a) ) Sketch and find the area of the surface obtained by rotating the curve y=/3x+4 for x E [3,5). Is there another curve that gives the same area? Explain. b) Determine whether the geometric series (-1) "-15n-1 6" is convergent or divergent, and if it is convergent, then find its sum. Find also the partial sum Sm and its limit as m+0, Discuss your findings

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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a)
) Sketch and find the area of the surface obtained by rotating the curve
y=/3.x+4 for x E [3,5).
Is there another curve that gives the same area? Explain.
b)
Determine whether the geometric series
(-1) "-15n-1
6"
is convergent or divergent, and if it is convergent, then find its sum. Find also the partial sum Sm and its limit
as m+0, Discuss your findings
Transcribed Image Text:a) ) Sketch and find the area of the surface obtained by rotating the curve y=/3.x+4 for x E [3,5). Is there another curve that gives the same area? Explain. b) Determine whether the geometric series (-1) "-15n-1 6" is convergent or divergent, and if it is convergent, then find its sum. Find also the partial sum Sm and its limit as m+0, Discuss your findings
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