Calculus & Its Applications
12th Edition
ISBN: 9780137590810
Author: Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar, William Edward Tavernetti
Publisher: PEARSON
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Chapter 5.4, Problem 11E
(a)
To determine
To find: The amount of money which was originally deposited.
(b)
To determine
To find: The interest rate.
(c)
To determine
To find: The amount of money in the account after
(d)
To determine
To find: The differential equation and initial condition satisfied by
(e)
To determine
To find: How fast balance is growing when
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39. (a) Show that Σeak converges for each α > 0.
(b) Show that keak converges for each a > 0.
k=0
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#3 Find the derivative y' = of the following functions, using the derivative rules:
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18 For the function y=x³-3x² - 1, use derivatives to:
(a) determine the intervals of increase and decrease.
(b) determine the local (relative) maxima and minima.
(c) determine the intervals of concavity.
(d) determine the points of inflection.
b)
(e) sketch the graph with the above information indicated on the graph.
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