Question

Am I understanding the parameterization of this sphere correctly? (Image attached.)

Answer 1

@eliassaab

Answer 2

yes that looks good

Answer 3

Cool, thank you. The book was a little unclear. (Varberg, Calculus 9e)

Answer 4

\(\rho \) : distance from origin
\(\theta \) : angle with positive x axis
\(\phi\) : angle with positive z axis

Answer 5

when you're on a sphere of radius 5, the distance from origin is constant. \(\rho = 5\)

Answer 6

i see you're familiar with spherical coordinates :)

Answer 7

Yes, although my introduction was in the first week of physics I this semester, where the posted prereq was calc I. A bit of a shock, to say the least.