The planned path of a UFO is defined by the equation

y=0.25x^4 + 0.6667x^3 for x > 0

units are in km

(a) Find the direction of motion when the x-value is 2 and 3

(b) Find a point on the UFOs path where it is inclined at 45 degrees to the positive x-axis.

(c) Are there any other points that are similar to (b).

If someone could help i would be very greatful