5. Find the value of c if Σ (1+ " 2 %3D n=2 5. Find the value of c such that 00 Σ E enc = 10 n=0 . In Example 9 we showed that the harmonic se gent. Here we outline another method, making that e > 1 + x for any x > 0. (See Exercise If s, is the nth partial sum of the harmonic en>n + 1. Why does this imply that the har divergent? • Graph the curves y = x", 0 < x< 1, for n
5. Find the value of c if Σ (1+ " 2 %3D n=2 5. Find the value of c such that 00 Σ E enc = 10 n=0 . In Example 9 we showed that the harmonic se gent. Here we outline another method, making that e > 1 + x for any x > 0. (See Exercise If s, is the nth partial sum of the harmonic en>n + 1. Why does this imply that the har divergent? • Graph the curves y = x", 0 < x< 1, for n
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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Question
#76
Transcribed Image Text:is dropped from
initial height of H meters.
(a) Assuming that the ball continues to bounce indefini
ec-
find the total distance that it travels.
(b) Calculate the total time that the ball travels. (Use th
that the ball falls gt? meters in t seconds.)
(c) Suppose that each time the ball strikes the surface
velocity v it rebounds with velocity -kv, where
0 < k< 1. How long will it take for the ball to co:
in
to rest?
75. Find the value of c if
E (1 + c)¯™ = 2
n=2
76. Find the value of c such that
E enc = 10
n=0
ins
77. In Example 9 we showed that the harmonic series is d
gent. Here we outline another method, making use of
that e> 1 + x for any x > 0. (See Exercise 6.2.109
If sn is the nth partial sum of the harmonic series, s
en >n + 1. Why does this imply that the harmonic
divergent?
A 78. Graph the curves y = x", 0 < x < 1, for n = 0, 1, 2,
on a common screen. By finding the areas between su
curves, give a geometric demonstration of the fact, sh
Example 8, that
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