Math 241

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1.–/0.71 pointsWaneAC5 5.2.023.My Notes  |
 
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Hercules Films is deciding on the price of the video release of its film Son of Frankenstein. Its marketing people estimate that at a price of p dollars, it can sell a total of 
q = 240,000 − 15,000p
 copies. What price will bring in the greatest revenue? HINT [See Example 3.]
p = $    most rapidly 

   

 

 

   

 

 

    

 

 ft/sec2


(b) Find the point's acceleration at the specified time.
s''(6) =
[removed]ft/sec2

   

 

[removed][removed]
[removed]
 
 
 
10.–/0.71 pointsWaneAC5 5.3.018.My Notes  |
 
 
The graph of a function is given. Find the approximate coordinates of all points of inflection of the function (if any). HINT [See Quick Examples on page 401.] (Assume a = 4.)
(x, y) = 
 [removed] 
 

   

 

[removed][removed]
[removed]
 
 
 
11.–/0.71 pointsWaneAC5 5.3.022.My Notes  |
 
 
The graph of a function is given. Find the approximate coordinates of all points of inflection of the function (if any). HINT [See Quick Examples on page 401.]
(x, y) =( [removed] , [removed] )(smaller x-value)
(x, y) =( [removed] , [removed] )(larger x-value)

   

 

[removed][removed]
 
 
 
12.–/0.71 pointsWaneAC5 5.3.027.My Notes  |
 
 
The graph of the derivative, f '(x), is given. Determine the x-coordinates of all points of inflection of f(x), if any. (Assume that f(x) is defined and continuous everywhere in [−3, 3].) HINT [See the Before we go on discussion in Example 4.]
x =[removed]

    

 

[removed][removed]
 
 
 
13.–/0.71 pointsWaneAC5 5.3.031.My Notes  |
 
 
The graph of the second derivative, f ''(x), is given, where a = 1. Determine the x-coordinates of all points of inflection of f(x), if any. (Assume that f(x) is defined and continuous everywhere in 
[−3, 3].
)
x =[removed] (smaller value)
x =[removed] (larger value)

   

 

[removed][removed]
[removed]

 
 
 
14.–/0.77 pointsWaneAC5 5.3.073.My Notes  |
 
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The following graph shows the total number n of people (in millions) infected in an epidemic as a function of time t (in years). (Assume a = 9.)
(a) When to the nearest year was the rate of new infection largest?
[removed] year(s) into the epidemic

(b) When could the Centers for Disease Control and Prevention announce that the rate of new infection was beginning to drop? HINT [See Example 4.]
[removed] year(s) into the epidemic