Recent content by ETuten

Homework Statement Let {S1,L1} and {S2,L2} be abstract geomettries. If S=S1 ^ S2 and L=L1 ^ L2 prove that {S,L} is an abstract geometry ( where ^ = intersection) Homework Equations The Attempt at a Solution Let {S1,L1} and {S2,L2} be abstract geometries. Assume that S=S1 ^...

it is said to be congruent integer modulo if n|a-b

Homework Statement Prove 10n ≡18 10 for all n ϵ N Homework Equations I have no idea where to even begin this proof. The Attempt at a Solution

I now have this so r=15t-2ax= 15t-2(5s)x= 5(3T)-5(2s)x= 5(3t-2sx)=r since 3t-2sx belongs to Z we have 5|r does that make sense??

It is an if then proof with 5|r being what you are trying to prove.

Homework Statement let a belong to N and x,r belong to Z use the definition of divisibility along with the axioms of Integers to prove that IF 5|a and 15|(2ax+r) then 5|r Homework Equations How do I continue the proof?? The Attempt at a Solution So I have: let a belong to N and...

I am in needof help with the following problem: Premises : Cube(a) v Cube(b) Dodec(c) v Dodec(d) ~Cube(a) v ~Dodec(c) Conclusion: Cube(b) v Dodec(d) I need to add a sentence to the proof that is tautalogical consequence of two of the premises. I just can't see how to make such a...

well my algebra is very rusty to say the least... I have been out of math class a few years, and am working towards going back. If I was sure I was right I wouldn't have asked if it was wrong. Thanks again for all the help.

Thanks for the reply with setting up the Calculus part. Now I know that my algebra is a little rusty, but is there a mistake in the change from the following two lines? Shouldn't it be (8x^2-12x)(x^2+4) not (4x^2-12x)(x^2_4) =\frac{2(x^2+4)^2-(4x^2-12x)(x^2+4)}{(x^2+4)^4}...

Homework Statement y = (2x-3)/(x^2+4)^2 Homework Equations The Attempt at a Solution I am trying to relearn the calculus that I forgot from many moons ago. I am struggling with the chain rule in the above example. I tried to set it up as follows: This is what I know...