Arc length and surface area of parametric equations
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- The Length of a Curve
Find the length of each of the given parametric equations:
- The Surface Area of a Curve rotating about the x-axis
Find the surface area for each of the given parametric equations by rotating about the -axis:
- Applications related to Circles and Spheres
You are given the parametric equations , where . Show that the circumference of a circle is
- You are given the parametric equations , where . Show that the surface area of a sphere is