Recent content by kfdleb

Homework Statement A block of weight W is being pulled over a table by another weight Wo, as shown in the figure. Find an algebraic formula for the steady velocity U of the block if it slides on an oil film of thickness h and viscosity μ. The block bottom area A is in contact with the oil...

first, the best thing is to solve it using separation of variable i.e. as an ODE as u did u get X''(x)-CX(x)=0 and T'(t)-CT=0 i think ur missing something in the given such as u(0,t)=u(2\pi,t) if so the solution would be X''(x)+L^2X(x)=0 X(x)=Acos(Lx)+Bsin(Lx) with L=-n^2*(pi)^2/(2pi)^2 the...

Homework Statement f is of bounded variation on [a;b] if there exist a number K such that \sum^{n}_{k=1}|f(ak)-f(ak-1)| \leqK a=a_0<a_1<...<a_n=b; the smallest K is the total variation of f I need to prove that 2) if f is of bounded variation on [a;b], then it is integrable on [a;b] 2...

10x a lot

URGENT: Integral of (n+1)th derivative Homework Statement let f(n+1) be integrable on [a;b]; show that f(b)=\sum \frac{f(r)(a)}{r!}(b-a)r +\frac{1}{n!} \int^{a}_{b}f(n+1)(t)(b-t)ndthint:integrate by parts and use inductionPLEASE any idea about how to solve it would be really appreciated...