MATH-M 212 Lecture Notes - Lecture 5: Frustum
Document Summary
Section 7. 4 notes- arc length and surface area. Arc length: length of curves can be found using integrals. Function must be rectifiable- continuously differentiable (smooth curve: split arc into infinitely short straight segments. Add up all individual segments: definition of arc length. Let the function represent a smooth curve on. Find the length of (semicircle). o o o o o o o o o domain of arcsin restricted to. Using as a function of , find the length of o. Surface area: technically finding lateral area (bases never included, representative slice must fit basic shape of a frustrum (truncated cone) instead of disk or washer. La of frustrum = where average of radii, slant height (arc length: surface of revolution- surface resulting from revolving graph of continuous function around a line, definition of area of surface of revolution. Any sa can be around horizontal or vertical axis; radius can be horizontal or vertical.
