So then what do you do from there? f_z = 2xz + g_z and we know that f_z = 2xz so that g_z = 0 and g = h(y), is that right? That would give the right answer.
Hold on, I'm trying to fix what I typed, as it doesn't match my paper here... alright, fixing the first thing fixed the second thing, so now this reflects how I did the problem.
Alright, so the field is \mathbf{F} = (z^2 + 2xy,x^2,2xz)
it's a gradient only when f_x = z^2 + 2xy, f_y = x^2 and f_z = 2xz
integrate the first equation with respect to x to get f(x,y,z) = \int z^2 +2xy\,dx = xz^2 + x^2y + g(y,z)
now, f_z(x,y,z) = g_z(y,x) which is 2xz
integrate that with...
Please help me with this, it's one of the 'basic' problems and I can't do it at all. "The chains suspending a child's swing are 2.00 m long. At what frequency should a big brother push to make the child swing with largest amplitude?"
Okay, so... the largest amplitude comes with a natural...
Umm, that is the only project. 22 out of the 29 kids in the class have decided to do the project over the final, so they all picked something. http://www.math.usf.edu/mug/structure01.htm" .
I haven't looked over the previous projects yet, and I see now that there are several completely retarded...
So I got my calc 2 final this week, and I'm doing it in leau of doing a calculus project. In case I fail the test too hard, I'd like to see if I can get a project done before the semester ends.
The project involves going out and finding a business that could use calculus to make something...
For m1, T - fk1 = SigmaF1. SigmaF1 = m1 * a.
T - 11.8N = 12.0kg * 1.29m/s^2, T = 27.28 or 27.3N which is almost right... did I do that correctly and I just rounded too early, or is that just a coincidence?
Thanks for the response. For m1, I have fk1 with a horizontal negative force, T with a horizontal positive force, n1 and m1g opposite and equal. For m2 I have fk2 and T horizontal negative, F horizontal positive, and n2 and m2g opposite and equal. The tension for both of those is equal... and...
Two blocks connected by a rope of negligible mass are being dragged by a horizontal force F. F = 68.0N, m1 = 12.0kg, m2 = 18.0kg, and coefficient of kinetic friction between each block and the surface is 0.100. I need the tension of the rope and the acceleration of the system...
A train slows down as it rounds a sharp horizontal turn, slowing from 90.0 km/h to 50.0 km/h in the 15.0 s that it takes to round the bend. The radius of the curve is 150 m. Compute the acceleration at the moment the train speed reaches 50.0 km/h. Assume it continues to slow down at this time at...