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i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Work Problem, work. a) ( i) Find the exact length of the curve y = y = x5 1 + 15 4x3 ii) Find the exact area of the surface obtained by rotating the curve 15 about the x-axis. " + ii) Calculate 1 4x3' Show all your 1 ≤ x ≤ 2, 1 ≤ x ≤ 2, b) : Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 9 and y = x² + 1 about the x- axis. c) i) Find the general term (an) of the sequence 3e-2,4e-4,5e-6, 6e-8, 7e-10, 8e-12, ... lim (an) 818 iii) Write a 12 term of the sequence.
Transcribed Image Text:Work Problem, work. a) ( i) Find the exact length of the curve y = y = x5 1 + 15 4x3 ii) Find the exact area of the surface obtained by rotating the curve 15 about the x-axis. " + ii) Calculate 1 4x3' Show all your 1 ≤ x ≤ 2, 1 ≤ x ≤ 2, b) : Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 9 and y = x² + 1 about the x- axis. c) i) Find the general term (an) of the sequence 3e-2,4e-4,5e-6, 6e-8, 7e-10, 8e-12, ... lim (an) 818 iii) Write a 12 term of the sequence.
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