Recent content by makegooduseof

Yes, much clearer, thank you. So basically you're saying that when I set the interval for t, it doesn't always have to be from 0 to 1, and based on what I see on the graph, I don't always need to use the equation I mentioned earlier?

I'm sorry, I don't quite understand your explanation. Do you think you could frame this based on the problem I uploaded?

Homework Statement Evaluate a line integral where C is the triangle with the vertices (0,0), (1,0) and (1,2). [Green's Theorem not allowed] I am omitting the integral expression as I am having trouble with setting up the r(t) expressions for each C. Homework Equations r(t) =...

I find this one easiest to comprehend. Then based on that logic, you could possibly reverse the limits - so using your swivel chair analogy, I can be sitting on a swivel chair that's attached to a wall, and spinning would look like I'm brushing vertically 2pi, while horizontally it'd appear 1pi.

I'm sorry, I understood you until right after drawing an arbitrary position vector. Could you possibly "dumb it down" a bit more?

I'm not sure whether this falls in the homework category, or the standard calculus section, so apologies in advance if this doesn't fall in the right category. Homework Statement Evaluate ∫∫∫e^[(x^2 + y^2 + z^2)^3/2]dV, where the region is the unit ball x^2 + y^2 + z^2 ≤ 1. (or any...