Recent content by colonelone

Homework Statement What do you do if one of the roots to the characteristic equation of a differential equation is zero when using variation of parameters? Homework Equations The Attempt at a Solution The problem I encountered this in is y" - y' = 4t Characteristic equation r2 - r = 0 so...

Anybody?

Homework Statement A cylindrical buoy with diameter 18 in. floats in water with its axis vertical. When depressed slightly its period of vibration is found to be 2.7 seconds. Find the weight of the cylinder. Homework Equations I know that an object submerged in water is buoyed up by a...

For some reason when I plug in the numbers I get an arc length of 118.693625. Also, where did the 1/60 and 1/30 come from? It seems like you were plugging in ( 40 - x) / 900 for tan(s) instead of ( 40 - x ) /30

We haven't learned about hyperbolic functions yet. Is there a way to do it without using sinh, i.e. by using trig sub and integration by parts.

I mean after all the trig sub, the final equation that you substitute 85 and 0 into.

What equation did you use to evaluate s(x)? Once I redid/rechecked everything I got s(x) = 15 [ sqrt [ 1 + ( ( -x + 40)/(30 ) )2 ] * ( ( x - 40 ) / (30) ) + ln [ sqrt [ 1 + ( ( -x + 40)/(30 ) )2 + ( ( x - 40 ) / (30) ) ]

Homework Statement Given y = 156 - (x - 40)2/60. x = 0 and x = 85 Find distance traveled Homework Equations Arc Length S = integral of square root of ( y' )2 The Attempt at a Solution Doing this I get the trig sub tan(t) = (x - 40)/ 30 (Told by teacher to use this instead of...