The discussion focuses on simplifying the parametrization of the equation z² = x² + y² for surface integrals. Participants suggest using cylindrical coordinates (r, θ) or spherical coordinates (ρ, θ, φ) as effective methods for parametrization. It is established that z can take on two values in both coordinate systems, which simplifies the process of integration. The key takeaway is that both cylindrical and spherical coordinates provide a clearer approach to handling this equation in surface integrals.
PREREQUISITESStudents studying calculus, particularly those focusing on surface integrals, as well as educators and tutors looking for effective methods to teach parametrization techniques.
smochum1 said:Homework Statement
can someone help me how to parametrizise this z^2 = x^2 + y^2
Homework Equations
I am doing Surface integral, i get the rest i just need to know how to parameriize this in a simplier way
The Attempt at a Solution
x=x y=y z=(x^2 + y^2)^(1/2)