Calculus of a Single Variable, Chapter 10, 10.2, Section 10.2, Problem 5

x=t^3 -----------------(1)
y=t^2/2 -----------------(2)
Draw a table for different values of t and plot the points obtained from the table.Connect the points to a smooth curve.( Refer the attached image).
From equation (1),
t=x^(1/3)
Substitute t in equation (2),
y=(x^(1/3))^2/2
y=x^(2/3)/2
Rectangular equation of the curve is y=x^(2/3)/2