haha thanks so much everyone!
Every triplet has a multiple of 3. The first triplet survives this because the multiple is 3 itself, and 3 is prime. However, every triplet after the first will contain a multiple of 3 which by the definition of prime numbers means one element is not prime.
So...
So,
Prime triplet: if p is prime, then p+2 and p+4 are also prime.
Prove that 3,5,7 is the only prime triplet.
I have figured out that
p = 2k+1, k > 1
then p+2 = 2k + 3 and p + 4 = 2k+5.
I figure there will be three cases to prove i.e.
p (prime), p + 2 (prime), p + 4 (not...
Hello. I started Gallians Contemporary Abstract Algebra today. Is it wise to go through each of the given proofs for all of the theorems. For example I just studied the proof for division algorithm. Took Quite some time. I don't know if I could have produced this proof without peeking at the...
Units of Impulse are kg*m/s --> N s; and momentum is N*s. Correct? and If the impulse value
11277.896N*s + (-21800.9N)t = 0 --> t = -11277.896N*s/-21800.9N = t (seconds)
(kg*m)/s * s*s/(kg*m) --> s
For some reason I believed that Force and Momentum had the same units...Now I see the error of...
Does this seems right at all? The system we use docks points off of our total score if we try and fail..So in the spirit of not trying because of fear of failure a little assurance would be great. In other words, if you say No that is wrong then I can go back to the drawing board, else I already...
So I see that my initial move was naive..haha
I rethought the problem. Right before impact my momentum will be 11277.896N.
If I don't want to destroy my motor I need to only contact the wall (If i could be so lucky to choose) for a very small amount of time so that my Impulse = 21000.9 N...
Homework Statement
In a crash test a solid concrete wall is
used to test crashworthiness. A particular
SUV weighs 338.183 kg and is accelerated to
33.3485 m/s before colliding head on with the
barrier.
What impulse must be applied is required
to stop the SUV?
This gives Impulse =...
I am working on a BS in Computer Science. Differential Equations isn't a required course. I only needed to take all of calculus. Linear Algebra I am taking this semester. Then I can choose another math course.
I have studied both single variable and multivariable calculus. I was younger and spent hardly anytime on them but did fairly well at the university level. I regret now that I did not master the subjects as I have an intense passion to learn ODE's. Do you think I should start studying...