Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given a circular sector with radius L and central angle (see figure), show that the area of the sector is given by S = (1/2) L2. (a) By joining the straight-line edges of the sector in first part, a right circular cone is formed and the lateral surface area of the cone is the same as the area of the sector. Show that the area is S = rL, where r is the radius of the base of the cone. (b). Use the result of part (a) to verify that the formula for the lateral surface area of the frustum of a cone with slant height L and radii r1 and r2 is S = (r1 + r2)L
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