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Arc Length & Surface Area

blackpenredpen via YouTube

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Overview

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Learn about arc length and surface area calculations in this comprehensive 1.5-hour video tutorial. Explore formulas for arc length and surface area of solids of revolution around both x and y axes. Tackle practice problems, prove volume and surface area of a sphere using integrals, and discover Gabriel's Horn and the Painter's Paradox. Master techniques for calculating arc length, area of circular sectors, and lateral areas of cylinders, cones, and frustums. Enhance your understanding of these essential calculus concepts through clear explanations and practical examples.

Syllabus

Arc Length (formula explained).
Surface Area of Solid of Revolution (about x-axis, formula explained).
Surface Area of Solid of Revolution (about y-axis, formula explained).
Q301.
Q302.
Q304.
Proving the volume and the surface area of a sphere by using integrals.
Gabriel's Horn, Painters paradox.
Q308a, Arc length and Area of Sector of a circle.
Q308b, Lateral areas of a cylinder and a cone.
Q308c, Lateral Surface Area of a Frustum.

Taught by

blackpenredpen

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