Homework Help

there is a function which is differentiable continuously on [a,b] . suppose |f'(x)|<1 for all[math] x\epsilon [a,b][/math] prove that there exists 0<=k<1 [math] x_1\epsilon [a,b] [/math] [math] x_2\epsilon [a,b] [/math] that this equation is true [math] |f(x_1)-f(x_2)|<=K|x_1-x_2| [/math]

Palomino horses are valued for their beautiful and distinctive coat color; usually a golden yellow or shade of tan with a white or flaxen mane and tail. They result from matings between chestnut coated horses and ‘off white’ coated horses and the palomino coloration is actually intermediate between the coat colors of the parents. In a breeding experiment, several pairs of palomino horses were bred together and produced 19 ‘off white’ offspring, 21 chestnut offspring and 44 palominos. (a) Determine the genotype of the palomino parents used in this breeding experiment and explain how the presence of these alleles in the genotype contributes to the phenotype. (b) S…

Give me a clue please. I have no idea what do do: Suppose 1.51 atm of CH4(g), 2.23 atm of C2H6(g), and 15.53 atm of O2(g) are placed in a flask at a given temperature. The reactions are given below. CH4(g) + 2 O2(g) <-> CO2(g) + 2 H2O(g) KP = 1.0 x 10^4 2 C2H6(g) + 7 O2(g) <-> 4 CO2(g) + 6 H2O(g) KP = 1.0 x 10^8 Thanks a lot. Anything helps.

hi can u help me with this please -which one of these is the atom= 2,8,8,2? -for neutral atoms with 21-30 protons, the third shell resumes filling;that is, for element 21, the element arrangement is 2,8,9,2. -a-write down how the electrons are arranged in an atom containing 30 electrons??? -b- how are the electrons arranged in a neutral atom containing 31 protons? thankyou in advance for all ur help. jane (:

Today, around 30 million people live at altitudes of over 10,000 feet, with the highest permanent human settlements at 17,500 feet in the Peruvian Andes. The concentration of oxygen at sea level is about 21% and the barometric pressure averages 760 mmHg. As altitude increases, the concentration remains the same but the number of oxygen molecules per breath is reduced. At 12,000 feet (3,658 meters) the barometric pressure is only 483 mmHg, so there are roughly 40% fewer oxygen molecules per breath. In order to properly oygenate the body, your breathing rate (even while at rest) has to increase. This extra ventilation increases the oxygen content in the blood, but not to se…

I have a few questions on this subject: 1. How will increasin the number of yeast cells affect the rate of ATP production by cells if the sugar concentration in the experiment is held constant? 2. How will substituting galactose for glucose affect the rate of ATP production by the cells? 3. Will the yeast cells or the corn seedling have a higher metabolic rate when compared on a mass specific basis? (comparing fully hydrated seeds to dry yeast)

Is brass a substitutional or interstital alloy? Substitutional alloys have same sized components. Interstital include small atoms fitting into space b/w large atoms. like steel... But for the alloy for brass, would I have to uncover the size of the copper and zinc in order to see whether they are interstital or substitutional

I. Mach Projectile Solver Find the source and destination of a supersonic projectile using 3 microphones. The projectile sweeps out a shock wave in the shape of a cone and intercepts the microphones. From the arrival time differences between the microphones, the solution is found. http://www.geocities.com/jongiff2000/Mach_Projectile_Solver.xls II. Triangulation Solver Find where 3 sticks of known length meet to form an irregular pyramid, given the coordinates of their bases. http://www.geocities.com/jongiff2000/Triangulation_Solver.xls III. Nested Parabolas, Surface Area of a Sphere and other solutions http://mypeoplepc.com/members/jon8338/math/ …

I was wondering if a molecule is considered a meso even if the plane of symmetry bisects an atom? i.e. Cl atom cut in half?? OH Br_|_ H _|_Cl Br_|_ | OH

Question # 1 When a solution containing an unknown number of metal ions is treated with dilute HCl, no precipitate forms. The pH is adjusted to about 1, and H2S is bubbled through. Again no precipitate forms. The pH of the solution is then adjusted to about 8 and treated with (NH4)2S. This time a precipitate forms. The filtrate from this solution is not tested. Which groups of metal ions are either known to be present or cannot be excluded? A. Group III and Group IV B. Group III only C. Group II and Group IV D. Group IV only E. Group I and Group IV Question # 2 In the course of various qualitative analysis procedures, the following mixture is encountered:…

function f(x) continues on [a,b] suppose that for every sub part [math][\alpha ,\beta ]\subseteq [a,b][/math] we have[math]\int_{\alpha}^{\beta}f(x)dx>0[/math]. prove that f(x)>=0 for [math] x\in[a,b] [/math] if its wrong give a contradicting example?? i dont have a clue from here to start or how to go. from the given i can conclude that if the sum of all subsections gives us a positive result then the total sum from a to b has to positive too.inte

For my science project, we have to make a mousetrap powered helicopter. Not sure how the helicopter's going to fly. Anyone's got any ideas. (helicopter size and material does not matter)

I have to write a "news article" about anything I want. It can be science-related or not, but I want to make it really interesting the whole way through. Any suggestions?

which method do you think is more accurate to determining the concentration of acetic acid in vinegar,the ph meter or the phenopthalein? pls help me guys!!

Not sure if this is where I should post this question, but I have a few questions about the rule of 70. I'm doing an extra credit project over the Rule of 70, and in doing so, I need to give an example of how exponential growth works. I've tried doing research, but I'm not sure if what I've found is really what I need to know. If someone could better explain to me how the rule of 70 works, maybe I could get an idea for showing an example of how the rule works. Thanks.

so my general function are bigger then their taylor series by the remainder of Rn the functions are greater than the Taylor polynomial up to power n by the members which are in a higher powers then "n" this is the logic how to formulate it into equation??

Hi, I am trying to find the Fourier series of a rectified sine wave, there is an entry in the data book for this for a "p-phase" cosine wave, firstly can I adapt this series for my requirements and secondly what is my p? Here is the data book (p18) http://www-mdp.eng.cam.ac.uk/web/library/enginfo/cueddatabooks/mathematics.pdf and my rectified sine wave is f(t) = |sin(wt)| Cheers, Ed

Hi, this is what I have so far: I'm stuck. I can't remember exaclt what co2 does thats bad :S I tried researching it, but lots of crap comes up with little to no relevence to what I want. I know the the co2 gets stuck somewhere, but can anyone answer where and why (and anything else you think is relevent ) Thanks heaps

Hi, I was given this problem by my teacher and am curious to know how many science enthusiasts of you can solve it. It took me quite a while. Take a look: There are two lengths of rope. Each one can burn in exactly one hour. They are not necessarily of the same length or width as each other. They also are not of uniform width (may be wider in middle than on the end), thus burning half of the rope is not necessarily 1/2 hour. By burning the ropes, how do you measure exactly 45 minutes worth of time? You can see the answer here: http://mindcipher.com/puzzle/41-burning-rope Enjoy!

how many times can we differentiate this splitted function on point x=0 ?? [math] f(x) = \{ x^{2n} \sin (\frac{1}{x}) ,x \ne 0 [/math] i know i need to prove it by induction [math]\dfrac{\mathrm{d}^r}{\mathrm{d}x^r}\big(x^{2n}\sin(x^{-1})\big)= \begin{cases} (-1)^rx^{2(n-r)}\sin(x^{-1}+\frac{1}{2}r\pi)+x^{2(n-r)}g_{n,r}(x) & x\neq 0\\ 0& x=0 \end{cases} [/math] for all r≤n, where g_{n,r}(x) is continuous at 0 and vanishes there. what to do next??

Hey guys, I'm stuck.. I needed to integrate the surface of a "cap" (some part of a sphere). I got most of it, and got stuck at the actual integral. What I have right now (after setting up the drawing and all limits, and everything else) is this integral: [math]\int \int \sqrt{\frac{R^2}{R^2-x^2-y^2}} dxdy =[/math] I rewrote it as [math]R \int \int (R^2-x^2-y^2)^{-\frac{1}{2}} dxdy[/math] My first thought was substitution, but.. [math] u=R^2-x^2-y^2[/math] [math] du = -2x dx [/math] [math] -\frac{1}{2}du = xdx[/math] Which doesn't help me, because I don't have an xdx ... I don't have an extra x. I thought of integration by parts, but got …

I am struggling with fully answering two questions that are fairly similar. 1. Why should the potassium salts of fatty acids yield soft soaps? - I know that sodium yields what is considered as hard soap and potassium yields soft soaps. I also know that potassium is more soluble in water than sodium, but is this in fact that entire answer? 2. Why is soap derived from coconut oil so soft? Again I realize that water solubility is high here but I'm just not confident in understanding why. 3. Why does adding a salt solution cause soap to precipitate? Here is my answer for this: It is a general rule that a fatty acid salt (soap) becomes less soluble as a salt i…

f(x) is differentiable twice at x_0 prove that: [math] f''(x_0 ) = \mathop {\lim }\limits_{h \to \infty } {{f(x_0 + h) - 2f(x_0 ) + f(x_0 - h)} \over {h^2 }} [/math] i tried to solve it but i cant get to the asked expression [math] g'(x_0) = \lim_{h \to 0} \frac{g(x_0 + h) - g(x_0)}{h}\\ [/math] [math] g''(x_0) = \lim_{h \to 0} \frac{g'(x_0 + h) - g'(x_0)}{h}\\ [/math] [math] g''(x_0) = \lim_{h \to 0} \frac{\frac{g(x_0 + 2h) - g(x_0+h)}{h} - \frac{g(x_0 + h) - g(x_0)}{h}}{h}\\ [/math] [math] g''(x_0) = \lim_{h \to 0} \frac{{g(x_0 + 2h) - g(x_0+h)} - {g(x_0 + h) - g(x_0)}}{h^2}\\ [/math] [math] g''(x_0) = \lim_{h \to 0} \frac{{g(x_0 + 2h) - 2g(x_…

prove that this function differentiable endles times on x=0 ?? if i will write the definition of the derivetive i could prove that it differentiates on x=0 how to prove that for endless derivatives of this function ??

1=<k=<n find [math] f^{(n)} (x) [/math] of: the first : [math] f(x) = |x|^{n + 1} [/math] the second is: [math] f(x) = |\sin x|^{n + 1} [/math]