Recent content by darkwolfe5

well I've had someone on another site tell me: <quote> ∫ √( 2x² + 1 ) dx = √2* ∫ √( x² + 0.5 ) dx = √2* { (x/2)*√( x² + .5) + (0.5/2)*ln [ x + √( x² + 0.5) ] } between x = 0 and x = √2. </quote> But that doesn't seem to calculate right to me either.

We haven't gotten to polar coordinates yet...that's what we're supposed to start on Monday :-(

Homework Statement the curve y= sqrt(x² +1) , 0 ≤ x ≤ sqrt(2) is revolved about the x-axis to generate a surface. Find the area of the surface of revolution. Homework Equations A = 2π ∫ f (x) * sqrt[1+f ' (x)] dx The Attempt at a Solution I've gotten down to 2π ∫ sqrt(2x²+1) dx...

Homework Statement A loaded ore car has a mass of 970 kg and rolls on rails with negligible friction. It starts from rest and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30.0° above the horizontal. The car accelerates uniformly to a speed of 2.20 m/s in...

So my professor has been kind of lazy lately. he goes through a lot of problems on the chalkboard half way till he says "you can do the rest from here" and a lot of us are raising our hands to ask questions. So there are a number of us not getting the explanations we need to understand what is...