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a). i) Find the exact length of the curve y = 1/² + 1/ ²15x52 2, 6x ii) Find the exact area of the surface obtained by rotating the curve y = x³ 23/0 + about the x-axis. 6x 1 ≤ x ≤ 2,

a). i) Find the exact length of the curve y = 1/² + 1/ ²15x52 2, 6x ii) Find the exact area of the surface obtained by rotating the curve y = x³ 23/0 + about the x-axis. 6x 1 ≤ x ≤ 2,

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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a). i) Find the exact length of the curve y y = X 1 + 2 6x ii) Find the exact area of the surface obtained by rotating the curve 1 + 2 6x about the x-axis. 9 ii) Calculate 1 ≤ x ≤ 2, 1 ≤ x ≤ 2, b) : Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 11 and y = x² + 3 c) i) Find the general term (an) of the sequence 3e-¹, 10e-2, 29e-3,66e-4, 127e-5,218e-6,... lim (an) n→∞ iii) Write a 12 term of the sequence.
Transcribed Image Text:a). i) Find the exact length of the curve y y = X 1 + 2 6x ii) Find the exact area of the surface obtained by rotating the curve 1 + 2 6x about the x-axis. 9 ii) Calculate 1 ≤ x ≤ 2, 1 ≤ x ≤ 2, b) : Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 11 and y = x² + 3 c) i) Find the general term (an) of the sequence 3e-¹, 10e-2, 29e-3,66e-4, 127e-5,218e-6,... lim (an) n→∞ iii) Write a 12 term of the sequence.
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