Answered: While cramming for her МАТ examination,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(a) Calculate

(i) the percentage of the formulae the student is able to recall at the time of writing the examination;

(ii) the percentage of the formulae the student is able to recall four weeks after writing the examination.

(b) Show, using the Intermediate Value Theorem, that the student is able to recall exactly 30% of the formulae she crammed for the examination between 4 and 10 weeks of writing the examination.

(c) Apply three iterations of the Secant Method, with and in order to approximate when the student will be able to recall exactly 30% of the formulae she crammed for the exam.

While cramming for her
MAT
ΜΑΤ
examination, a
student learns a large
number of formulae. At a
time x weeks after the
examination, the
percentage of those
formulae that the student
is able to recal1 is
given by
180 + 20e0.5x
p(x) :
1+e0.5x

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