Say we have a roller coaster, and we want to calculate the speed the roller coaster can go at barely making the loop. Normally, the equation would be n+w=m*v^2/r, but why do we set normal equal to zero when we're solving for the minimum speed? Where does the normal come from on top of the roller...
aha! I think i got it, so if the slope of dy/dx is 0, either the change in y (dy) must equal 0 OR the change in x (dx) must be infinity? and if the y isn't changing, then the slope will not change after it theoretically reaches 0, because dy/dx is dependent on y itself?
but isn't it not enough information just to assume that whenever dy/dx=0 when the y value is making the dy/dx 0? I mean, I see where you're comming from with as x approaches negative infinity or infinity dy/dx has to approach 0 but I don't understand how you can just tell from the equation that...
Hi guys, I just have a very broad and general question.
Today in math class I was asked to solve the horizontal asymptote of a differential equation, and this had me stumped.
Later on, the teacher gave me the following two examples:
dy/dx=x-2
and
dy/dx=y-2
The solution to the first equation...
that's really weird because I've never seen this happen with any other function, is there an example that you can give where the result will be replicated?
Hi everyone, I've discovered quite a strange function in my textbook. I compared the calculator's calculated derivatives (Math->nDriv) with my calculus derivative and found that the two are almost 2000 units off! Up until now I've been trying to figure out the problem, but to no avail, I cannot...
Homework Statement
Differentiability-
Okay, so I understand that a function is not differentiable if there are either:
A. A cusp
B.A jump
C. f(x) DNE
D. Vertical tangent
E. Pretty much if there isn't a limit there is no derivative which means its not differentiable.
How would one find the...
For example, I have a floating disk,and there are four propulsors, the propulsors of this disk could generate unlimited opposing force (to the gravity). Let's say this disk weighs 100 grams and I want to find out the gravitational pull on this object and the opposing force required, how do I do...
Ok... well, so if i keep on exerting force upon the "rocket" I can achieve a build-up in the rocket's velocity right? So it'll keep on going faster and faster... is that correct?
According to Newton's first law of motion: "An object at rest will remain at rest and an object at motion will remain at a constant velocity unless acted upon by an external force."
I was just wondering if this law applies to space; since there are no friction in air and little to no gravity, I...
Hey guys, I was just chekin out some vids on youtube and found this. Of course, this is too hard for me to understand "yet". Please watch this video and tell me if this guy's just a lame liar or he actually knows what he's talkin about. Thanks!