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13 In Fig.11.41, the curves y² = 4x and y = 2x² intersect at O and A. (a) Find the coordinates of A. (b) The region bounded by the two curves is rotated about (i) the x-axis, (ii) the y-axis. Find the ratio of the two volumes created. y y = 2x² Fig.11.41 0 y² = 4x X

13 In Fig.11.41, the curves y² = 4x and y = 2x² intersect at O and A. (a) Find the coordinates of A. (b) The region bounded by the two curves is rotated about (i) the x-axis, (ii) the y-axis. Find the ratio of the two volumes created. y y = 2x² Fig.11.41 0 y² = 4x X

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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360°. Find the volume of revolution. 13 In Fig.11.41, the curves y² = 4x and y = 2x² intersect at O and A. (a) Find the coordinates of A. (b) The region bounded by the two curves is rotated about (i) the x-axis, (ii) the y-axis. Find the ratio of the two volumes created. y y = 2x² Fig.11.41 - y² = 4x
Transcribed Image Text:360°. Find the volume of revolution. 13 In Fig.11.41, the curves y² = 4x and y = 2x² intersect at O and A. (a) Find the coordinates of A. (b) The region bounded by the two curves is rotated about (i) the x-axis, (ii) the y-axis. Find the ratio of the two volumes created. y y = 2x² Fig.11.41 - y² = 4x
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