Chapter 7: Q.1.a) (page 630)
If for every x0 and the improper integralconverges, then the improper integral converges. The objective is to whether determine the statement is true or false
Short Answer
True
Chapter 7: Q.1.a) (page 630)
If for every x0 and the improper integralconverges, then the improper integral converges. The objective is to whether determine the statement is true or false
True
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Get started for freeExpress each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
Determine whether the series converges or diverges. Give the sum of the convergent series.
Use either the divergence test or the integral test to determine whether the series in Exercises 32–43 converge or diverge. Explain why the series meets the hypotheses of the test you select.
35.
Find the values of x for which the series converges.
Leila, in her capacity as a population biologist in Idaho, is trying to figure out how many salmon a local hatchery should release annually in order to revitalize the fishery. She knows that ifsalmon spawn in Redfish Lake in a given year, then only fish will return to the lake from the offspring of that run, because of all the dams on the rivers between the sea and the lake. Thus, if she adds the spawn from h fish, from a hatchery, then the number of fish that return from that run k will be .
(a) Show that the sustained number of fish returning approaches as k→∞.
(b) Evaluate .
(c) How should Leila choose h, the number of hatchery fish to raise in order to hold the number of fish returning in each run at some constant P?
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