Homework Statement
One mole of an ideal gas is in a container with a moveable piston. A 100 N force moves the piston down 1 m; the compression is isothermal.
Does 100 J of energy leave the gas or enter the gas?
Homework Equations
W=Fd
U=Q-W=Q-P(Vf-Vi)
The Attempt at a Solution...
Homework Statement
I know for example that a=dv/dt and v=dx/dt. I was wondering whether there are similar relationships for things in electrostatics. I have to internalize all of these formulas (for electrostatics), so I was hoping to understand them in a calculus-based sense in order to...
Homework Statement
I've attached a picture of the molecule. The question: at which molecules (s) would it be likely that there would be a nucleophilic attack?
Homework Equations
The Attempt at a Solution
The answer key says a and c, only. However, I think that b is nucleophilic because...
Homework Statement
An object is at rest and stays at rest, but a rope attached to it is pulling with increasing force. What is the acceleration?
Homework Equations
F=ma
The Attempt at a Solution
The solution is that acceleration is constant and 0. Obviously a= dv/dt =0, since...
Hi Everyone!
This is my first question for programming. I have very little experience, so if you could explain as simply as possible.
I have a list of output that actually looks like this:
# Query: 2678.m000169 conserved hypothetical protein
# Database: EST_matched_Genome.fas.txt...
Homework Statement
Suppose S,T ∈ L(V) and S is invertible. Prove that if p ∈ P(F) is a polynomial, then p(S*T*S-1)=S*p(T)*S-1.
Homework Equations
none
The Attempt at a Solution
Suppose by contradiction that for any p ∈ P(F),
p(S*T*S-1)≠S*p(T)*S-1 for any p ∈ P(F).
Since this is true for...
four 100 kg people are holding a 1200 kg inflated balloon by means of four ropes. three people let go and the balloon accelerates upward at 2 m/ s/s. what is the tension in the rope the last person is holding?
Hello,
A(rB) = r(AB) =(rA)B where r is a real scalar and A and B are appropriately sized matrices.
How to even start? A(rbij)=A(rB), but then you can't reassociate...
Also, a formal proof for Tr(AT)=Tr(A)?
It doesn't seem like enough to say the diagonal entries are unaffected by...
This is going to be kind of a long post, and I'm citing the author because it's directly from a textbook, but I'm assuming this proof is standard and I won't be doing anything unethical. I'm basically going to post it with my questions interrupting the text. I'm not sure how he got from some...
Hi!
First ever class of Modern Algebra today. I have a question about the well-ordering principle, introduced in class. This seems awfully foreign to me, as I haven't had a single theoretical math class. I'm worried that this question is super stupid so I elected to post it anonymously to the...
Hello,
I just took ordinary diff eq and I've had calc III and linear algebra, but I'm worried about taking Modern Algebra or Real Analysis next semester because I have no experience writing proofs. The linear algebra class was all computation on tests and homework (we did see some proofs on...