Understanding 3c 16 6 Part 3
Exploring 3c 16 6 Part 3 reveals several interesting facts. Parametrizing surfaces that are graphs of of functions of x and y or r and theta. We also look at
Key Takeaways about 3c 16 6 Part 3
- We start to calculate the surface area of a sphere.
- More constant surfaces in cylindrical and spherical coordinates; parametrizing a plane.
- Introducing the notion of a parametrized surface; parametrizing the unit sphere in terms of theta and phi.
- We finish deriving the formula for surface area of a parametrized surface.
- A work integral involving a spiral staircase.
Detailed Analysis of 3c 16 6 Part 3
Verifying a vector field is conservative, finding a potential function, and using that to evaluate a work integral. Finding the tangent plane to various types of surfaces. A second example of finding the tangent plane to a parametrized surface.
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