Chapter 7: Q 44. (page 615)
Given that and , find the value ofrole="math" localid="1648828282417" .
Short Answer
The value of.
Chapter 7: Q 44. (page 615)
Given that and , find the value ofrole="math" localid="1648828282417" .
The value of.
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Get started for freeDetermine whether the series converges or diverges. Give the sum of the convergent series.
For each series in Exercises 44–47, do each of the following:
(a) Use the integral test to show that the series converges.
(b) Use the 10th term in the sequence of partial sums to approximate the sum of the series.
(c) Use Theorem 7.31 to find a bound on the tenth remainder .
(d) Use your answers from parts (b) and (c) to find an interval containing the sum of the series.
(e) Find the smallest value of n so that.
Use either the divergence test or the integral test to determine whether the series in Given Exercises converge or diverge. Explain why the series meets the hypotheses of the test you select.
Whenever a certain ball is dropped, it always rebounds to a height p% (0 < p < 100) of its original position. What is the total distance the ball travels before coming to rest when it is dropped from a height of h meters?
In Exercises 48–51 find all values of p so that the series converges.
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