(a)
To find: the initial number of students who have heard the rumor.
(a)
Answer to Problem 57E
The initial number of students who have heard the rumor is
Explanation of Solution
Given information :
The spread of a rumor is modeled by the equation
From initial number, plug
The initial number of students who have heard the rumor is
(b)
To find: the rate at which rumor spreading after 4 days.
(b)
Answer to Problem 57E
The rate at which rumor spreading after 4 days is
Explanation of Solution
Given information :
The spread of a rumor is modeled by the equation
Formula needed :
Differentiate
Further simplifying,
Substitute
The rate at which rumor spreading after 4 days is
(c)
To find: the maximum rate and time at which rumor spread.
(c)
Answer to Problem 57E
The maximum rate and time at which rumor spreading is
Explanation of Solution
Given information :
The spread of a rumor is modeled by the equation
Formula needed :
Differentiate
Take
After solving and simplifying,
Substitute
The maximum rate and time at which rumor spreading is
Chapter 3 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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