(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 tim 75(t? – 3t + 25) made the statement) that still supports him is given by S(t) %3D 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?
(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 tim 75(t? – 3t + 25) made the statement) that still supports him is given by S(t) %3D 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?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:(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
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?

Transcribed Image Text:(a) The sales of a book publication are expected to grow according to the function
S = 300000(1 - e-0.06t), where tis the time, given in days.
(i) Show using differentiation that the sales never attains an exact maximum value.
(ii) What is the limiting value approached by the sales function?
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