}^2 = 2 \ln(-1) = 2 (i \pi) when they should...

Homework Statement The function f is defined for x>2 by f(x)=\ln x+\ln(x-2)-\ln(x^{2}-4) a. Express f(x) in the form of (\ln\frac{x}{x+a}) b. Find an expression for f^{-1}(x) Homework Equations ..The Attempt at a Solution Well, I simplified it to: f(x)=\ln(\frac{x^{2}-2x}{x^{2}-4}) I can't...

Does hydrogen in its ground state occur naturally, ideally, experimentally? Is it stable? Is this like asking, "Does a center of mass occur naturally, ideally, experimentally? Is it stable?"

Homework Statement Let f be the function given by f(x) = ln [ x/ (x-1)] (a) What is the domain of f? (b) What is the value of the derivative of f at x = -1. (c) Write an expression for f^(-1) of x, where f^(-1) denotes the inverse function of f. The Attempt at a Solution a. x / x-1...

http://www.physorg.com/news115220493.html In this context, I think it is important to avoid debate about causes [AGW], and focus on the best means to avoid disasters and respond to the emergencies. San Diego did a fabulous job of managing the fires this year, but many homes were lost. Much...

Homework Statement 1. Let f be the function defined by f(x) = -2 + ln(x^2). a) For what real numbers x is f defined b) Find the zeros of f c) Write an equation for the line tangent to the graph of f at x=1 Homework Equations The Attempt at a Solution a) all...

can someone please explain this to me?

How To Fing Angular and Natural Frequencies WITH ANSYS ?? [FONT="Arial"]Good Day every body, I am student in Ruhr Universität Bochum and I would like to ask please about the procedure how to find Natural and angular frequencies for a simple beam to get the idea fro it and to solve my proble...

Homework Statement e^x - e^-x all divided by 2 = -1 express answer in natural logs Homework Equations No equations, just properties of logs and natural logs The Attempt at a Solution First, I multiplied everything by 2 e^x - e^-x = -2 then i took the natural log of both...

Hi, I've encountered this exercise which I'm having a hard time proving. It goes like this: Prove that if m and n are natural, then the nth root of m is either integer or irrational. Any help would be greatly appreciated. Thanks.

natural frequency of a spring(self-weight only) giving the length,mass, and spring constant of a spring...how do you find the resonance frequency..having been thinking about this question for so long, does anyone know how to approach this question...

So I'm taking an introductory number theory course as an undergraduate, and this particular "genre" of questions really just has me stumped. Pick a prime p such that p is odd. Now, take various sums up of natural numbers from 1 to p, and show that the results are divisible by p. For...

Homework Statement Find y' y=ln(x^2 + y^2) Homework Equations d/dx ln(u)= 1/u du/dx The Attempt at a Solution y' = [1/(x^2 + y^2)] (2x + 2y) y' = (2x+2y)/(x^2 + y^2) But my book says the answer is 2x/(x^2 + y^2 - 2y) How can that be?

Homework Statement I'm supposed to find the voltage v0(t) for t > 0 for the following circuit: http://img516.imageshack.us/img516/5858/circuitta7.jpg Homework Equations The first part of the excercise was to find the current io(t). I did this by using the node-voltage method to find the...

i have this question that i don't totally get what it wants exactly so if anyone can help me understand it correctly, thx Find the natural domain of the function algebraically,and confirm that your result is consistent with the graph produced by your graphing utility. note: set your graphing...

One question which I was meant to be doing has stumped me. It is "Can the basis of natural law be located other than in social convention?". I have written "Aquinas believed the basis of natural law to be located in God’s will and the fundamental nature of humans not being corrupted." so far but...

Homework Statement ln(x^2 + 1 ) -3lnx=ln2 Solve for x. Homework Equations The Attempt at a Solution I used laws of logarithms to simplify it down to -x^2(x-1)=1 . I don't think this is the answer I'm under the impression you need x = for the answer. First I brought the 3...

Hello I'm new to the forum. I was wondering if some people can help me in trying to get some answers. I am involved in alternative fuels and it has come up where an engineer is telling me that there is 185btus/lb inside of a 100 gallon vehiculer tank. He is using a bueauro of standard empathy...

A part of an example on my book goes from the following: e^(lnlnx) > e^0 to (e^lnx)^lnx > e^0 and to ln x > e^0 this last step is what threw me off--shouldn't it be x^lnx instead of ln x on the right side since they are inverse functions. Is anything being done that I have...

Well I came across this when someone asked me this question: (-2)^n = 16 I can clearly see n=4. However, he did this: ln((-2)^n) = ln(16) n*ln(-2) = ln(16) n*ln(2)+n*i*pi = ln(16) How can I show that n=4 from this?

Elephents in thailand heading to high ground before tsunami. Animals acting funny before earthquakes. Etc.

Homework Statement I was given a spring mass system and asked to calculate the natural frequency by theorectical analysis and by using experimental data. There was a difference between the natural frequency calculated theorectically and experimentally. I was asked to discuss the...

Hi Im having difficulty solving for x in this equation. 5=9ln(x+4) I have no idea where to start so i can't show u any working.

I didn't know where to put this since it pertains to both chemistry and biology so i put it here. One time i accedently spilt 31.45% concentrated HCl on my skin and didn't notice it right away but then i saw this fuming drop on my skin and i immediately washed it off, it never tingled, burned...

Natural selection needs the feeling?? Human(at least) has their feelings, such as anger, happiness, and depression, etc. But, is there an advantage for the survival of human being?? why natural selection choose the human being who has feelings?? I thought about this theme at last night...

Problem: If 2^{x}=3, what does 3^x equal? I solved this by taking the log_{2} of both sides. However, the book's solution involves taking the natural log of both sides. Can someone show me why that would work? I don't get what the x power changes to a x term. The natural log is base 10 right?

Homework Statement f(x) = (x+1)/x^2 a)prove that f is bounded in N (N is the set of natural numbers so we have to prove that f(N) is a bounded set) b)find supf(N) and inff(N). c) does f have a maximum or minimum in N? Homework Equations The Attempt at a Solution First I...

I am trying to prove that the set of natural numbers is well-ordered using induction. I am assuming of course that the natural numbers are defined as as the smallest inductive set (of the type specified by the Axiom of Infinity) and that the usual order is defined by n<m iff n\in m. I have an...