Final answer:
The intersection of the surfaces X² + Y² = 25 and z = 3X² can be parametrized using the equations X = 5cos(t) and Y = 5sin(t).
Step-by-step explanation:
To parametrize the intersection of the surfaces X² + Y² = 25 and z = 3X², we can use the equations X = 5cos(t) and Y = 5sin(t), where t is the parameter.