Yeah I realized after I posted, I edited my post so I did not to confuse anybody, I still have lots of mathematics to learn myself but I thought I could help this guy but made a mistake myself o:)
There are sometimes roots which do not satisfy the original equation these are called 'extraneous solutions'. Khan academy has videos explaining this far better than I ever could.
Edit: I read equation wrong :(
Homework Statement
Show that (sin^4 x + (sin^2 x * cos^2 x)) / (cos^2 x - 1) == -1
Homework Equations
Sin^2 x + cos^2 x == 1
The Attempt at a Solution
(sin ^4 x + (sin^2 x * cos^2 x)) / (cos^2 x - 1)
= ((sin^2 x)(sin^2 x) + (sin^2 x * cos^2 x)) / (cos^2 x - 1)
=((sin^2 x)(1 - cos^2 x) +...
Oh, I think I understand now the derivative of distance as a function of time = instantaneous speed, for some reason I was treating it as constant speed. So, if a car starts of at -10m/s and accelerates at 5m/s^2 then at time = 2 seconds it's speed is equal to zero while it maintains an...
Newton's laws state an object will remain at rest or in motion until an unbalanced force acts upon it, so does the acceleration not effect the motion of the car and therefore its speed?.
Homework Statement
I understand how to solve for stationary points, and then take the second derivative and input the values of x to determine the nature of the stationary points, if x > 0 then the stationary point is a minimum and if x < 0 then the stationary point is a maximum. What I am...
This is just a question I posed to myself while learning about waves, I was wondering how the volume of an audible noise is increased or decreased, is it related to the compression of the wave and therefore the force generating it? If somebody could explain this in mathematical terms or provide...
Homework Statement
Calculate the tension in the rope, T, in the diagram below: http://imageshack.com/a/img905/2848/yMC01l.png
Homework EquationsThe Attempt at a Solution
The 'beam' is a stable structure, thus the resultant forces be equal that are acting upon the beam. So,
I calculated the...