- #1
rjs123
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Homework Statement
The path of a particle is given for time t > 0 by the parametric equations: x = t +2/t, y = 3t^2
a. Find the coordinates of each point on the path where the velocity of the particle in the x direction is zero.
b. Find dy/dx when t = 1
c. Find d^2y/dx^2 when y = 12
The Attempt at a Solution
a. No horizontal tangents...dy/dt = 6t...= 0 when t = 0...but t must be greater than 0 (condition)
b. dy/dx = (dy/dt)/(dx/dt) = 6t/(1-2/t^2) = -6...when you plug in 1
c. stuck on c at the moment