Recent content by defaultusername

Homework Statement Suppose you’re on a game show and you’re given the choice of three doors. Behind one is a car, behind the others are goats. You pick a door, say number 1, and the host, who knows what’s behind the doors, opens another door, say number 3 which has a goat. He says to you, “Do...

Thanks for your help!

Homework Statement I feel so stuck. Given the Logistic Equation: $$\frac{dP}{dt}=kP(1-\frac{P}{A})$$ a.). Find the equilibrium solutions by setting $$\frac{dP}{dt}=0$$ and solving for P. b.). The equation is separable. Separate it and write the separated form of the equation. c.). Use partial...

Homework Statement Use Mathematica to calculate the Gaussian curvature of the plane Ax+By+Cz=D, in which A, B, C, and D are constants and C≠0. Use the following data: Homework Equations The Attempt at a Solution First I found the line curvature. As here: That code gets the result = 0...

Ok, so I tried to do it in a CAS. Here is what I got...not sure how right it is though.

Homework Statement A metal wire is given a ceramic coating to protect it against heat. The machine that applies the coating does not do so very uniformly. The wire is in the shape of the curve The density of the ceramic on the wire is Use a line integral to calculate the mass of the...

Thank you for clarifying! Yes, that is exactly what I was trying to figure out. Sorry for the late response...unexpected family issues arose. But yes, from there I was able to get it solved.

Homework Statement I am going to paste the problem word for word, so you can have all the exact information that I have: You’re part of a team that’s designing a rocket for a specific mission. The thrust (force) produced by the rocket’s engine will give it an acceleration of a feet per second...

Homework Statement When talking about an Atwood machine, a student states: Is the student correct or incorrect? Why? Homework Equations Tension = mg + ma The Attempt at a Solution This is how it is making sense in my mind, but correct me if I'm wrong. I am thinking that the student is...

Got it! Thanks for your guys' help!

Homework Statement r(t) is the position of a particle in the xy-plane at time t. Find an equation in x and y whose graph is the path of the particle. Then find the particle’s velocity and acceleration vectors at the given value of t. Homework Equations First derivative = velocity...

Oh! Duh! Thank you!

Rather than multiply, I take the 11.93th root of 9856? When I plug it into my calculator I get the correct answer, but I am concerned that when I do it by hand I am going to mess it up. :/

Yeah we have to memorize it. I have no idea where it came from lol When I punch it into my calculator I get the same answer. So I tried breaking it down algebraically as follows. I still ended up with the same weird number. Am I plugging the values into the wrong places?

Homework Statement Sam, whose mass is 75 kg, stands at the top of a 12-m-high, 100-m-long snow-covered slope. His skis have a coefficient of kinetic friction on snow of 0.07. If he uses his poles to get started, then glides down, what is his speed at the bottom? Homework Equations v =...