Recent content by smutangama

Homework Statement Find all solutions to the equation Homework Equations z^(2/3) z=1+i The Attempt at a Solution I put it in polar form and got √2e(∏/4)i Then took the power of that while adding 2∏ni and got (√2e(∏/4) + 2∏ni)^(2/3) so the argument here is ∏/6 + (4∏ni)/3 The...

Thanks! i just hit myself in the head for not noticing that. I guess stress can really screw with your mind. Thanks again.

What other methods can I use? Can you please explain them? Thanks

Homework Statement I can't really post every single equation he used but I still need the help. I can follow him fine up until about 03:15 where he says, "I'm going to pick clever values for P" Are you allowed to do that? How do you know what "clever values" to use and how do you apply...

how did you get the cos2θ? I can't seem to follow the math

Homework Statement Generally the inverse cosine of any number > 1 Homework Equations cos x = 2 The Attempt at a Solution Obviously by putting this in a calculator, you get an error so the root has to be complex I used the identity (eiθ+e-iθ)/2 = cosθ through a bit of...

@harupex, it doesn't really say original lengths of sides would be L/cosθ new length vertical wire δ+L new length when p displaced is (L+δ)/cosθ strains in vertical δ/L For side bars strain in side beam(((L+δ)/cosθ)-(L/cosθ))/(L/cosθ) or δ/L so δ/L is strain and using...

Homework Statement I'm supposed to find the forces in the members as functions of P ans θ. Same Young's Modulus and area for all of them which is E and A and then calculate the vertical deflection. Homework Equations none The Attempt at a Solution I named the members from...

my understanding is if it converges, the total sum is the limit of the sequence or something along those lines. Maybe I just have the entire concept wrong, that's why I'm finding it confusing. Can you please help me with a simple explanation of the two?

I used a method where I divided the numerator and denominator by the highest power which was n^3. From there I was left with 0/1 which is zero. Was that right?

I'm sorry, I'll post better next time. I'm new to the site and still trying to get used to things. I am not really good at limits. It confuses me. I needed help with the question, I came up with zero at the end but I wasn't sure if I was right. Also does this mean it diverges?

Don't really know how to get round this, the -1^n confuses me. Homework Statement Determine whether the following sequence {an} converges as n→∞? if it does, find limn→∞an Homework Equations an=(3n+(-1)n )/ (n3+2) Homework Statement