a particle is moving along the graph of y=x^(1/3) when x=8 the y component of its position is increasing at the rate of 1 centimeter per second how fast is the x component changing at this moment

Answer 1

y = x^(1/3)

dy/dt = 1/3 ÷ x^(2/3) dx/dt
plug in the numbers:
1 = 1/3 ÷ 4 dx/dt
12 = dx/dt