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

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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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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