stopandthink

Yes, it's just a simple straight line. Also, thank you for helping me out

Great! so now I understand how to find the definite integral of two positive points on the x axis. And also that I must add a constant to an Indefinite Integral. Although, I'll admit that I'm confused now with finding the definite integral of positive negative limits. Basically I just split it into parts, get the absolute value, and then add both parts, I think? --------------------- hold on so if someone asked for the definite integral of your example would you give them 0 or 16 as the answer? I see that area is not the same as definite integral. Hmmm

Don't know but cool idea . Hope someone helps you out

[math] \int_{0}^{4}x^2 dx=? [/math] is this how you start it off? No ones asking me, I'm simply trying to learn how to integrate on my own. I just chose those points for simplicity Okay I think I figured it out.. So first i take the integral of my function [math]x^2[/math] which is [math]1/3x^3[/math] then I plug in 4 for x and get 21.3 then I plug in 1 for x and get 0.3 then I subtracted 21.3 - .3 = 21 sweet!

[math] f(x)=x^2 [/math] How do I go about finding the area under x=[0,1,2,3,4]?? I'm a beginner at definite Integrals so please make an easy explanation. Thanks!

http://www.codecademy.com/ youtube tutorials, books, etc...

Grapefruit

So we can die with a full set of teeth?

My mass- 72kg speed of light- 186000 miles/sec [math] E=72(1.86*10^5)^2[/math] correct? So we all have a great amount of potential energy, but since i'm made of stable atoms then its almost impossible to ever use that energy? correct?

So basically what i thought up of last night has data to support it. I'll look into J. Richard Gott's calculations.

I'm not a specialist in cosmology so i won't be surprised if most of this is incorrect. Everything we can see, in the universe, travels from point A to B, in waves. So i know when i look at the sun, I'm seeing it how it was 8 minutes ago. But when we look through a powerful telescope we can see nebula's and galaxies further away from us in space, whose waves are just arriving from a long trip through space. And just like the sun we can observe them how they once looked. But since space is expanding we must also take into consideration that the light took longer because new space was forming as it traveled. Making it cover more distance but also having more distance to cover ahead towards it's destination. I'm not sure how much new space is formed per light year, but i presume it's not much. Anyway taking all this into consideration i can now assume that what i'm looking at are photons ,from galaxies in the past, that were once way closer, but in reality they are actually further away in space. My question is how do cosmologist, physicist, etc.. calculate a "finite" observable universe when space is probably bigger than what we think it is? If it's measured by observation then all were doing is measuring the past.

She corrected herself in the info under the video. "CORRECTION: The pressure inside the glass increases as the fire heats up the molecules. Oxygen is being "consumed" by the fire, that produces Carbon Dioxide (the matter itself remains, no matter is mysteriously 'vanishing' or 'created' out of nothing!). But now, the pressures are different and therefore the water outside the glass are pushed inwards — the lower pressure of the INSIDE 'sucks in' the liquid around it under the pressure stabilizes."

Ok, i think i understand better now what the derivative is. By drawing out a graph [math]f(x)=x^2[/math] with x=time(in seconds), y=velocity(mph) So when [math] \frac{2seconds} {4mph}[/math], [math] \frac{3seconds} {9mph}[/math] So the difference is 5mph, but as you get closer and closer to exactly 3 seconds you find that it's instantaneous velocity(derivative) is 6mph...?

Ok so i just learned that f'(4)=8 is the point on a new graph f'(x) that overlaps the original graph f(x), which is why i couldn't understand where it belonged...