- #1

paraboloid

- 17

- 0

**[Solved]How fast is the distance between the cars changing at this moment**

I'm in need of help with the last part (finding dz/dt).

I'm sorry I don't know how to use latex.

Let D refer to partial derivatives.

This was my attempt best try:

Given dz/dt = Dz/Dt*dx/d+ Dz/Dt*dy/dt and z = (x^2+y^2)^(1/2),

2z*dz/dt = 2x*dx/dt + 2y*dy/dt

2(.36+.49)^(1/2)*dz/dt= 2(.6)(-55)+2(.7)(-60)

dz/dt = (2(.6)(-55)+2(.7)(-60)) / (2(.36+.49)^(1/2))

dz/dt = -81.3489

Any help would be great,

thanks

Last edited: