# Search results

1. ### Is hydrogen non-metallic?

Thanks for your reply! :) How important is having the nomenclature down? Will it be used throughout chemistry? How much should I practice it?
2. ### Is hydrogen non-metallic?

Is hydrogen always a nonmetal or can it be a metal? What is it usually treated as? Thanks.
3. ### Derivative of an absolute value

I don't get why: \frac{d}{dx}[|u|]=\frac{u}{|u|}(u') Can someone give me an example to which this applies? Can you use any function in place of "u"?
4. ### Arc length/ surface area with integrals

I have a question on the formulas for arc length and surface area. Do you use the formula: s= \int_{c}^{d}\sqrt{1+[g'(y)]^2}dy only when you are provided with a function x=g(y)?? Can you convert that to y=g(x) and solve it by replacing g'(y) with y(x), changing the bounds and the dy to dx...
5. ### Limits & Riemman Sum

Well, here's what I have so far: \int_a^b f(x) dx = \lim_{N \to \infty} \sum_{n=1}^N (\frac{1}{N}\sin(\frac{\pi i}{N})
6. ### Limits & Riemman Sum

Homework Statement Question regarding #16 Homework Equations Riemman Sum The Attempt at a Solution I know that the limit of the Riemman Sum is basically the integral. However, I do not know where to go from there. Do I need to use the Summation formulas? Thanks
7. ### Sample Problems

Homework Statement I'd like hints as to how to solve this problem. Thanks! \lim_{x\rightarrow{\inf}}{\frac{x^2-4}{2+x-4x^2}} Homework Equations I think I would begin by dividing out the fraction to get rid of the x^2? Is this the right way to start? The Attempt at a Solution
8. ### Graphing with respect to y

Homework Statement I'm having difficulty graphing with respect to y (unless I graph it point by point). For example, I find it hard to graph: f(y)= \frac{y}{\sqrt{16-y^2}} Does anyone know of an easy method to graph such a function or know how to do it on a Ti 84+ SE? Also, it would...
9. ### Writing Cram Sheets for Math/Science Classes

Writing "Cram Sheets" for Math/Science Classes... I like to write "Cram Sheets" for Math/Science Class that include my common mistakes, important notes, and any extra information that my textbook does not accentuate or simplify. I like them to be neat and tidy (and hopefully digital so I can...
10. ### Notation for separation of variables

My book has a problem that requires you to separate variables (one side has all the y terms and one side has all of the x terms): \sin{xy'}=\cosx Equation after separation of variables: dy=\cot{x}dx My question is, how do you know that the y' is contained within the sine function or...
11. ### Separation of Variables

I do not understand the process of separating variables such as in derivatives. I thought that dy/dx is just the rate of change of y with respect to the independent variable x. Why can you physically move dx (like multiply it on both sides)?? What would "dy" be reffered to as then? Simply the...
12. ### AP Calculus Questions

Here are some questions I have concerning AP Calculus that I have compiled while doing my homework assignments. Please help me answer them. Thank you very much! Questions: -Do you never need to worry about the chain rule when integrating? I'll add on to these questions when I have more.
13. ### Mathematica I don't know what to do with Mathematica 5.1 and Mathcad 12

My dad bought the student version. So do you guys think it would be faster (than writing) to do my assignments this way? Would my teacher allow me to turn in my homework using this piece of software as long as I show my work? You can basically do everything you can by writing (i.e. graphing...
14. ### Mathematica I don't know what to do with Mathematica 5.1 and Mathcad 12

Wait this software is worth over two thousand dollars? Do you think I can use it to do my homework more efficiently? Do college students use it to do their homework assignments?
15. ### How do you guys study Calculus and such subjects?

How do you guys study for your finals? I'm having a Calculus I final soon (limits up to integration with logs and inverse derivatives) and I do not know how I should review most efficiently. Should I do the review problems at the end of each chapter and see where I need review the most or just...
16. ### Should I participate in science fairs?

Can you derive a simple science fair projects from high school physics, calculus, and the other sciences? Should I think up something original or what? I've been thinking forver and I can't seem to come up with a good topic that fits my interests (and is within my ability scope).
17. ### Do you always need to watch out for limitations? How do you memorize them?

Do you always need to watch out for "limitations?" How do you memorize them? I have a question about "limitations" given within any theorem. For example: Rolle's Theorem states: So the limitations would be: "Let f be continuous on the closed interval [a,b] and differentiable on the open...
18. ### Should I participate in science fairs?

I'm currently a high school junior taking a variety of AP courses. I'm getting A's with the exception of a few B's. I really want to conduct a science fair project, however, and I don't want to rush it (as long as I can finish before senior year). Should I focus on maintaining good grades...
19. ### Why does differentiability imply continuity?

I've been thinking... Since derivatives can be written as: f'(c)= \lim_{x\rightarrow{c}}\frac{f(x)-f(c)}{x-c} and for the limit to exist, it's one sided limits must exist also right? So if the one sided limits exist, and thus the limit as x approaches c (therefore the derivative at c)...
20. ### Integration by u- substitution (involving natural logs)

Yeah, I think it's better to think of it as a family of functions too. Thanks
21. ### Mathematica I don't know what to do with Mathematica 5.1 and Mathcad 12

My dad just bought me Mathematica 5.1 and Mathcad 12 and I have no idea how I should use it, if ever. I'm currently in AP Calculus in high school so I don't know what features I should use that would enhance my learning and understand of math from algebra all the way up to Calculus. Any ideas or...
22. ### Integration by u- substitution (involving natural logs)

Ohh.. so my book just sucked in all of the constants and made it an arbitrary constant C to represent all constants (including +1)? How do you put a vertical bar? I've tried inserting the lower case L but to no avail..
23. ### Integration by u- substitution (involving natural logs)

How do you put absolute value signs around an expression? I've tried typing \abs{expression} but it doesn't work.
24. ### Integration by u- substitution (involving natural logs)

It means that C=-1 but how do you find that out? What points are there to substitute to obtain C?
25. ### Integration by u- substitution (involving natural logs)

Homework Statement \int \frac{1}{1+\sqrt{2x}}dx Homework Equations u=1+\sqrt{2x} \sqrt{2x}=u-1 dx=(u-1)du The Attempt at a Solution I was able to get it down to: \int (1-\frac{1}{u})du = u-\ln{lul}}+C = 1+\sqrt{2x}-\ln{l1+\sqrt{2x}l}+C However, my book says that...
26. ### How do you guys study Calculus and such subjects?

I don't know how I should study Calculus and math related subjects. Here's the routine I follow as of now: After I come back from school everyday after goingto Calculus class I read through the notes and do all example problems. Then I start and finish the assignment the next day. However...
27. ### What's the point in using differentials (in integrals)?

I don't get why we need to use differentials and why they are the way they are. For example: dy=f'(x)dx vs. the derivative \frac{dy}{dx}=f'(x) Why are they equivalent? Why are integrals written in the differential form? I don't get the purpose of it. (other than to be used as an...
28. ### Calculator program gives incorrect results (Definite Integrals/ Area)

Thanks a lot for making it all clear Casey! :smile:
29. ### Calculator program gives incorrect results (Definite Integrals/ Area)

I think I get what you mean: It is like the net area (that represents something else like Work = Fd) Right?
30. ### Calculator program gives incorrect results (Definite Integrals/ Area)

Gotcha! Thanks guys