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Chapter 8 (8.1 Arc Length (distance formula, endpoints of each segment,…
Chapter 8
8.1 Arc Length
distance formula
endpoints of each segment
circumference is the limit of lengths of inscribed polygons
The Arc Length Function
Mean Value Theorem
symmetric form
8.2 Area of a Surface of
Revolution
a circular cylinder
a circular cone
frustum of a cone)
continuous derivative.
surface area
8.3Applications to Physics and Engineering
Hydrostatic Pressure and Force
Moments and Centers of Mass
8.4Applications to Economics and Biology
Consumer Surplus
Cardiac Output
Blood Flow
8.5 Probability
continuous random variables
probability
density function f.
Average Values