Recent content by mike1967

opps, ok. I think I solved it now. The limit exists and is equal to 0 epsilon=r delta=r epsilon=delta.

https://plus.google.com/photos/105869685778449284705/albums/5712068745170213361 rethought it, thank you. Does this look more right? Then integrate with respect to t. solve at ∫f(0) for alpha?

I'm not sure where to start then. I figured t=8 because v(t)=5 to x(t)=5t 40=5t 8=t.

Well along the path x=y the limit blows up, 1/0, so then the limit does not exist?

My issue is in lecture my professor made it clear that finding any finite number of ways a function approached the same number did not prove that the lim was equal to that, in this case 0, because there are infinite number of ways (x,y) can approach the point. Does this make sense or did I...

Homework Statement lim(x,y)->(1,0) of ln((1+y^2)/(x^2+xy)) Homework Equations The Attempt at a Solution Used two paths, x=1 y=0 both gave my lim=0 so I tried x=rsin y=rcos, in attempt to use ε-δ to prove it. got to ln((1+r^2sin^2)/(r^2cos(cos+sin))) not sure where to go...

Homework Statement there is a straight river 40m wide. the water speed on the river can be expressed as the function f(x)=3sin(∏x/40) If a boat is to cross the river from point a to point b at a constant velocity of 5 m/s determine the angle the boater should head. Homework Equations...

Yp=3/9xe^x-4/9e^x right?

Homework Statement Find a particular solution Yp of the given equation. Primes denote deriviate with respect to x (method of flexible guess) Homework Equations 4y''+4y'+y=3xe^x The Attempt at a Solution when I used y=Ae^x as guess my A depended on x So y=Axe^x gave me 12A+9Ax=3x...

It ends up they wanted Pf(H2) as 24.5 Pf(Br2) as 4.75*10^-4 Pf(HBr) as 156

Homework Statement at 1000K, Kp=1.2*10^6 and Delta H = -101.7 kJ for the reaction H2(g)+ Br2(g) <-->2HBr. A 0.952 mol quantity of Br2 is added to a 1.00L reaction vessel that contains 1.25 mol of H2 gas at 1000K . What are the partial pressures of H2 ,Br2 ,HBr and at equilibrium?Homework...

I can prove like this: (sorry I don't know how to make look fancy) lim f(a+h) - f(a)/h = f'(a) h->0 lim [f(a+h) - f(a)/h]*h = f'(a)*(h=0) h->0 lim f(a+h) - f(a) = 0 h->0 lim [f(a+h) - f(a)]+f(a) = 0+f(a) h->0 x= a+h h=x-ah lim f(x) = f(a) x->a

Homework Statement If f is differentiable at x then f is continues at x Any help would be great. Homework Equations MUST USE epsilon delta definition to prove The Attempt at a Solution

no =) it such a small number it can be neglected. so ignore the ration. thank you

ignore the speed of light?