Recent content by Physics_Math

I agree. Try u=exp(z). du=exp(z) dz. Then you should get a very familiar integral. (The solution will be a trig function)

Your problem is that the derivative of cos2x is not 2*sinx. remember the chain rule...

When you say the relative velocity of the beams, do you mean relative to each other? Try using the Lorentz transformations to get a desired equation. For example the Lorentz transformations lead to time dilation and length contraction. You are looking for a relative velocity equation.

Do you mean that you want a proof of the actual method of integration by parts? If so, then consider the product rule of differentiation: d/dx(f*g)=f'*g + f*g' Now integrate both sides of the equation and you get you proof. Is that what you were looking for?

That hint your book gives you is essentially what I have told you, except I go farther and give you the equation. So you are having trouble drawing the diagram. Ok, well consider that you have two components to the velocity of the water falling from the cliff, a component in the horizontal...

Remember the following: the horizontal component of the velocity will never change (assuming we are only dealing with gravity). So what you need to do is find the vertical velocity that will make the velocity vector point at the desired angle. Then recall from kinematics: vf2=vi2+2*g*d vf...

also remember your trig derivatives: d/dx(secx)=tanxsecx and d/dx(tanx)=sec2x

You seem to have stated the question twice, but differently both times. first you have x' = tx + 6texp(-t^2) and then you write x'-tx=6texp(-2t) Which is the correct form?

What you are doing is simply computing the anitderivative of the vector field. That is not how to calculate a flux integral. There are several ways to compute flux integrals of which you should look up. If the surface is closed (e.g. a sphere) you can use the divergence theorem otherwise known...

Well it just seems like solving a simple linear system: T1 = T2*sin(30)/sin(20) Then just substitute that into the second equation and solve for T2. Then solve for T1.

Ok I actually solved this problem on my own. In the loop I need: sumodd = f(x) + sumodd and then all is swell. :D

I don't believe that is the problem. I've done this same type problem with Trapezoid rule and it works just fine with the same function defined as I have done in the program shown above.

Homework Statement For a function f(x) over the interval [a,b], simpson's rule approximates the defenite integral:\intf(x) dx = h/3*[f0 + 4(f1 + f3+ ...+ f2n-1) + 2(f2 + f4 + ... + f2n-2) + f2n] where h = (b-a)/n fi is f(a + i*h) Given an error epsilon, I need to write an executable program...