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55. y= 2 sinx andy-D0 on [0, 7); about y=-2

55. y= 2 sinx andy-D0 on [0, 7); about y=-2

Calculus: Early Transcendentals
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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For number 55 the question is shown on the screen and the answer is on paper. My question is how did we get that the radius is 2? And how did we get 2+2sinx is the outer radius. Was it set up like 2sinx-(-2)?

Jo 5 ) lo 5) 15 6.3.55 We use the washer method. For each r, the washer has outer radius 2+ 2 sinr and inner radius 2, so the volume is V = T(2+2 sin r)² – 22) dæ = n | (8 sin a + 4 sin? r) da T | (8 sin x + 2(1 – cos 2x)) dx = T(-8 cos x + 2x- sin 2x = T 0. 01 = 7(8+27 + 8) = 27(T + 8). %3D 13
Transcribed Image Text:Jo 5 ) lo 5) 15 6.3.55 We use the washer method. For each r, the washer has outer radius 2+ 2 sinr and inner radius 2, so the volume is V = T(2+2 sin r)² – 22) dæ = n | (8 sin a + 4 sin? r) da T | (8 sin x + 2(1 – cos 2x)) dx = T(-8 cos x + 2x- sin 2x = T 0. 01 = 7(8+27 + 8) = 27(T + 8). %3D 13
55. y 2 sinx andy 0 on (0, 7): about y=-2
Transcribed Image Text:55. y 2 sinx andy 0 on (0, 7): about y=-2
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