First: Find a parametrization of the given curve:
The graph of 3x^2 + y^3 = 1 in R^2 for x, y >= 0
Second:
This vector function represents the trajectory of a moving object in R^3. compute velocity, speed, and acceleration.
c(t) = e^t*cos(t)i + e^t*sin(t)j + tk
Thanks.