Recent content by matadorqk

Homework Statement A die is biased such that the probability of getting a six is 1/4. The die is rolled 2000 times. Let X be the number of sixes obtained. Find, a) the mean of X b) the standard deviation of X, leaving your answer as a surd. Homework Equations The Attempt at a...

Not a problem. Anyways, thanks for the help.

Ok let's just solve this real quickly. See if f(x) converges from 0->1. Using the same, if g(x) converges, we'd be using the same steps, except from 0 to 1 now. This would give you -1/e + 1. Given that they are all constants (its approaching a value), we know it converges. I know this is...

Yeah, It is, I figured it out as you can see haha. However, the f(x) <= g(x) is only for x>=1, we don't worry about x=0 -> x<1 because.. hmm, I'm honestly not sure.

Hmm, a comparison test does seem interesting. So let's try this out. Let f(x)=e^{-x^2} and Let g(x)=e^{-x} Where 0\leq{f(x)}\leq{g(x)} Given the comparison test, if g(x) is convergent, we can assume that f(x) is also convergent. \stackrel{lim}{b\rightarrow\infty}\int_0^b{e^{-x}}...

Yes, I realize what you say, so: lim (b-> \infty) \int_0^b{e^{-x^2}} I realize that e^\infty is infinity, therefore, making it divergent. However, that's wrong because I have to integrate it first. Hence my question, how would I approach integrating {e^{-x^2}}

Homework Statement Test for convergence: b. \int_0^\infty{e^{-x^2}} Homework Equations Any method you choose to approach the problem in order to test for convergence. The Attempt at a Solution First, I attempted to integrate the problem. However, I am not exactly sure how to...

Thanks for the infiltration test. I talked to my teacher and he enjoyed the idea of the water infilitration. I think I'm probably going to do this test, along with measuring altitude, wind speed in the area, and moisture. Personally, I didn't like the moisture test, as it has little to do with...

any suggestions..?

I am performing the Group IV Experiment in approximately 3 days, and I needed some last-minute help and suggestions towards what I am doing. My group is examining two ecosystems, one with and one without a river. We will view how different water and soil factors affect the biodiversity of the...

#2 As for #2, how much has Juanita traveled in 45 minutes? How much will she have traveled once you have caught up to her? (in 1 hour and 45 mins) that should help qk

Any hints?

Oh I get it! So f(x)=\ln \frac {x(x-2)}{(x+2)(x-2)} So f(x)=\ln \frac{x}{x+2} Awesome, part A solved. Now find the inverse.. Give me a sec here Argh, the only way i know of obtaining inverses is by flipping x and y's.. here it seems a tidbit different. I know that: The domain of the...

Im sorry, I left an ln x out, for some reason I typed \lnx and it appeared as nothing. Should I still factor the denominator? ~ I had chow mein with chicken :D

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...