Write the equations
i) x^2 - y^2 - 2z^2 = 4 and
ii) z = x^2 - y^2 in
a) cylindrical coordinates
b) spherical coordinates
give detailed explanation for each step of the solutions.© BrainMass Inc. brainmass.com June 23, 2018, 8:16 am ad1c9bdddf
phi == p = angle in x-y plane with respect to X-Z plane
x = r*cos(p)
y = r*sin(p)
z = z
substitute the values in x^2 - y^2 - 2z^2 = 4
=> r^2 * cos^2(p) - r^2 * sin^2(p) - 2z^2 = 4
=> r^2 * cos(2*p) - 2z^2 = 4 ...
Cylindrical and spherical coordinates are determined.