Answered: A poll commissioned by a politician…

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 poll commissioned by a politician estimates that t days after he makes a statement denegrating women, the percentage of his constituency those who support him at the time he made the statement that still supports him is given by

S(t) = 75(t2 - 3t + 25) ÷ t2 + 3t + 25

Based on the previous answer given as 6t^2 - 150 / (t^2 + 3t + 25)^2

(iii) What was his minimum support level?
(iv) Was the approval rate positive or negative on the date of the election?

(b) A poll commissioned by a politician estimates that t days after he makes a statement
denegrating women, the percentage of his constituency (those who support him at the time he
75(t? – 3t + 25)
made the statement) that still supports him is given by S(t) =
t2 + 3t + 25
The election is 10 days after he made the statement.
(i) If the derivative S'(t) may be thought of as an approval rate, derivate the a function
for his approval rate.
(ii) When was his support at its lowest level?
(iii) What was his minimum support level?
(iv) Was the approval rate positive or negative on the date of the election?

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