Question

A particle starts at the origin and moves along the parabola y=x^2 such that its distance from the origin increases at 4 units per second. How fast is its x-coordinate changing as it passes through point (1,1) ?

Answer 1

well isn't this related rates....

you can find dy/dx

and you are given dy/dt

so I would find dy/dx

then take the reciprocal to get dx/dy

then use related to find dx/dt

dx/dt = dx/dy * dy/dt

when substitute x = 1

that would be my best guess

Answer 2

oops then... not when

Answer 3

is it 2 ?

Answer 4

well that's my best guess....

Answer 5

I had dx/dt = 4/(2x)

Answer 6

so 2.... ?

Answer 7

yes

Answer 8

cool can you help me with 1 more please lol

Answer 9

sorry... I have to go to golf...