1.
How would you change the limits of integration in the above to get the surface of the sphere ONLY in the 1st octant (where all three coordinates are positive)?
Section 5.3 Surface Area of a Sphere
In this video we apply what we have learned previously about surface area for a parametrically defined surface to the specific example of a sphere
Learning Objectives:
- Compute the surface area of a sphere using parametric formulas
TYPO: The change to spherical coordinates is \(x=a\sin(\phi)\cos(\theta),\ y=a\sin(\phi)\sin(\theta),\ z=a\cos(\phi)\text{.}\) I had this correct in my diagram but then briefly summarized the three and interchanged x and y.
