Recent content by tinylights

Homework Statement Okay, so the idea here is to take the centroid bounded by the x-axis and 1-x^n. N should be an even and positive integer. We should take the limit as n approaches infinity of both the x- and y-coords of the centroid, hopefully ending up with (0, 1/2). Homework Equations...

Just to follow up on my math crisis upon getting into Calc II... just got back results for the first test! I got a 95%! Guess I won't have to become an English major after all lol :)

Homework Statement A few examples done in class that I didn't understand are as follows: (Find out if convergent or divergent) integral 0-->infinity ( x / (x^3 + 1) ) integral 1-->infinity ( (2+e^(-x) ) / x ) Homework Equations None The Attempt at a Solution Basically, I have NO idea...

Thank you both, it makes me feel a lot better to know that a certain amount of struggle is okay. I'm just going to try my best and see where I get, and hit up my professor's office hours like crazy.

Sooooo, I'm a hopeful math major who just started Calc II. And it's unexpectedly challenging. I aced Calc I, lowest test score was a B and I feel very comfortable with all of the concepts. But even in the very first week of my Calc II class, sitting down to do the homework, I am spending...

Okay, that makes it simpler. I didn't know if I was "allowed" to assume that, or if I had to go from the ground up. I'll double-check with my professor but for now I'll work it out that way. Thanks!

Homework Statement Okay, the concept here is to use induction to prove that for n, (f1 x f2 x ... x fn-1 x fn)' = (f'1 x f2 x ... x fn) + (f1 x f'2 x ... x fn) + ... + (f1 x f2 x ... x f'n). 2. Homework Equations / 3. The Attempt at a Solution I solved the initial step, which was quite...

One method is, when you put everything on Google calendar, make an accompanying schedule that says not when things are due but when you plan to do things. For example, let's say it's the beginning of the week, and you have two assignments due on Tuesday, one on Wednesday, and three on Saturday...

I have taken both Stats and Chem I. I found both of them to be quite manageable; Intro to Stats is basically just a combination of formulas and some basic knowledge of how probability works, and Chem I is a combination of memorization & formulas, but not tough if you do the homework. Lab is also...

Ahhh, you're right! Realized that as I was checking my work. It should be -1/3x.

Okay, so - a geometric sequence is represented by (1+r+r^2+r^3+r^4...) and can be expressed in the form 1/(1-r), so basically I have 2(1+u+u^2+u^3+u^4), which can equivalently be expressed in the form 2/(1-u). U = 1/3x, so we end up with 2/(1-1/3x)? The answer seems to check out so I'll go with...

It actually doesn't. I am still flummoxed. :|

Homework Statement Okay, first there is an explanation of the Taylor Series equation. This I don't have a problem with. Then, we have this: Consider the power series 2 - (2/3)x + (2/9)x^2 - (2/27)x^3. What rational function does this power series represent? Homework Equations / The Attempt...

Hi, I wanted to introduce myself. :) I have recently discovered that math is my calling, and am studying it at a small 2-year college before transferring out next Fall to pursue my BS. I'm taking Calc 1 right now with a Stewart textbook (though due to the earnest recommendations for it all...

Hey guys, I hit up the bookstore and ordered a used copy of Spivak's Calculus as well as another lighter read which doesn't delve too deeply into any particular subject but discusses in a few pages each certain mathematical principles, theory and aspects of math history. It hopefully will...