Distance from Origin to Moving Point: y=x^2+1, dx/dt=2cm/s

  • Thread starter Thread starter mattsoto
  • Start date Start date
  • Tags Tags
    Origin Point
mattsoto
Messages
5
Reaction score
0
"Find the rate of chage of the distance between the origin and the moving point on the graph of y=x^2+1 if dx/dt=2 centimeters per second."...im sure it is a simple problem...any help?
 
Physics news on Phys.org
You'll get more response if you describe what you've tried or what you are thinking.
 
What IS the distance between the origin and any point (x,y)?

What is the distance if the point lies on the curve y= x2+ 1?

Hint: In problems with distances, it is often simpler to work with "distance2" than with distance itself!
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top