Recent content by Quadrat

Yes! Two sign errors I'm afraid! Edited now. Oh okay, so if I guess a root and divide the polynomial with that factor (x-a) I'd be done? :) The factor theorem, right? (Still on mobile, going to try this when I get home!)

Yes, that's correct! (On mobile unit with bad reception). Edited it now! :)

Homework Statement I just want to know how get from ##4x^3+3x^2-6x-5=0 ## to ##(x+1)^2(4x-5)=0##. What's the trick when dealing with these nasty polynomials? I got the answer by taking another approach (solving a root equation) but I noted this is also a way to go, but I can't figure out the...

That's what I did. Starting from ##a=0## to ##a=15## ##h(0)=1## ##h(1)=-1/sqrt(2)## ##h(2)=0## ##h(3)=1/sqrt(2)## ##h(4)=-1## ##h(5)=1/sqrt(2)## ##h(6)=5*E(-13)## ##h(7)=-1/sqrt(2)## ##h(8)=1## ##h(9)=-1/sqrt(2)## ##h(10)=-5*E(-13)## ##h(11)=1/sqrt(2)## ##h(12)=-1## ##h(13)=1/sqrt(2)##...

Homework Statement [/B] The function ##f##, ##{f: ℤ → ℚ}## defined as ##f(a)=cos(πa)## The function ##g##, ##{g: ℚ→ ℝ}## defined as ##g(a)=(5a)/4## Let h be the composite funciton ##h(a)=f(g(a))## What's the range of this function h? Homework Equations [/B] ##h(a)=cos(5πa/4)## The domain...

That's the thing. When I think of what comes to mind intuitively is that it might cancel out completely or just become a permanent standing wave (bad expression maybe). I know that cos(-theta)=cos(theta) but then there's the negative sign in front of it all. Does this flip it about the y-axis to...

Can someone please help me figure out how to tell the direction of the wave in ##2d##?

I messed up with the chainrule on that one obviously. I get ##a## to be false [2A=(-2)A] but ##b## to be correct. So ##b## is traveling in the negative x-direction. I also took the second partial derivatives in ##1## and the partial derivative with respect to ##x## is ##Ag''(x-vt)+Bh''(x-vt)##...

For the first two in ##2## I don't see how they would work out. The second two I can solve the wave equation with (using that omega=2*pi*f, v=lambda*f and k=2*pi/lambda). But for (d) I can't figure out the direction of the wave. How do tackle that? And regarding the first question- should I...

Homework Statement [/B] I found a couple of assignements for a physics course I will take later this year- so I started looking into them a bit in advance. It concerns wavefunctions. I'm a bit rusty on my trigonometric identities So I would love if someone could try to help me solve these two...

You're right, thanks! Thanks for taking your time to help me!

Homework Statement An electron with velocity ##\vec{v}_0=8.7*10^4(m/s)## (in the î direction) passing through an area with a uniform magnetic field ##\vec{B}=0.80 T## (in the negative k̂ direction). There's also a uniform electric field in this area. What is the magnitude and direction of...

Cool, thanks! Yeah so the emf in ##C## is twice that of ##A## and ##B## during the whole period that all the loops still are subject to an induced emf, right? =)

Homework Statement [/B] Three conducting loops, all with the same resistance ##R## move towards a uniform and constant magnetic field, all with the same velocity ##v##. Their relative sizes can be identified by the grid. As the loops move into the magnetic field an induced current begins to...

Well I know that ##12345^2=25 (mod 100)## but I'm having trouble using this to get on with the calculations. I figure there's some easy trick since the exponent is such a ridiculously large number. How do I proceed (if my findings are meaningful that is)?