Homework Statement
"Estimate the standard reaction Gibbs energy of the following reaction:
N2 + 3 H2 ‒‒> 2 NH3
at 100K and at 1000K."
Homework Equations
ΔS(T2) = S°(T1) + ∫ n Cp dT/T
ΔG = ΔH ‒ TΔS
Given data: http://imgur.com/MBakUEB (may need to right-click and select...
Homework Statement
A certain type of transistor has an exponentially distributed time of operation. After testing 400 transistors, it is observed that after one time unit, only 109 transistors are working.
Estimate the expected time of operation.
Homework Equations
The Attempt...
i need the formulas and the steps
i know how to use the confidence interval equation
after that it gets dark
$$\frac{N*Var(x)}{(N-1)B^{2}/k^{2} + Var(x)}$$
break down the above equations into many steps and formulas
All,
Turning to the experts with a boat problem I'm trying to solve. Specifically, I'm in the process of changing the gear reduction of the transmission on my boat and will need to get a new set of propellers with a different pitch. The old set up worked just ok... I tested different...
Hi,
I have a data set containing values for power and direction. I would like to produce a probability density estimate. The data can have multiple sources so I want to use a nonparametric method. I work in python which has a method for kernal density estimation (KDE), which I think should be...
Homework Statement
Estimate the minimum proton lifetime from the fact that you haven't yet died from internal radiation. Use the following conditions:
1.) At a dosis of Dmax = 2 Greys per year (Jkg-1 yr-1) you would already be dead.
2.) The human body is made mostly of water.
3.) The total...
Homework Statement
Working through some homework problems we are given the desired gain and input resistance, and are asked to choose what type of amplifier (mosfet or bjt) and what configuration would be ideal. The solutions are given. In the solutions, and in the design example in the text...
Hi,
I have been reading SAS docs regarding the code for these two, but I cannot seem to really understand the key difference between them, they almost seem interchangeable to me, although obviously they are not. What is the key difference between the contrast and estimate statement and how...
Homework Statement
Estimate the fundamental frequency of resonance sound induced by blowing on the open end of a half liter bottle
Homework Equations
f= 1c/4L
The Attempt at a Solution
i don't know the length of L,
what's half liter bottle ..? What does it tell you? 2 x f1?
Homework Statement
Let X1, X2,..., Xn be a random sample of size n from a geometric distribution for which p is the probability of success. Let m denote the sample mean.
Use the method of moments to find a point estimate for p. Please write your answer in terms of m.
Homework Equations
The...
Homework Statement
Show that: \left(\int^{0}_{1}\frac{x^{\frac{1}{2}}dx}{(1-x)^{\frac{1}{3}}}\right)^{3}\leq\frac{8}{5}
Homework Equations
Holder inequality.
The Attempt at a Solution
First, I took the cube root of each side. This let me just deal with the 1-norm on the left. Then I...
Hi,
What would be the approach to getting a good estimate of the amount of force needed to stamp an American quarter? (This is assuming you have the blank already made)
I'd like to get a good estimate, but more importantly an idea of what numbers go into this estimate, i.e yield strength...
Homework Statement
Homework Equations
The Attempt at a Solution
I'm only stuck on part b). I make a) to be 3.87E26 W, but it gives that anyway in part b). OK, so here's my attempt:
\int_{r=0}^{r=R}dT(r)T(r)^3 = -\frac{3L(r)}{16\pi acl_{mfp}}\int_{r=0}^{r=R}dr\frac{1}{r^{2}}...
Let $p(\lambda )=\lambda^3+a_2\lambda^2+a_1\lambda+a_0=(\lambda-x_1)(\lambda-x_2)(\lambda-x_3)$ be a cubic polynomial in 1 variable $\lambda$. Use the inverse function theorem to estimate the change in the roots $0<x_1<x_2<x_3$ if $a=(a_2,a_1,a_0)=(-6,11,-6)$ and $a$ changes by $\Delta...
Homework Statement
There is the suggestion to use an alternative estimate for the slope $$\beta$$ in the linear regression $$y_i=\alpha+\beta x_i+\epsilon_i$$which is formulated as $$B=(y_{max} -y_{min})/(x_{max} - x_{min})$$
Prove that such a formulation of $$B$$ is unbiased.
Homework...
I am reading the red book on special functions of Andrews, and he writes there that:
\int_{0}^{1} t^{x-1} e^{-t} dt =\sum_{n=0}^{\infty} \frac{(-1)^n}{(x+n)n!}
And I don't see how to arrive at this identity, I guess he expands t in the integrand but my memory is rusty as to this series...
One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30°, with a possible error of ±1°.
(a) Use differentials to estimate the error in computing the length of the hypotenuse. (Round your answer to two decimal places.)
±...cm(b) What is the percentage...
So I'm trying to take the expectation of the covariance estimate.
I'm stuck at this point. I know I have to separate the instances where i=j for the terms of the form E[XiYj], but I'm not quite sure how to in this instance.
The answer at the end should be biased, and I'm trying to...
Should it be straightforward to estimate the number of radio wavelength photons emitted per electron per cycle (or is it number of electron cycles per photon) of a half wavelength radio antenna running at 100MHz and 1000 watts power output? Is it many photons per cycle per electron or is it many...
Homework Statement
The drift current in a p-n junction is 20μA . Estimate the number of electrons crossing a cross section per second in the depletion region.
Homework Equations
Drift current is the current that occurs due to formation of holes and electrons in the depleted region from...
Homework Statement
If the exponent, α, in the mass-luminosity relationship is 3.0, estimate the lifetime
of the above star. (You can assume that the Sun’s lifetime is 1 x 10^10 years).
Homework Equations
L*/Lsun = (M*/Msun)^α
lifetime ∝ M/L ∝ M^-2
The Attempt at a Solution...
I'm just starting out teaching in a US high school, and I have AP Physics B that I'm taking over in the Spring. I've never taught physics before except in a tutoring context. All my students are seniors, and are taking 7 classes total! Each of those classes meets 4 times per week. So I can't...
Hi there, I have to solve this problem:
Use the following data to estimate the molarity of a saturated aqueous solution of ##Sr(IO_3)_2##
So, I think I should use the Van't Hoff equation in some way, but I don't know how.
I also have:
##\Delta_r G=\Delta G^o+RT\ln K##
##K## is the...
1. Suppose X~B(5,p) and Y~(7,p) independent of X. Sampling once from each population gives x=3,y=5. What is the best (minimum-variance unbiased) estimate of p?
Homework Equations
P(X=x)=\binom{n}{x}p^x(1-p)^{n-x}The Attempt at a Solution
My idea is that Maximum Likelihood estimators are...
Homework Statement
The question asks to estimate the remainder on the interval |x|≤ 1.
f(x) is given as sinh(x).
I solved the polynomial P3(x) = x + (1/6)(x3)
I then went ahead and solved R3(x) up to the point shown below.
R3(x) = (sinh(c)*x4)(1/24)I then don't know how to go about...
Dear all, I hope someone can help me.
I have two experimental groups, A (n=5) and B (n=8) containing biological samples. The samples are used to estimate my parameter of interest, θ. I do this with Markov-chain Monte-Carlo, which gives me a posterior distribution of θ for each of my samples...
Homework Statement
Consider energy generation in the Sun. Fusion through the pp cycle takes place within its core which has
r = 0.2 Rs
T = 1.3 x 10 ^ 7 K
rho (density) = 1.1 x 10 ^ 5 kg m^-3
X (total mass fraction of hydrogen) = 0.34
The nuclear energy generation rate for the pp...
Assume that the average distance of the sun from the Earth is 400 times the average distance of the moon from the earth. Now consider a total eclipse of the sun and state conclusions that can be drawn about:
A. The relation between the sun's diameter and the moon's diameter.
B. The relative...
here is the answer:
36/60 = x/.8660
60x = .8660 x 36
60x = 31.176
x = .5196
however, where does the value: 0.8660 initially come from?
any help would be appreciated
Homework Statement
Estimate the hydrogen burning lifetimes of stars on the lower and upper ends of the main sequence.
Lower end: M = 0.085 solar masses; log10(Teff/K) = 3.438; log10(L/Lsolar) = -3.279
Upper end: M = 90 solar masses; log10(Teff/K) = 4.722; log10(L/Lsolar) = 6.045...
. Homework Statement
The tension T in the string of the yo-yo is given by:
T=(mgR)/(2r^2+R^2)
where m is the mass of the yo-yo and g is the acceleration due to gravity. Use differentials to estimate the change in tension if R is increased from 3cm to 3.1cm and r is increased from 0.7cm...
Hi,
Today I was reading news about Poland investing into nuclear energy where they estimate the first reactor to start generating in 2023 with capacity of 3MWe.
How can we estimate yearly production of the actual output send to the customer ?
(I'm more into PV technology but I think...
Homework Statement
A capsule suspended on flat rails enters a curve in a pipeline. It has guide wheels on vertical axles to keep the main wheels on-track. As it enters the bend the front guide wheel impacts the side of a rail to steer the bogie. What is the force of this impact? Essentially...
I have yearly rain amounts and want to estimate the rain with 100 year return period assuming different distribution. I know some ways to do with for example normal dist. but it's not general for all pdfs.
i.e.
\sum_{n = 0}^{\infty}\frac{1}{2^{n}} = \frac{1}{2^{0}} + \frac{1}{2^{1}} + \frac{1}{2^{2}} + \frac{1}{2^{3}} + \frac{1}{2^{4}} + \frac{1}{2^{5}} + \frac{1}{2^{6}} + \cdots = ~1.99138889...
Is there a way you can know this solution is 2 without having to perform all of the calculations I...
how would you estimate number of groups of order 24? i do not need exact number, it is 15.
I know that there are 5 groups of order 8 and there is 1 , 4 or maybe 7 sylow 3-groups. but i do not know what to do next
Homework Statement
An atomic spectrum contains a line with a wavelength centered at 460 nm. Careful measurements show the line is really spread out between 459 and 461 nm.
Estimate the lifetime of the excited state that produced this line.
Homework Equations
Change in Frequency =...
Homework Statement
Neon is a monatomic gas;
Density = 0.900 kg.m-3
Pressure = 1 atm
Temperature = 273K.
Density of liquid neon = 1207 kg.m-3
(i) Calculate the volume occupied by one gram mole of neon at a temperature of 273 K and a pressure of 1 atm.
(ii) Determine the atomic...
Hi everyone,
Let's say a simulation outputs a range of estimates with various accuracy level, ranging from 30% to 100%, with the range given at 30% being widest and the range at 100% being the narrowest. The ultimate goal of this simulation is to arrive at a single number within the estimated...
"Scream" on sale!
Yes, THE "Scream", by Edvard Munch is now to be auctioned at Sotheby's.
Munch made 3 (I believe) versions of this painting.
This picture has been in private ownership by the shipping family that supported Munch financially (the Olsen family).
Now, Petter Olsen has...
Question:
A solid has a rectangular base that lies in the first quadrant and is bounded by the x and y-axes and the lines x=2, y=1. The height of the solid above point (x,y) is 1+3x. Find the Riemann approximation of the solid.
Solution:
I already know that the solution is \sum_{i=1}^{n}...
In the 1980s, an average of 121.95 workers died on the job each week. Give estimates of the following quantities:
a.) the proportion of weeks having 130 deaths or more;
b.) the proportion of weeks having 100 deaths or less.
Explain your reasoning.
Procedure
I'm not sure, how to start...
Homework Statement
I've conducted two laser experiments. One with single slit, and one with a double slit.
I've produced two graphs which look something like these...
i prepared a setup wherein i heat a nichrome wire with 3 volts battery, measure its power, the temperature of the nichrome and the temperature of air.. by using the formula
ΔT=PRsurf
where
ΔT=Tnichrome - Tair
P=VI
Rsurf=1/hA,
R is, basically, the thermal resistance to heat...
This question concerns estimating the PDF of noise, based upon observations of a data stream consisting of noise embedded with transient signals. I would like to know if my Proposed Solution is a correct approach.
Suppose I have "long" stream of seismic data, consisting of noise, and with...
Use the error estimate for Taylor polynomials to find an n such that
| e - (1 + (1/1!) + (1/2!) + (1/3!) + ... + (1/n!) | < 0.000005
all i have right now is the individual components...
f(x) = ex
Tn (x) = 1/ (n-1)!
k/(n-1)! |x-a|n+1 = 0.000005
a = 0
x = 1
I don't know where to go from here
Homework Statement
Find the derivative of the transformation x=rcos(theta), y=rsin(theta).
Then estimate the cartesian coordinates for r=2.2 and theta=pi(1/6-1/60)
The Attempt at a Solution
I found the partials with respect to r and theta for both x and y.
I also wrote down the...