examination roofs. At a time ercentage of those 7 by the formula le to recall at n is le to recall tich is will Sibalive be cof's? erval halvinel O g the initial yield the following eke after which -To of the proofs

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.5: Other Types Of Equations
Problem 65E
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While cramming for her MAT all find / exermination
Sibalive learns a large number of proofs. At a time
I weeks after the examination, the percentage of those
proofs she is able to recall is given by the formula
p(t) = 180 + 20e
1+ €0.5t
According to this formulel
a) the percentage of proces she is able to recall ato
the time of writing the examination is
by the percentage of proofs
Four weeks after writing
(1)
E₂
a how many weeks after the examination will Sibaliwe be
able to receill exactly 40% of the proofs?
d) Applying Four iterations of the interval halvinela
method to F(t) = pct) - 40, taking the initial
approximations t₁ = 3 and ta = 5, yield the following
apprexinations for the number of weeks after which
Sibaline is able to recall exactly 40% of the proofs
she memorized for the examination
and to² =
(21
t3
0.5t
(3)
2167.90
=
=
she is able to recelll
the examination is
Alt
S
Transcribed Image Text:While cramming for her MAT all find / exermination Sibalive learns a large number of proofs. At a time I weeks after the examination, the percentage of those proofs she is able to recall is given by the formula p(t) = 180 + 20e 1+ €0.5t According to this formulel a) the percentage of proces she is able to recall ato the time of writing the examination is by the percentage of proofs Four weeks after writing (1) E₂ a how many weeks after the examination will Sibaliwe be able to receill exactly 40% of the proofs? d) Applying Four iterations of the interval halvinela method to F(t) = pct) - 40, taking the initial approximations t₁ = 3 and ta = 5, yield the following apprexinations for the number of weeks after which Sibaline is able to recall exactly 40% of the proofs she memorized for the examination and to² = (21 t3 0.5t (3) 2167.90 = = she is able to recelll the examination is Alt S
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Follow-up Question
d) Applying four iterations of the Interval Halving Method to f(t) = p(t)-50, taking the
initial approximations t₁ = 1.5 and t₂ = 3.5, yield the following approximations for the number
of weeks after which Sibaliwe is able to recall exactly 50% of the proofs she memorized for
the examination:
=
(2)
13
(4)
Transcribed Image Text:d) Applying four iterations of the Interval Halving Method to f(t) = p(t)-50, taking the initial approximations t₁ = 1.5 and t₂ = 3.5, yield the following approximations for the number of weeks after which Sibaliwe is able to recall exactly 50% of the proofs she memorized for the examination: = (2) 13 (4)
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