Recent content by JoeSabs

Homework Statement Let Y be a topological space. Let CY denote the cone on Y. (a) Show that any 2 continuous functions f, g : X --> CY are homotopic. (b) Find (pi)1 (CY, p). Homework Equations I have no idea. The professor said one problem would be way out in left, to see who could make the...

This test question is really boggling me and my math group. Any help would be appreciated. We know that AT*x=AT*b is the setup, but we're not so sure how to approach the problem most effectively. Here's the question: Use the data below to find an approximate formula for the life expectancy in...

Homework Statement If a string wound around a fixed circle is unwound while held taut in the plane of the circle, its end P traces an involute of the circle. In the accompanying figure, the circle in question is the circle (x^2)+(y^2)=1 and the tracing point starts at (1,0). The unwound...

I'm working backwards at the moment, plugging the answers given into the problem. They don't give derivatives which equal zero.EDIT: Figured it out. Thanks! My Prof Said I was wrong :( Can someone show me the work for this problem? I'm not sure but I think I may have made a sign error.

Right, so the derivative of a local max/min is 0. does that mean i have to find the third derivative to find the max/mins for a(t)? As for periodic functions, they repeat, so they have a max and min that repeats. I'm not asked for the absolute max/min, so I'm assuming they want the relative. so...

Homework Statement A particle moves around the ellipse ((y/3)^2)+((z/2)^2)=1 in the yz-plane in such a way that its position at time t is r(t)=(3cost)j+(2sint)k. Find the maximum and minimum values of |v| and |a|. (Hint: Find the extreme values of |v|^2 and |a|^2 first and take square roots...

Ah, I see! Plug in before trying to simplify. That's very easy, just out of the normal order of operations I'm used to. Thanks a lot!

Homework Statement r(t) is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then find the particle's speed and direction of motion at the given value of t. Write the particle's velocity at that time as the product of its speed and direction...