Homework Statement
z=x^2+y^2 and x^2+y^2+z^2=2...I need to find the intersection of these two surfaces. Would I just substitute z=x^2+y^2 into the equation of the sphere to find the curve of intersection? But when I do that I get an equation with fourth powers and I don't know what kind of...
z=x^2+y^2 and x^2+y^2+z^2=2...I need to find the intersection of these two surfaces. Would I just substitute z=x^2+y^2 into the equation of the sphere to find the curve of intersection? But when I do that I get an equation with fourth powers and I don't know what kind of curve that makes.
Ah, well the only downward force is gravity, so I just need to find the max velocity while mg is greater than the centripetal accel. I think I can figure that out then. Thanks
I'm doing problems modeling particles in uniform circular motion and one is about a car going over a speed bump. I figured out the problem, but then it asks "What is the max speed the car can have as it passes this highest point without losing contact with the road?" I'm not sure what this...
I'm in a linear algebra course and I thought I understood the idea of putting vectors into matrices, but now I seem to be confused. When do you put the vectors into columns and when do you put them into rows? Also, what is the definition of a standard matrix and how do you compute it?
Thank...
river/boat velocity problem
Ok, so what I have so far is that this might be a relative velocity problem. I know the velocity of the boat relative to the Earth is 2.2m/s. I also know that if he aims upstream 40 degrees in still water, he will go further than 130 m. I'm just not really even...
In order to get across a river that's 300m wide at a distance 130m upstream, a boat must angle at 40degrees. The velocity of the boat in still water is 2.2m/s. What is the velocity of the river?
Thanks for the help!
AstroKat