\int_{0}^{\infty} \frac{x^2 dx}{x^5+1}
The question asks whether this function diverges or converges.
I have tried to do some comparisons with x^2/(x^6+1), and x^2/(x^3+1) but it didn't end up with something good.
Then I decided to compare it with \frac{x^2}{x^4+1}
Since this function...
Homework Statement
Use the integral test to determine if this series converges or diverges: sum from n=1 to infinity of n/(1+(n^2))
Homework Equations
Integral test: a series and it's improper integral both either converge or both diverge
The Attempt at a Solution
see attached - I need help...
Homework Statement
I'm taking my first basic physics course and I came across this simple question (which I got the wrong answer apparently). The question was this: what is the velocity and acceleration of an object which has reached it's maximum height after being thrown directly upwards...
Hi,
It's been a while but from what I remember when you short circuit a transformer, electrically it's like you've series'd up the coils and shorted the magnetisation branch. And when you open circuit a side of the TX it is like the current flows through a side then through the magnetisation...
I know it follows a geodesic in space-time, but is it not being able to bend space-time itself, part of the definition?
When I google i just find 'follows a geodesic in space-time'. I thought that it also should not bend space-time itself - but this isn't included in the definitions I've...
Homework Statement
Show if this sequence (with n=1 to infinity) diverge or converge
Homework Equations
[/B]
The Attempt at a Solution
If I use the Limit Comparison Test:
compare with so you get that equals lim n -> inf => inf.
Can I use the Test like this? What does this...
Hi, I don't know if this is the best place to post thia, but I'll give it a try :-)
I'm taking the SAT subject tests physics, math level I and level II, and the ACT test thia coming year. As I'm not following a high school curriculum, and am merely studying on my own, I really have no idea of...
Hello, I recently came into an issue in regards to my course schedule. I talked to one of the professors in the math department and suggested I not take 3 science classes as well as math 295 (hardest math sequence my school has to offer). This puts me at issue in regards to meeting the math...
Ill be attending a masters program this spring semester and they require a Placement test. I am wondering what's the best way to get back in the swing of things.? any good suggestions?
I have a question considering the transformer's short-circuit test and the impedance (or short-circuit voltage).
The transformer's general data is:
Rated power: 50kVA
Primary voltage: 10000V (10kV)
Secondary voltage: 420V (0,42kV)
Primary current: 2.89A
Secondary current: 68.73A
Vector group...
Hi Everyone, I am building a hydro turbine, I am expecting it to produce circa 4 kw possibly as high as 7 kw depending on flow. I am on a very limited budget. Please could you suggest possible means of getting load output data? I have considered attaching a heavy truck 24 v alternator and doing...
Although it gets better with experience, integrating an expression by hand is a really a trial and error procedure. A wrong substitution will get you nowhere in the available time. So I am wondering as to how they test your integration skills on GRE Mathematics Subject Test. Any help would be...
http://online.wsj.com/public/resources/documents/2014_1113_dougwilliamsindictment.pdf
Mr. Williams is being charged with fraud for showing a machine and technique for being a fraud. Mr Williams is not being deceptive during a test, the person being 'tested' might be but that's the problem of...
Homework Statement
When using the Integral Test do you need to change the bounds to n+1 and n-1 for an increasing and decreasing function respectively?
This is a question that comes up when using the integral test.
I think that you just use the original bounds for the integral. We are a bit...
Homework Statement
[/B]
From K=4 to infinity the Σ (-1)^k (k/e^k)
Converge or diverge?
Use:
a) Ratio Test
b) Root Test
c) Integral Test
d) Alternating series test
Homework EquationsThe Attempt at a Solution
For the alternating series test and ratio test I have the correct answer that it...
Background: Physics Major (3.5 physics gpa), college graduate, pursuing PhD, PGRE: 700 52%
I have seen a couple of threads on test taking, but I have a slight different direction.
I don't have problems with tests in general. I have done well on many many exams ( physics, math, chemistry...
Homework Statement
∑ x2n / n!
The limits of the sum go from n = 0 to n = infinity
Homework EquationsThe Attempt at a Solution
So I take the limit as n approaches infinity of aa+1 / an. So that gives me:
((x2n+2) * (n!)) / ((x2n) * (n + 1)!)
Canceling everything out gives me x2 / (n + 1)...
Homework Statement
Crash Test Craig drives his 800kg car up a 100m ramp that is at an angle of 35 degrees above the horizontal. The car exerts a forward force of 12000N and the force of friction between the ramp and the car is 20N. He is trying to jump over a series of spinning helicopter...
I recall reading that, while it is not true for all fields, there is a correlation between standardized test scores and academic performance in math and science. I did a quick search, but couldn't find much information that was specific to math and science.
I teach AP Calculus and this subject...
Homework Statement
Refer to Table 2.11.
10.6 What significance test can be used to assess whether there is a relationship between receiving an antibiotic and receiving an antibiotic culture while in the hospital?
Here's my attempt of recreating the table:
\newcommand\T{\Rule{0pt}{1em}{.3em}}...
K≥0 ∑ ((sqrt(k)+2)/(k+5))
I am trying to prove that this diverges. The divergence test is inconclusive.
Now I am left with a great option of a comparison test. I'm not quite sure what to compare it with, but I know I need to compare it with something smaller (denominator is larger) that...
Hi guys,
I am working on a project at work where we make part a which weighs 10 pounds and part b which weighs 13 pounds.
Parts a and b both get packaged in a foam container. I have test data on part a that says it will survive drop tests, I was hoping to do analysis to say part b will also...
Hi! Need help on following question:
Does a flexural bending test suffice for determining the structural integrity of a pre-preg honeycomb sandwhich panel with carbon phenolic face sheets and aluminium core?
Any help will be deeply appreciated
I've often wondered what would be on a test designed by students?
If the purpose of the test is to ascertain one's conceptual mastery, what do you think should be on it?
Who knows? I might even take one of your responses seriously ...
Homework Statement
the expected frequency for the age of (21-30, 31-36, more than or equal to 37) for operation is less than 5 , so combination of these numbers are required for the expected frequency to be more than or equal to 5 .
my question is which numbers should i combine?
would my ans...
Using a normal approximation method for the Wilcoxon Signed-Rank Test, I've seen that the expected value is \mu = \frac {n(n+1)}2 and the variance is \sigma^2 = \frac {n(n+1)(2n+1)}{24} .
I'm wondering why these are the expected value and variance.
I do recognize the formula for the sum of...
Homework Statement
. A rock is dropped from a high tower and falls freely under the influence of gravity. Which one of the following statements concerning the rock as it falls is true? Neglect the effects of air resistance.(a) The rock will gain an equal amount of momentum during each...
Homework Statement
i have problem of finding the degree f freedom for this question. the ans for v is 3 , but my ans is v=n-1 , where n = 6 , so my v=5...
Homework EquationsThe Attempt at a Solution
I'm reading a book by Harry J. Gensler in which he introduces his 'star test' for checking whether or not a syllogism is valid. According to the star method the premises;
all A is B
all A is C
has no valid conclusion. But wouldn't;
some B is C
be a valid conclusion?
Sorry if this is kind of...
http://nypost.com/2014/09/28/what-is-the-pentagons-secret-space-drone-doing/
Cool article. Couple of questions: Why do they need to use self-contained atmospheric protective ensemble suits around the drone? Is that yellow object the man is carrying in the first pic a Geiger counter?
The only reason I ask is that I'm in both classes (AP Physics C:Mechanics/AP Calc BC) and I find myself using formulas from one class to answer the question in another class. I did one question in Calc involving the motion of an object and used some physics formulas to solve it. The work for...
Homework Statement
A 10.0-kg block is released from rest on a quarter pipe 3.00m high. The track is frictionless except for a length (6.00m). The block travels down this track and hits a spring of force constant 2,250 N/m, and compresses the spring 0.300m from its equilibrium position before...
To test mass affects acceleration.
is it correct to change the mass of plasticine attached to the trolley and measure the length of the ticker tape strip with the constant variable be the angle of the inclined plane?
Homework Statement
Problem:
a) Find the Fourier transform of the Dirac delta function: δ(x)
b) Transform back to real space, and plot the result, using a varying number of Fourier components (waves).
c) test by integration, that the delta function represented by a Fourier integral integrates...
Lets say there is a drug that proposes to make one grow taller. A study is performed and the results state that there IS statistical difference with a Z = 3.1 p<.05. What should be stated about the magnitude of the increase in height? Should the study also have to state the magnitude of the...
I need to create scales for a test before running t-tests / ANOVA.
Instrument: One attitude survey test with 37 questions. Each question is a Likert type question with 1 to 5 points.
Data Set: The set of data includes pre-test and post-test scores. There was a 6 month delay between the...
With another microphone? And how do you test the accuracy of that microphone? With yet another microphone? ...and on and on we go
I suppose you're probably thinking to yourself, "well that's easy BeautifulLight, just set up an experiment using a signal/tone generator, couple of microphones...
Hey gang,
I was wondering if there is a non-parametric version of the single set TTest? I know that often people refer to the Wilcoxon signed-rank test, but my understanding is that only tells you about the median, correct? Is there an equivalent that deals strictly with the mean?
Cheers!
Here's an idea that I came up with.
I've heard over and over again that there is no test yet available to confirm string theory.
So what I say is...
What if you could derive some fundamental physics equation from string theory principles? Then wouldn't that be a test so to speak...
Hi can someone please clarify info regarding the application and validity of the Dickey Fuller test.
If I perform the test using a sine wave would I be required to somehow take into account the seasonality. From my understanding a sine wave is non stationary, using the MATLAB command below I...
New here and this is my first post. I've developed an online psychrometric calculator and I believe it is now working perfectly.
I would like someone or anyone who has expertise in this area to check my work.
The link is...
So I am trying to test into the Calculus with Analytic Geometry class at my school. I've already taken the first AP Calculus class my senior year of high school (but wasn't particularly concerned with my grade, and never took the test, since it was an extra curricular class for me). Then I took...
Just wanted to let the forum know that through some diligence I have been approved to take the Fundamental Engineering test in South Carolina with a B.S. in Physics.
I took about a extra year worth of advanced engineering classes along with skipped all freshman and sophomore engineering...
these are technically not homework, i just need more help for my test tomorrow!
I HAVE NO IDEA HOW TO DO THIS! can someone walk me through these and show me the steps! thank you :):confused:
1.A sled is being pulled to the right with a force of 28 N. A frictional force is working opposite...
1. What is the strength of the gravitational field (in N/kg) at an orbit of 1.0 x106 m above the planet Zoklopgniald with mass of 3.45 x1026 kg and mean radius of 7.80 x107m? ANS:3.69 N/kg What is the gravitational force exerted on a 2840 kg satellite orbiting Zoklopgniald at this altitude...
Homework Statement
1+\dfrac{2^2}{2!}+\dfrac{3^2}{3!}... \infty
The Attempt at a Solution
t_n = \dfrac{n^2}{n!} \\ \dfrac{n}{(n-1)(n-2)...1}
I tried applying the Ratio Test but couldn't find another function which would give me a finite limit when divided by that function.