I am working on a problem regarding arclength-which asks to find the arclength for r=2-2sinx (x=theta) I worked out the integral to the integral of the square root of 8-8sinx but i didnt know how to integrate from there--any help?
The sine of 45 degrees is equal to root two over two or approximately.7071. I was playing around on my calculator when i stumbled upon the resemblance that sine45 degrees is either equal to or extremely close to the sum from one to fifty of the (square root of x)/10. Is there anything here or...
I am curious as to whether this pattern will always hold true:
Let's say we take the prime numbers:
and we take the square(individually) minus 1
3,8,24,48,120,168,288,360,528....p^2 - 1
Then starting with the third p^2 - 1 (24), all of the p^2 - 1 can...
If I am traveling at a good fraction of the speed of light (.9c for example) toward an object, how would the distance between the object and myself from my viewpoint compare to the that of an observers viewpoint
This may sound stupid, but it has always confused me. If you take a line and break it into infinitely smaller pieces, you would have miniscule lines while approaching infinity, yet at an "actual" infinity what is left is just points. What bothers me is, what happens inbetween. Is there some...
I was having this discussion in my math class today, and my teacher said that it was not something that he couldn't explain in a manner that we would understand. So the question is, are there more positive integers than primes, or no?
Lets take the cantor middle thirds set as an example (Iterate by removing the middle portion of a line segment) If this was done an ACTUAL INFINITE number of times, would you be left with line segments, points, or neither?
I understand hhow to use the chain rule for a simple 2 part composite function, however, I tend to have problems when it gets past that. Can someone please help me master these complex derivatives, or just a few quick tips would be nice
I know that Einstein said that gravity is the curvature of spacetime, but I'm a bit confused as to what happens as a massive body moves through space. When a body is in a certain position, it warps that area of space, but as it moves past that particular area, how does the area of space that...
I have a chem test 2mor and i keep getting stuck on this problem
A 150.0g sample of metal at 75.0 degrees C is added to 150.0g of water at 15.0 degrees C. The temperature of water rises to 18.3 degrees C. Calculate the specific heat of the metal, assuming that all the heat lost by the metal...
(Cr(N2H4CO)6)4(Cr(CN)6)3 + KMnO4 + H2SO4--yields-- K2Cr2O7 + MnSO4 +CO2 + KNO3 + K2SO4+ HOH under acidic conditions
this is an oxidation reduction reaction and i am using the ion-electron method to balance the equation, however, i am having trouble breaking it into its smaller equations--can...
how would you solve for the sum of the first 50 terms of 1/(n(n+1))
I know how to do it if there is a common denominator--but i cant seem to find one here, can someone please help(btw, question on a test i just had that i couldt figure out, not hw)
An unknown alcohol is analyzed by combustion. When a 1.50 gram sample of the compound (containing C, H, and O) is burned, 3.30g of CO2 and 1.80g of H20 are produced. Determine the empirical formula of the compound.
What I did was find the number of grams of Carbon and Hydrogen that are...
I have heard a lot of talk about primes in the form of 4n+3 being infinite, but no one can seem to prove that 4n+1 is infinte. Why is this? Also, if someone disproved it, wouldn't that mean that all primes after a certain number had to be in the form of 4n+3
this question may sound kind of dumb, so if it is, i apologize, but let say you have a line with a point taken out of it. (<------- -------->) since a point does not have a defined length, how could you prove that the line is now two rays, and not still a line, because it seems a bit...
feynman's "every possible trajectory theory"
does feynman's "every possible trajectory theory," where quantum particles travel through all pths before reaching an endpoint, mean that they also travel into the past?